Entropy of interval-valued intuitionistic hesitant fuzzy set and its application to group decision making problems

Abstract

Very often, there exist some situations with a high degree of uncertainty and fuzziness when a group of decision makers are not agreeing on common membership and non-membership values. In such cases, interval-valued intuitionistic hesitant fuzzy set (IVIHFS) is useful in multi-criteria group decision making (MCGDM) problem to represent the assessments of decision criteria. Entropy has been an important and useful tool for MCGDM methods in measuring fuzziness in information and to quantify the uncertain information. In the present study, we have defined entropy measures for IVIHFS along with a novel approach to aggregate interval valued hesitant fuzzy (IVHF) information into interval valued intuitionistic hesitant fuzzy (IVIHF) information. To do this we have defined satisfactory and dissatisfactory intervals in the present study. Proposed aggregation method is used in expansion of a MCGDM in which criteria weights are determined using proposed IVIHF entropy measure. A descriptive example of candidate selection problem is taken in the study to explain methodology of proposed MCGDM method. A comparison analysis is also performed with validity test to validate the performance of proposed IVIHF entropy based MCGDM method.