TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting

Abstract Managers face with many decision-making problems that affect directly viability of their organization. Group decision-making (GDM) can help the managers to make more accurate decisions. The aim of this paper is to develop a new methodology for GDM problems in an intuitionistic fuzzy environment. In this model, the weights of decision makers are determined by using an extended TOPSIS technique. The individual decisions of decision makers are then converted into the group decision of alternatives. The preference of alternatives is ranked by using an extended TOPSIS technique. Comparisons between the proposed method and other methods are also done in order to show the major technical advances in this model. For the purposes of illustration and verification, a numerical example is presented.

[1]  Fei Ye,et al.  Group multi-attribute decision model to partner selection in the formation of virtual enterprise under incomplete information , 2009, Expert Syst. Appl..

[2]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[3]  Zhongliang Yue,et al.  An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making , 2011, Expert Syst. Appl..

[4]  Hsu-Shih Shih,et al.  Incremental analysis for MCDM with an application to group TOPSIS , 2008, Eur. J. Oper. Res..

[5]  Diyar Akay,et al.  A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method , 2009, Expert Syst. Appl..

[6]  Diyar Akay,et al.  A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition , 2014, Inf. Sci..

[7]  Milan Zelany,et al.  A concept of compromise solutions and the method of the displaced ideal , 1974, Comput. Oper. Res..

[8]  Emad Roghanian,et al.  Comparison of first aggregation and last aggregation in fuzzy group TOPSIS , 2010 .

[9]  Yuying Jia,et al.  An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment , 2013, Appl. Soft Comput..

[10]  Mehdi Fasanghari,et al.  Supplier selection using a novel intuitionist fuzzy clustering approach , 2012, Appl. Soft Comput..

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

[12]  E. Stanley Lee,et al.  An extension of TOPSIS for group decision making , 2007, Math. Comput. Model..

[13]  Luis Martínez-López,et al.  A Consensus Support System Model for Group Decision-Making Problems With Multigranular Linguistic Preference Relations , 2005, IEEE Transactions on Fuzzy Systems.

[14]  Kuo-Chen Hung,et al.  Long-term business cycle forecasting through a potential intuitionistic fuzzy least-squares support vector regression approach , 2013, Inf. Sci..

[15]  Yong-Huang Lin,et al.  Multi-attribute group decision making model under the condition of uncertain information , 2008 .

[16]  Janusz Kacprzyk,et al.  A Similarity Measure for Intuitionistic Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning , 2004, ICAISC.

[17]  Guiwu Wei,et al.  Some hesitant interval-valued fuzzy aggregation operators and their applications to multiple attribute decision making , 2013, Knowl. Based Syst..

[18]  Miin-Shen Yang,et al.  A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition , 2012, Inf. Sci..

[19]  Chonghui Guo,et al.  A method for multi-granularity uncertain linguistic group decision making with incomplete weight information , 2012, Knowl. Based Syst..

[20]  Ta-Chung Chu,et al.  An interval arithmetic based fuzzy TOPSIS model , 2009, Expert Syst. Appl..

[21]  S. Farid Mousavi,et al.  Group decision making process for supplier selection with VIKOR under fuzzy environment , 2010, Expert Syst. Appl..

[22]  Kailash C. Kapur,et al.  An Algorithm for Solving Multicriterion Linear Programming Problems with Examples , 1973 .

[23]  Dimitris Askounis,et al.  A new TOPSIS-based multi-criteria approach to personnel selection , 2010, Expert Syst. Appl..

[24]  Yu-Wei Chang,et al.  A new method selection approach for fuzzy group multicriteria decision making , 2013, Appl. Soft Comput..

[25]  M. Sayadi,et al.  Extension of VIKOR method for decision making problem with interval numbers , 2009 .

[26]  Zhongsheng Hua,et al.  A note on group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment , 2007, Math. Comput. Model..

[27]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[28]  A. Hatami-Marbini,et al.  An Extension of the Electre I Method for Group Decision-Making Under a Fuzzy Environment , 2011 .

[29]  Francisco Herrera,et al.  A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets , 2013, Inf. Sci..

[30]  Zeshui Xu A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making , 2010 .

[31]  Yuying Jia,et al.  A method to aggregate crisp values into interval-valued intuitionistic fuzzy information for group decision making , 2013, Appl. Soft Comput..

[32]  Doraid M. Dalalah,et al.  A fuzzy multi-criteria decision making model for supplier selection , 2011, Expert Syst. Appl..

[33]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[34]  Peide Liu,et al.  Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making , 2012, Inf. Sci..

[35]  Zhongliang Yue,et al.  Group decision making with multi-attribute interval data , 2013, Inf. Fusion.

[36]  Zhiming Zhang,et al.  Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making , 2013, Inf. Sci..

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

[38]  Huimin Zhang,et al.  New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets , 2013, Inf. Sci..

[39]  Núria Agell,et al.  Ranking multi-attribute alternatives on the basis of linguistic labels in group decisions , 2012, Inf. Sci..

[40]  P. Dheena,et al.  Multicriteria decision-making combining fuzzy set theory, ideal and anti-ideal points for location site selection , 2011, Expert Syst. Appl..

[41]  D. C. Morais,et al.  Group decision making on water resources based on analysis of individual rankings , 2012 .

[42]  Shyi-Ming Chen,et al.  Group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency , 2014, Inf. Sci..

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

[44]  Cengiz Kahraman,et al.  Information systems outsourcing decisions using a group decision-making approach , 2009, Eng. Appl. Artif. Intell..

[45]  Enrique Herrera-Viedma,et al.  A statistical comparative study of different similarity measures of consensus in group decision making , 2013, Inf. Sci..

[46]  Z. Yue Application of the projection method to determine weights of decision makers for group decision making , 2012 .

[47]  G. Wei,et al.  Uncertain prioritized operators and their application to multiple attribute group decision making , 2013 .

[48]  S. M. Mousavi,et al.  A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment , 2013 .

[49]  Hsu-Shih Shih,et al.  A hybrid MCDM model for strategic vendor selection , 2006, Math. Comput. Model..

[50]  Dan Meng,et al.  On weighted unbalanced linguistic aggregation operators in group decision making , 2013, Inf. Sci..

[51]  Zhongliang Yue,et al.  An avoiding information loss approach to group decision making , 2013 .

[52]  Kin Keung Lai,et al.  A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support , 2011, Decis. Support Syst..

[53]  Janusz Kacprzyk,et al.  Using intuitionistic fuzzy sets in group decision making , 2002 .

[54]  J. H. Park,et al.  Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment , 2011 .

[55]  Guodong Ye,et al.  An Approach for Multiple Attribute Group Decision Making Based on Intuitionistic Fuzzy Information , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[56]  Subhankar Karmakar,et al.  The influence of expert opinions on the selection of wastewater treatment alternatives: a group decision-making approach. , 2013, Journal of environmental management.

[57]  Kaveh Khalili Damghani,et al.  A hybrid fuzzy multiple criteria group decision making approach for sustainable project selection , 2013, Appl. Soft Comput..

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

[59]  Lucian C. Coroianu,et al.  Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity , 2012, Int. J. Approx. Reason..