Abstract
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.
Highlights
The increasing complexity of the socioeconomic environments makes it less and less possible for a single decision maker to consider all relevant aspects of a problem
The aim of this paper is to extend the classical VIKOR method to solve the fuzzy multi-criteria group decision making problems in interval-valued intuitionistic fuzzy environment where all the preference information provided by the decision maker is presented as interval-valued intuitionistic fuzzy set, where inter-dependent or interactive characteristics among criteria and preference of decision makers are taken into account
We extend the VIKOR method to solve multicriteria group decision making problems in which all preference information provided by decision makers is expressed as interval-valued intuitionistic fuzzy values, and the interaction phenomena among the preference of individual decision makers and conflicting criteria are taken into account
Summary
The increasing complexity of the socioeconomic environments makes it less and less possible for a single decision maker to consider all relevant aspects of a problem. The aim of this paper is to extend the classical VIKOR method to solve the fuzzy multi-criteria group decision making problems in interval-valued intuitionistic fuzzy environment where all the preference information provided by the decision maker is presented as interval-valued intuitionistic fuzzy set, where inter-dependent or interactive characteristics among criteria and preference of decision makers are taken into account. (i) [34] extended the VIKOR for the multicriteria group decision making problems in interval-valued intuitionistic fuzzy environment, they did not take the interactive characteristics among preference of decision makers into account.
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