\documentclass[11pt,twoside]{article}\makeatletter \IfFileExists{xcolor.sty}% {\RequirePackage{xcolor}}% {\RequirePackage{color}} \usepackage{colortbl} \usepackage{wrapfig} \usepackage{ifxetex} \ifxetex \usepackage{fontspec} \usepackage{xunicode} \catcode`⃥=\active \def⃥{\textbackslash} \catcode`❴=\active \def❴{\{} \catcode`❵=\active \def❵{\}} \def\textJapanese{\fontspec{Noto Sans CJK JP}} \def\textChinese{\fontspec{Noto Sans CJK SC}} \def\textKorean{\fontspec{Noto Sans CJK KR}} \setmonofont{DejaVu Sans Mono} \else \IfFileExists{utf8x.def}% {\usepackage[utf8x]{inputenc} \PrerenderUnicode{–} }% {\usepackage[utf8]{inputenc}} \usepackage[english]{babel} \usepackage[T1]{fontenc} \usepackage{float} \usepackage[]{ucs} \uc@dclc{8421}{default}{\textbackslash } \uc@dclc{10100}{default}{\{} \uc@dclc{10101}{default}{\}} \uc@dclc{8491}{default}{\AA{}} \uc@dclc{8239}{default}{\,} \uc@dclc{20154}{default}{ } \uc@dclc{10148}{default}{>} \def\textschwa{\rotatebox{-90}{e}} \def\textJapanese{} \def\textChinese{} \IfFileExists{tipa.sty}{\usepackage{tipa}}{} \fi \def\exampleFont{\ttfamily\small} \DeclareTextSymbol{\textpi}{OML}{25} \usepackage{relsize} \RequirePackage{array} \def\@testpach{\@chclass \ifnum \@lastchclass=6 \@ne \@chnum \@ne \else \ifnum \@lastchclass=7 5 \else \ifnum \@lastchclass=8 \tw@ \else \ifnum \@lastchclass=9 \thr@@ \else \z@ \ifnum \@lastchclass = 10 \else \edef\@nextchar{\expandafter\string\@nextchar}% \@chnum \if \@nextchar c\z@ \else \if \@nextchar l\@ne \else \if \@nextchar r\tw@ \else \z@ \@chclass \if\@nextchar |\@ne \else \if \@nextchar !6 \else \if \@nextchar @7 \else \if \@nextchar (8 \else \if \@nextchar )9 \else 10 \@chnum \if \@nextchar m\thr@@\else \if \@nextchar p4 \else \if \@nextchar b5 \else \z@ \@chclass \z@ \@preamerr \z@ \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi \fi} \gdef\arraybackslash{\let\\=\@arraycr} \def\@textsubscript#1{{\m@th\ensuremath{_{\mbox{\fontsize\sf@size\z@#1}}}}} \def\Panel#1#2#3#4{\multicolumn{#3}{){\columncolor{#2}}#4}{#1}} \def\abbr{} \def\corr{} \def\expan{} \def\gap{} \def\orig{} \def\reg{} \def\ref{} \def\sic{} \def\persName{}\def\name{} \def\placeName{} \def\orgName{} \def\textcal#1{{\fontspec{Lucida Calligraphy}#1}} \def\textgothic#1{{\fontspec{Lucida Blackletter}#1}} \def\textlarge#1{{\large #1}} \def\textoverbar#1{\ensuremath{\overline{#1}}} \def\textquoted#1{‘#1’} \def\textsmall#1{{\small #1}} \def\textsubscript#1{\@textsubscript{\selectfont#1}} \def\textxi{\ensuremath{\xi}} \def\titlem{\itshape} \newenvironment{biblfree}{}{\ifvmode\par\fi } \newenvironment{bibl}{}{} \newenvironment{byline}{\vskip6pt\itshape\fontsize{16pt}{18pt}\selectfont}{\par } \newenvironment{citbibl}{}{\ifvmode\par\fi } \newenvironment{docAuthor}{\ifvmode\vskip4pt\fontsize{16pt}{18pt}\selectfont\fi\itshape}{\ifvmode\par\fi } \newenvironment{docDate}{}{\ifvmode\par\fi } \newenvironment{docImprint}{\vskip 6pt}{\ifvmode\par\fi } \newenvironment{docTitle}{\vskip6pt\bfseries\fontsize{22pt}{25pt}\selectfont}{\par } \newenvironment{msHead}{\vskip 6pt}{\par} \newenvironment{msItem}{\vskip 6pt}{\par} \newenvironment{rubric}{}{} \newenvironment{titlePart}{}{\par } \newcolumntype{L}[1]{){\raggedright\arraybackslash}p{#1}} \newcolumntype{C}[1]{){\centering\arraybackslash}p{#1}} \newcolumntype{R}[1]{){\raggedleft\arraybackslash}p{#1}} \newcolumntype{P}[1]{){\arraybackslash}p{#1}} \newcolumntype{B}[1]{){\arraybackslash}b{#1}} \newcolumntype{M}[1]{){\arraybackslash}m{#1}} \definecolor{label}{gray}{0.75} \def\unusedattribute#1{\sout{\textcolor{label}{#1}}} \DeclareRobustCommand*{\xref}{\hyper@normalise\xref@} \def\xref@#1#2{\hyper@linkurl{#2}{#1}} \begingroup \catcode`\_=\active \gdef_#1{\ensuremath{\sb{\mathrm{#1}}}} \endgroup \mathcode`\_=\string"8000 \catcode`\_=12\relax \usepackage[a4paper,twoside,lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in,marginparwidth=0.75in]{geometry} \usepackage{framed} \definecolor{shadecolor}{gray}{0.95} \usepackage{longtable} \usepackage[normalem]{ulem} \usepackage{fancyvrb} \usepackage{fancyhdr} \usepackage{graphicx} \usepackage{marginnote} \renewcommand{\@cite}[1]{#1} \renewcommand*{\marginfont}{\itshape\footnotesize} \def\Gin@extensions{.pdf,.png,.jpg,.mps,.tif} \pagestyle{fancy} \usepackage[pdftitle={A Methodological Proposal for the Construction of Municipal Sustainable Development Indices using Data Envelopment Analysis}, pdfauthor={}]{hyperref} \hyperbaseurl{} \paperwidth210mm \paperheight297mm \def\@pnumwidth{1.55em} \def\@tocrmarg {2.55em} \def\@dotsep{4.5} \setcounter{tocdepth}{3} \clubpenalty=8000 \emergencystretch 3em \hbadness=4000 \hyphenpenalty=400 \pretolerance=750 \tolerance=2000 \vbadness=4000 \widowpenalty=10000 \renewcommand\section{\@startsection {section}{1}{\z@}% {-1.75ex \@plus -0.5ex \@minus -.2ex}% {0.5ex \@plus .2ex}% {\reset@font\Large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@}% {-1.75ex\@plus -0.5ex \@minus- .2ex}% {0.5ex \@plus .2ex}% {\reset@font\Large}} \renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% {-1.5ex\@plus -0.35ex \@minus -.2ex}% {0.5ex \@plus .2ex}% {\reset@font\large}} \renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}% {-1ex \@plus-0.35ex \@minus -0.2ex}% {0.5ex \@plus .2ex}% {\reset@font\normalsize}} \renewcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}% {1.5ex \@plus1ex \@minus .2ex}% {-1em}% {\reset@font\normalsize\bfseries}} \def\l@section#1#2{\addpenalty{\@secpenalty} \addvspace{1.0em plus 1pt} \@tempdima 1.5em \begingroup \parindent \z@ \rightskip \@pnumwidth \parfillskip -\@pnumwidth \bfseries \leavevmode #1\hfil \hbox to\@pnumwidth{\hss #2}\par \endgroup} \def\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}} \def\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}} \def\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}} \def\l@subparagraph{\@dottedtocline{5}{10em}{5em}} \@ifundefined{c@section}{\newcounter{section}}{} \@ifundefined{c@chapter}{\newcounter{chapter}}{} \newif\if@mainmatter \@mainmattertrue \def\chaptername{Chapter} \def\frontmatter{% \pagenumbering{roman} \def\thechapter{\@roman\c@chapter} \def\theHchapter{\roman{chapter}} \def\thesection{\@roman\c@section} \def\theHsection{\roman{section}} \def\@chapapp{}% } \def\mainmatter{% \cleardoublepage \def\thechapter{\@arabic\c@chapter} \setcounter{chapter}{0} \setcounter{section}{0} \pagenumbering{arabic} \setcounter{secnumdepth}{6} \def\@chapapp{\chaptername}% \def\theHchapter{\arabic{chapter}} \def\thesection{\@arabic\c@section} \def\theHsection{\arabic{section}} } \def\backmatter{% \cleardoublepage \setcounter{chapter}{0} \setcounter{section}{0} \setcounter{secnumdepth}{2} \def\@chapapp{\appendixname}% \def\thechapter{\@Alph\c@chapter} \def\theHchapter{\Alph{chapter}} \appendix } \newenvironment{bibitemlist}[1]{% \list{\@biblabel{\@arabic\c@enumiv}}% {\settowidth\labelwidth{\@biblabel{#1}}% \leftmargin\labelwidth \advance\leftmargin\labelsep \@openbib@code \usecounter{enumiv}% \let\p@enumiv\@empty \renewcommand\theenumiv{\@arabic\c@enumiv}% }% \sloppy \clubpenalty4000 \@clubpenalty \clubpenalty \widowpenalty4000% \sfcode`\.\@m}% {\def\@noitemerr {\@latex@warning{Empty `bibitemlist' environment}}% \endlist} \def\tableofcontents{\section*{\contentsname}\@starttoc{toc}} \parskip0pt \parindent1em \def\Panel#1#2#3#4{\multicolumn{#3}{){\columncolor{#2}}#4}{#1}} \newenvironment{reflist}{% \begin{raggedright}\begin{list}{} {% \setlength{\topsep}{0pt}% \setlength{\rightmargin}{0.25in}% \setlength{\itemsep}{0pt}% \setlength{\itemindent}{0pt}% \setlength{\parskip}{0pt}% \setlength{\parsep}{2pt}% \def\makelabel##1{\itshape ##1}}% } {\end{list}\end{raggedright}} \newenvironment{sansreflist}{% \begin{raggedright}\begin{list}{} {% \setlength{\topsep}{0pt}% \setlength{\rightmargin}{0.25in}% \setlength{\itemindent}{0pt}% \setlength{\parskip}{0pt}% \setlength{\itemsep}{0pt}% \setlength{\parsep}{2pt}% \def\makelabel##1{\upshape ##1}}% } {\end{list}\end{raggedright}} \newenvironment{specHead}[2]% {\vspace{20pt}\hrule\vspace{10pt}% \phantomsection\label{#1}\markright{#2}% \pdfbookmark[2]{#2}{#1}% \hspace{-0.75in}{\bfseries\fontsize{16pt}{18pt}\selectfont#2}% }{} \def\TheFullDate{2020-01-15 (revised: 15 January 2020)} \def\TheID{\makeatother } \def\TheDate{2020-01-15} \title{A Methodological Proposal for the Construction of Municipal Sustainable Development Indices using Data Envelopment Analysis} \author{}\makeatletter \makeatletter \newcommand*{\cleartoleftpage}{% \clearpage \if@twoside \ifodd\c@page \hbox{}\newpage \if@twocolumn \hbox{}\newpage \fi \fi \fi } \makeatother \makeatletter \thispagestyle{empty} \markright{\@title}\markboth{\@title}{\@author} \renewcommand\small{\@setfontsize\small{9pt}{11pt}\abovedisplayskip 8.5\p@ plus3\p@ minus4\p@ \belowdisplayskip \abovedisplayskip \abovedisplayshortskip \z@ plus2\p@ \belowdisplayshortskip 4\p@ plus2\p@ minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 2\p@ plus1\p@ minus1\p@ \parsep 2\p@ plus\p@ minus\p@ \itemsep 1pt} } \makeatother \fvset{frame=single,numberblanklines=false,xleftmargin=5mm,xrightmargin=5mm} \fancyhf{} \setlength{\headheight}{14pt} \fancyhead[LE]{\bfseries\leftmark} \fancyhead[RO]{\bfseries\rightmark} \fancyfoot[RO]{} \fancyfoot[CO]{\thepage} \fancyfoot[LO]{\TheID} \fancyfoot[LE]{} \fancyfoot[CE]{\thepage} \fancyfoot[RE]{\TheID} \hypersetup{citebordercolor=0.75 0.75 0.75,linkbordercolor=0.75 0.75 0.75,urlbordercolor=0.75 0.75 0.75,bookmarksnumbered=true} \fancypagestyle{plain}{\fancyhead{}\renewcommand{\headrulewidth}{0pt}} \date{} \usepackage{authblk} \providecommand{\keywords}[1] { \footnotesize \textbf{\textit{Index terms---}} #1 } \usepackage{graphicx,xcolor} \definecolor{GJBlue}{HTML}{273B81} \definecolor{GJLightBlue}{HTML}{0A9DD9} \definecolor{GJMediumGrey}{HTML}{6D6E70} \definecolor{GJLightGrey}{HTML}{929497} \renewenvironment{abstract}{% \setlength{\parindent}{0pt}\raggedright \textcolor{GJMediumGrey}{\rule{\textwidth}{2pt}} \vskip16pt \textcolor{GJBlue}{\large\bfseries\abstractname\space} }{% \vskip8pt \textcolor{GJMediumGrey}{\rule{\textwidth}{2pt}} \vskip16pt } \usepackage[absolute,overlay]{textpos} \makeatother \usepackage{lineno} \linenumbers \begin{document} \author[1]{Wesley Osvaldo Pradella Rodrigues} \author[2]{Daniel Massen Frainer} \author[3]{Daniel Amorim Souza Centuriao} \affil[1]{ Universidade Estadual do Mato Grosso do Sul.} \renewcommand\Authands{ and } \date{\small \em Received: 16 December 2019 Accepted: 5 January 2020 Published: 15 January 2020} \maketitle \begin{abstract} In this study we constructed the Municipal Sustainable Development Index (MSDI) with the use of Data Envelopment Analysis (DEA), consider ing seventeen (17) socioeconomic and environmental indicators, thus achieving the classification of towns in the state of Mato Grosso do Sul (MS), like sustainable development, local strengths, and weaknesses that may facilitate or hinder the regional sustainable development. The state of MS goes through a process of influential agro-industrial development, with powerful environmental impact, requiring measures of State Public Policymakers. The MSDI was formulated following the tripod structure of social sustainability (SDI - Social Development Index), economic (EDI â??" Economic Development Index) and environmental (EnDI â??" Environmental Development Index). Selected indicators of each structure represented each sustainability aspect, being tested separately by the models DEA-CCR and DEA-BCC to generate efficiency scores for subsequent aggregation into a synthetic index that represents the sustainable development of municipalities. The relevance of the present work consisted of broadening the debate on sustainable development and identifying the local inequalities and the need for targeting public policies in order that promote sustainable and comprehensive development. In applying the methodology, DEA-BCC model fits best to the data of the municipalities considered. The inefficiencies found were for the most part, related to economic aspects. \end{abstract} \keywords{sustainability index; DEA; ecological economics.} \begin{textblock*}{18cm}(1cm,1cm) % {block width} (coords) \textcolor{GJBlue}{\LARGE Global Journals \LaTeX\ JournalKaleidoscope\texttrademark} \end{textblock*} \begin{textblock*}{18cm}(1.4cm,1.5cm) % {block width} (coords) \textcolor{GJBlue}{\footnotesize \\ Artificial Intelligence formulated this projection for compatibility purposes from the original article published at Global Journals. However, this technology is currently in beta. \emph{Therefore, kindly ignore odd layouts, missed formulae, text, tables, or figures.}} \end{textblock*} \let\tabcellsep& \section[{Introduction}]{Introduction}\par ndicators are crucial to guide decision-makers in a variety of public policy directions. The information generated by them facilitates the decision-making process and can help measure the success of policies aimed at sustainable development.\par In 1992, there was a large reorganization of the indicators list. Such reorganization allowed countries to create information that helps in sustainable development decisions being articulated in the Agenda 21, that contain the objective of devel oping and identifying sustainable development indicators that could provide a sound basis for decision-makers at all levels. Also, the Agenda 21 draws attention to the development and harmonization of the sustainable development indicators at the regional, national, and global levels, including the incorporation of a suitable set of these in common indicators {\ref (UN, 2001)}.\par In response to Agenda 21, the Commission for Sustainable Development (CSD) approved the Work on Indicators of Sustainable Development program in 1995. The objective of thi s program was t o create sustainable development indicators accessible to decision-makers at the national level {\ref (UN, 2001)}.\par Creating a structure to organize the selection and development of sustainability indicators is essential for the regionals classification in terms of sustainable development and possible decision-making . The need to create this structure and the choice of a set of indicators can be measured by the priority established by its users, in this case: specialists, civil society and decision makers, resp onsible for the devel opment and use of indicators for the monitoring of the sustainable development process {\ref (UN, 2001)}.\par Based on the recent construction of sustainable development indicators suggested in the literature, it is possible to assess situations and trend s, besides comparing and classifying locations and describe their situation about the ideal scenario providing early warning information as well as predicting future conditions and trends. The aim of this study was to construct a methodol ogy that would allow ranking the 78 municipalities that make up the State of Mato Grosso do Sul (Brazil), using the Municipal Sustainable Development Index (MSDI),as from the indicators of the social, economic and environmental dimensions using the data envelopment analysis (DEA) as a tool.\par Thus, this work is organized into three sections, besides thi s introduction. The first one disc usses the emergence and applications of sustainable development indices in Brazil and in the World. The second section discusses a methodology suggestion for the devel opment of a Sustainable Development Indicator for the municipalities of Mato Grosso do Sul. Section three analyzes the results obtained by applying the proposed methodology to a set of representative indicators of the proposed topics, ranking the municipalities of Mato Grosso do Sul on the issue of sustainability. \section[{II. Indices of Sustainable Development in}]{II. Indices of Sustainable Development in}\par Brazil and in the World\par On a domestic and global scale, several indices have arisen, especially, over the past decades, including: the Environmental Sustainability Index; Ecological-Economic Efficiency Index, Consumer Pressure Index; Ecological Footprint Index; Sustainable Economic Welfare Index; Genuine Progress Index, among others {\ref (Jollands, 2006)}.\par The starting point for analysis and assessment of sustainable development i s based on the construction of proxy indicators to describe briefly the aspects of sustainability as in Ronchi et.al. {\ref (2002)}, Nourry (2008) and Nader et al. {\ref (2008)}. However, there is no perfect or unique way of measuring the sustainable development. There i s a need to analyze di fferent development, and sustainability indicators to find out the best way to assess a country's sustainable development {\ref (Nourry, 2008)}.\par In the version of the Commissi on for Sustainable Development , the set of sustainable development indicators developed between 1994 and 2001. These devel oped indicators have been extensively tested, applied, and used by many countries as the basis for the development of national indicators of sustainable devel opment (UN, 2007). The choice for a set of indicators needs to take into account its efficiency regarding the interpretative process, synthesizing the complexity of the research object {\ref (MANZONI, 2006)}.\par According to {\ref Roldán and Valdés (2002)}, who calculated Sustainable Development Indices for seven Mexican municipalities, located within the Coatzacolcos River basin region, using as a reference the methodology of Agenda 21 and the Organization for Economic Cooperation and Development OECD), the selection of relevant indicators should be established according to the following criteria: Availability and reliability of the data source; Use of current statistical data; Use of data belonging to the three systems: economic, social and environmental of all municipalities involved in the research; Holistic approach, which included qualitative and quantitative data in an integrated way.\par In the international community, researches related to sustainability and sustainable development are in a more advanced and in-depth rhythm. Proof of this are magazines, universities, and even research centers focused on the subject, as the work of Cavalcanti (2010) points out.\par To supply synthetic indicators for measuring sustainable development, recently applications are noteworthy. They are noteworthy because they deal with the construction of these indicators, as it is desired in this work, with the approach of sustainable development in an integrated manner, being these the works of Ciegis, Ramanauskiene and Startiene (2009); Rinne, Lyytimäki and Kautto (2013); Hák, Janou?ková and Moldan (2015); Bravo (2013).\par These applications, besides their outstanding contributions to the method, they mainly give a key design on the scale that the ecological indicators or indicators of sustainability have been taking over time. Moreover, it is up to them to demand the treating of a broad and complex c ontext of human interaction with the environment in a synthetic, simple and clear way, to enable decision-making and policy-making. About this perception Zurlini and Girardin (2008) present an important reflection: "Thus, indicators need to be constantly re-evaluated and re-interpreted in the li ght of the increasing understanding of the whole organization and functioning of social-ecological sy stem s."\par To combine mathematical, methodological and theoretical efforts in the search for indicators that better reflect the addressed reality, making it possible to review what i s laid, besides suggesting new methodologies, Ciegis, Ramanauskiene and Startiene (2009), point out: "Therefore, assessm ent of sustainable development needs integrated approach, a set of multi-dimensional indicators, which evaluate both separate parts of the system and their relationships". Thus, it is given the praxis indications for the elaboration of indicators of this nature. It is a great example of the relevance theme, the Economic Commissi on for Latin America and the Caribbean (ECLAC), as well as the recently launched Agenda 2030 y losobjetivos de Desarrollo Sostenible uma oportuni dade para América Latina y el Caribe (2017). They make a set of actions for the intensification of sustainable development for Latin America and the Caribbean to contribute to the public agendas formulation.\par The work of Henriquez and Herrera (2012) makes a descriptive analysis of the initiatives for sustainable development in Latin America on the aspects of foreign direct investment, development of goods and products industries, besides other factors seeking to understand their influence on sustainable development in Latin America.\par Also the ECLAC's rep ort Acesso a la informacíon, partici pacion y justicia en temas ambientales em América Latina y el Caribe: Situación actual, perspectivas e ejemplos de buenas práticas, presents a case study perspective and highlights as one of the challenges for the environmental i ssues in Latin America: the need to improve information processing "A fin de que la ciuda danía pueda partici par de manera informada en la toma de deci siones em materia ambiental, se requiere mejorarlas capaci dades de producir, procesar y difundir información sobre el estado delmedio ambiente a nivel nacional .".\par In Brazil, the main official method ological approach is the periodic survey of IBGE -Brazilian Institute of Statistical Geography, beginning in 2002, and updated and revi sed in {\ref 2004, 2008, 2010, and} {\ref 2008}). An important point for the c onstruction of synthetic indices is the data availability, the critical issue pointed out by the IBGE report itself (2015) for the survey years of sustainable development indicators in Brazil demonstrating the difficulty of adjusting some variables mainly with their periodic availability for data collection.\par Even given the efforts observed by IBGE and ECLAC, it should be noted that there is a way to be followed about to the method and concept, so that the indicators currently used and calculated can converge more and more towards the direction indicated in the international literature, observing obviously the local specificities. In thi s context, the elaboration and use of municipal sustainable development indicators to carry out this study followed the development proposed by {\ref Roldán and Valdés (2002)}. It was taken into account the specificities of the Brazilian economy and, in particular, the state of Mato Grosso do Sul, but seeking to connect to the broad reflection on indicators carried out by researchers worldwide on the topic. \section[{III.}]{III.} \section[{Material and Methods}]{Material and Methods}\par The methodol ogy prop osed in this article for calculating the Municipal Sustainable Development Index (MSDI) considered all seventy-eight (78) municipalities in the State of Mato Grosso do Sul (Brazil), including the economic, social and environmental representativeness with the purpose of assessing the sustainability levels, considering the globally used criteria for the choice of sustainability indicators. According to Martins and Cândido (2008), each of the selected indicators should have the following characteristics: a) Be significant for the reality investigated and for the study focus, b) Be relevant to the decisions that guide public policies, c) Reflect the temporal changes, d) Enable an integrated and systemic approach, e) Use measurable indicators, f) Be easy for interpretation and communication, g) Have a well-defined , transparent and objective methodology for research purposes.\par In addition to these listed criteria, the main reason for the choice of indicators was the availability of statistical data for all Mato Grosso do Sul municipalities. For a definition of the indicators representing aspects of economic, social and environmental development, a normalization of data was performed , to enable an analysis of different units and sizes of municipalities.\par Waquil et.al.( {\ref 2010}), suggested the methodology used to define the indicators featuring the geographical areas in a multidimensional way through the perception of their personal distinctions and identities. Moreover, the publication of "Indicators of Sustainable Development: Brazil 2002," the Brazilian Institute of Geography and Statistics (IBGE), became a guide for preparing the set of indicators that would allow complete assessment of sustainability, considering the peculiarities and characteristics of the Brazilian and Mato Grosso do Sul reality.\par Casado and Souza (2008) determine the MSDI, researchers have used data envelopment analysis concepts -DEA (Data Envelopment Analysis), whose non-parametric technique uses mathematical programming to build production efficiency frontiers of production units -DMUs (Decision Making Units), which use similar technological processes to transform multiple inputs into multiple products.\par Also, according to Casad o and Souza (2008), the DEA efficiency frontiers are used to evaluate the relative efficiency of the operational plans run by the DMUs and serve as a reference for the establishment of efficient g oals for each production unit. The DEA assess the effectiveness of organizations whose activities are not aimed at profit or for which there are no pre-set prices for all input s and or all products.\par Thus, the DEA objective is to find the best virtual DMU for each DMU in the sample. According to {\ref Charnes et al. (1994)}, the virtual DMU is better than the original DMU for producing more with the same amount of inputs, or because it produces the same quantity using fewer inputs. The original DMU will be inefficient. Therefore, the production efficient frontier will be the one that represents the assessed units can to maximize the inputs used in the products produced or, still, manages to produce a greater quantity of products with a smaller amount of inputs.\par To use the DEA in the analysi s of social, economic, and environmental indicators, some indicators were defined as inputs (inputs) and others such as products (outputs). {\ref Charnes et al . (1994)} emphasize the efficiency as a relative concept, that i s, the efficiency 1 (one), or 100\% , is achieved by a unit when compared with other units showing neither inefficiency evidence in the input use nor the product output. In other word s, the units that achieve maximum performance about others will be considered technically efficient. Still, it does not mean that they are necessarily efficient absolute terms. A DMU technical efficiency can range from 0 (zero) to 1 (one), so that, whenever closer to 1, the higher will be the DMU efficiency degree.\par There are two techniques used in DEA: the constant return scale, also called CRR or CRS (Constant Returns to Scale), originally developed by \hyperref[b5]{Charnes et al. (1978)} and the variable return of scale, called BCC or VRS (Variable Returns to Scale), developed by \hyperref[b0]{Banker et al. (1984)}. The difference between one technique and the other is that, in the first , the input and product (output) variables undergo proportional or c onstant changes, in the second technique, these changes are variable.\par For \hyperref[b14]{Gomes et al. (2003)}, in the classic DEA techniques, both in the CCR technique and in the BCC technique, it is assumed total freedom of production, that is, the production of one DM U does not interfere in the production of the others. Also, according to the authors, how the inefficient DMUs are projected at the efficiency frontier is the way that determines the model orientation.\par DEA models can be input or product (output) oriented, and the analyst as the starting point in the DEA analysis must choose this orientation in advance. The input orientation indicates that it is desired to reduce (minimize) the inputs, keeping the products (output) unchanged. On the other hand, product orientation means that one wants t o increase the products (output) without changing the input {\ref (Lins et al., 2000)}.\par In the present research, we used the inputoriented technique, in which the resources used for each of the aspects were considered to evaluate the sustainability separately and to determine an average of efficiency to create a classification of the municipalities in relation to the obtained results.\par Therefore, we started from the following equations in a primal solution:subject to: (1)\textbf{(2)}\par Where: u r, v i > 0; r = 1, ...,s ; i= 1, ..., m.\par The above model is a linear fractional programming model that can be transformed into a common linear form so that we can use conventional linear programming method s. Thi s transformation takes place as follows: Input-oriented (primal) CCR model:\par (3) subject to:(4)\textbf{(5) (6) (7)}\par Other DEA basic model would be the DEA-BCC that presents the frontier's surface with variable returns of scale. Developed by Banker, {\ref Charnes and Rhodes (1984)} this model is relevant to the study of efficiency because it admits that not always, the technology presents constant returns to scale and this return may decrease, grow or even getting constant as it increases or reduces the production scale.\par In the DEA-BCC model, having in view the frontier's surface change to the model's fractional formula, the variable (omega) will be added to represent that it is possible to vary the surface, resulting as follows:\par DEA-BCC input-oriented (primal) model: Note that structurally the CCR and BCC models are similar. In BCC, the scores can be equal to or smaller than one. In the second restriction, the variable was al so added. There i s one more restriction for convexity .\par The first procedure prior to the DEA application was to define the social, economic and environmental development indices, SDI, EDI and EnD), respectively, which would be representative of the social, economic and environmental indicators, as well as of each function (input/output) within the resource use process. The inputs/outputs were defined based on the economic literature of indicators and mainly by the availability of indicators that reflected in a social case. As an example an important social input that generated, therefore, a social output, that is, for example, increases in the revenues received by the SUS-(Unified Health System, the public health system in Brazil), can lead to a reduction in infant mortality, thus the listed inputs and outputs assume correspondence with each other. Thus, the municipal sustainable development index (MSDI) was calculated from the aggregation of the three The first step consisted of secondary data searches that had municipal cuts from several Brazilian sources, in which it was possible to select the indicators to be used in the DEA in the calculation of SDI, EDI and EnDI indicators. For eac h selected indicator it was defined: its size, function, source used and year of collection (Chart 1). Some municipal indicators, in absolute values, were normalized, based on the population of each municipality, to facilitate the results' comparisons. Thus, the data compilation and the indicators development that provide simple and comparable information for different sizes of municipalities have proved to be necessary.\par In the second step, the indicators were inserted in the DEA models, respecting the social, economic and environmental dimensions. With the use of SIAD software, which allows for the resolution of these models, it was possible to generate the three indices: SDI, EDI and EnDI, of the social, economic and environmental development aspects, respectively, for subsequent synthesis and production of the municipal sustainable development index (MSDI). First, we tested the DEA-CCR model and , later, the DEA-BCC model. The results were compared in order to define which In the third step, after the decision on the DEA results, for each of the calculated SDI, EDI and EnDI indicators, they were aggregated to form the MSDI indicator. The construction of this index is an empirical work based on the methodol ogy originally proposed by Cândido and Vasconcelos (2010), by the use of indices weighted by topic to compose the Municipal Sustainable Devel opment Index (MSDI). In this work, equal weights were established for the three indicators generated by the DEA, so that expression (1) represented the simple arithmetic mean of the three indicators, representative of each of the issues of social, economic and environmental devel opment. \section[{MSDI =}]{MSDI =}\par SDI +EDI +EnDI 3 \hyperref[b12]{(12)} Where: EDI = economic development index; SDI = social development index; EnDI = environmental devel opment index.\par The MSDI index ranges from 0 to 1, the same variation of each indicator that goes in its composition, and its result expresses the direct prop ortionality of its value with the level of the municipal sustainability, so that, the closer to 1, the more sustainable is the indicator. Sá Barreto et al. (2005) classified he MSDI according to the following scale: 0,0