Determining weights of fuzzy attributes for multi-attribute decision-making problems based on consensus of expert opinions

AbstractAn important objective of a group decision-making problem is to determine the weights of attributes that are given by experts participating in the decision-making process. Since different decision-makers have unequal importance in decision-making, a series of studies focused on finding a set of appropriate weights for experts participating in a decision problem. In this paper, the problem of weight determination among decision-makers is investigated by extending an algorithm taken from the technique for order preference by similarity-to-ideal solution. In this case, a pair of most compromising and least compromising solutions is derived from individual judgments of decision-makers and then, these solutions are applied as the bases for determining the magnitude of individual alignment with the group opinion by using a closeness coefficient approach. Determining the weights of decision-makers, the group decision-making problem is then solved. Application of the proposed method is illustrated by a nu...

[1]  Zhongliang Yue,et al.  Extension of TOPSIS to determine weight of decision maker for group decision making problems with uncertain information , 2012, Expert Syst. Appl..

[2]  Ignazio Visco,et al.  Lawrence R. Klein: Macroeconomics, econometrics and economic policy☆ , 2014 .

[3]  Zeshui Xu,et al.  Uncertain Multi-Attribute Decision Making , 2015 .

[4]  Ching-Lai Hwang,et al.  Multiple attribute decision making : an introduction , 1995 .

[5]  Z. Yue.  Approach to group decision making based on determining the weights of experts by using projection method , 2012 .

[6]  Zenonas Turskis,et al.  A hybrid linguistic fuzzy multiple criteria group selection of a chief accounting officer , 2014 .

[7]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[8]  K. Devi,et al.  A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method , 2012, The International Journal of Advanced Manufacturing Technology.

[9]  Marc Roubens,et al.  Multiple criteria decision making , 1994 .

[10]  Z. Yue.  A method for group decision-making based on determining weights of decision makers using TOPSIS , 2011 .

[11]  R. Ramanathan,et al.  Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages , 1994 .

[12]  Piero Risoluti.  Fuzzy Sets, Decision Making, and Expert Systems , 2004 .

[13]  V. Kreinovich.  Interval Computations and Interval-Related Statistical Techniques: Tools for Estimating Uncertainty of the Results of Data Processing and Indirect Measurements , 2009 .

[14]  Yee Leung,et al.  Spatial Analysis and Planning under Imprecision , 1988 .

[15]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[16]  Edmundas Kazimieras Zavadskas,et al.  Multiple Criteria Assessment of Pile-Columns Alternatives , 2011 .

[17]  Zhongliang Yue,et al.  An extended TOPSIS for determining weights of decision makers with interval numbers , 2011, Knowl. Based Syst..

[18]  J. Buckley,et al.  An Introduction to Fuzzy Logic and Fuzzy Sets , 2002 .

[19]  Zeshui Xu,et al.  Uncertain Multi-Attribute Decision Making: Methods and Applications , 2015 .

[20]  Nicolas de Condorcet.  Essai Sur L'Application de L'Analyse a la Probabilite Des Decisions Rendues a la Pluralite Des Voix , 2009 .

[21]  Baoding Liu,et al.  Entropy of Credibility Distributions for Fuzzy Variables , 2008, IEEE Transactions on Fuzzy Systems.

[22]  Zhongliang Yue,et al.  Aggregating crisp values into intuitionistic fuzzy number for group decision making , 2014 .

[23]  Atanu Chaudhuri,et al.  Supply chain risk assessment during new product development: a group decision making approach using numeric and linguistic data , 2013 .

[24]  Ludmil Mikhailov,et al.  A fuzzy programming method for deriving priorities in the analytic hierarchy process , 2000, J. Oper. Res. Soc..

[25]  J. Martel,et al.  A Distance-Based Collective Preorder Integrating the Relative Importance of the Group's Members , 2004 .

[26]  Chen-Tung Chen,et al.  A fuzzy approach for supplier evaluation and selection in supply chain management , 2006 .

[27]  Thomas L. Saaty,et al.  An analytic hierarchy process model of group consensus , 2014 .

[28]  Edmundas Kazimieras Zavadskas,et al.  Multi-criteria analysis of Projects' performance in construction , 2014 .

[29]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[30]  Zhi-ping Fan,et al.  Study on Assessment Level of Experts based on Difference Preference Information , 2007 .

[31]  Deng-Feng Li,et al.  Fuzzy LINMAP method for multiattribute decision making under fuzzy environments , 2006, J. Comput. Syst. Sci..

[32]  Alessio Ishizaka,et al.  Multi-criteria Decision Analysis: Methods and Software , 2013 .

[33]  C. Hwang,et al.  Group Decision Making Under Multiple Criteria: Methods and Applications , 1986 .

[34]  Ludmil Mikhailov,et al.  Deriving priorities from fuzzy pairwise comparison judgements , 2003, Fuzzy Sets Syst..

[35]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[36]  Yejun Xu,et al.  Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations , 2013 .

[37]  Vladik Kreinovich.  Interval computations and interval-related statistical techniques : estimating uncertainty of the results of data processing and indirect measurements , 2014 .

[38]  Edmundas Kazimieras Zavadskas,et al.  State of art surveys of overviews on MCDM/MADM methods , 2014 .

[39]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[40]  Chen-Tung Chen,et al.  Extensions of the TOPSIS for group decision-making under fuzzy environment , 2000, Fuzzy Sets Syst..

[41]  Karel Skokan.  Technological and Economic Development of Economy , 2011 .

[42]  Thomas L. Saaty,et al.  Multicriteria Decision Making: The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation , 1990 .

[43]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[44]  K. Arrow.  A Difficulty in the Concept of Social Welfare , 1950, Journal of Political Economy.

[45]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[46]  Z. Yue.  Developing a straightforward approach for group decision making based on determining weights of decision makers , 2012 .

[47]  E. Zavadskas,et al.  A new fuzzy additive ratio assessment method (ARAS‐F). Case study: The analysis of fuzzy multiple criteria in order to select the logistic centers location , 2010 .

[48]  Edmundas Kazimieras Zavadskas,et al.  Selection of rational dispute resolution method by applying new step‐wise weight assessment ratio analysis (Swara) , 2010 .

[49]  H. Zimmermann.  DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS , 1975 .

[50]  Zhongliang Yue,et al.  A group decision making approach based on aggregating interval data into interval-valued intuitionistic fuzzy information , 2014 .

[51]  E. Zavadskas,et al.  Multiple criteria decision making (MCDM) methods in economics: an overview , 2011 .

[52]  Da Ruan,et al.  Fuzzy group decision-making for facility location selection , 2003, Inf. Sci..

[53]  Zhongliang Yue,et al.  Deriving decision maker's weights based on distance measure for interval-valued intuitionistic fuzzy group decision making , 2011, Expert Syst. Appl..

[54]  Thomas L. Saaty,et al.  Group Decision Making: Drawing Out and Reconciling Differences , 2007 .

[55]  J. Martel,et al.  Quantification De L’importance Relative Des Membres D’un Groupe En Vue De Déterminer Un Préordre Collectif , 2002 .

[56]  Huayou Chen,et al.  Generalized Multiple Averaging Operators and their Applications to Group Decision Making , 2013 .

[57]  R. Venkata Rao,et al.  Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods , 2013 .

[58]  Xiao-hong Chen,et al.  Extension of the TOPSIS method based on prospect theory and trapezoidal intuitionistic fuzzy numbers for group decision making , 2014 .

[59]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .