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Chinese Journal of Management Science ›› 2016, Vol. 24 ›› Issue (6): 132-142.doi: 10.16381/j.cnki.issn1003-207x.2016.06.016

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Multi-Attribute Group Decision Making Based On Extend VIKOR and Induced Generalized Intuitionistic Trapezoidal Fuzzy Choquet Integral

ZHAO Shu-ping1,2, LIANG Chang-yong1,2, LUO Da-wei1,2   

  1. 1. School of Management, Hefei University of Technology, Hefei 230009, China;
    2. Key Laboratory of Process Optimization and Intelligent Decision-making, Ministry of Education, Hefei 230009, China
  • Received:2014-04-16 Revised:2014-12-17 Online:2016-06-20 Published:2016-07-05

Abstract: With regard to multi-attribute group decision making problem with conflicting attributes and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to attributes are represented by intuitionistic trapezoidal fuzzy numbers, are investigated. Combing the definition of fuzzy measure and induced aggregation operator, some new aggregation operators based on Choquet integral are proposed, such as induced generalized intuitionistic trapezoidal fuzzy Choquet integral average(IG-ITFCA)operator and induced generalized intuitionistic trapezoidal fuzzy Choquet integral geometric(IG-ITFCG)operator, some desirable properties of these aggregation operators are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multi-attribute group decision making problem where the interactive attributes weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-attribute group decision making problem in intuitionistic trapezoidal fuzzy environment.

Key words: group decision making, intuitionistic trapezoidal fuzzy number, Choquet integral, interaction, aggregation operators, VIKOR

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