Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral

摘要

An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problemwith conflicting criteria and interdependent subjective preference of decisionmakers in a fuzzy environmentwhere preferences of decision makers with respect to criteria are represented by interval-valued intuitionistic fuzzy sets. First, an intervalvalued intuitionistic fuzzy Choquet integral operator is given. Some of its properties are investigated in detail.Theextended VIKOR decision procedure based on the proposed operator is developed for solving themulticriteria group decisionmaking problemwhere 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.