Open AccessInterval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral
Author(s) -
Chunqiao Tan,
Xiaohong Chen
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/656879
Subject(s) - choquet integral , vikor method , group decision making , mathematics , operator (biology) , preference , fuzzy logic , group (periodic table) , interval (graph theory) , mathematical optimization , interdependence , multiple criteria decision analysis , computer science , artificial intelligence , statistics , combinatorics , biochemistry , chemistry , organic chemistry , repressor , political science , transcription factor , law , gene
An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problem with conflicting criteria and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to criteria are represented by interval-valued intuitionistic fuzzy sets. First, an interval-valued intuitionistic fuzzy Choquet integral operator is given. Some of its properties are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multicriteria group decision making problem where the interactive criteria weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-criteria group decision making problem in interval-valued intuitionistic fuzzy environment
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