Dual Hesitant Fuzzy Set and Intuitionistic Fuzzy Ideal Based Computational Method for MCGDM Problem

Abstract

In this article, the authors propose a computational method for multi criteria decision making problems using dual hesitant fuzzy information. In this study, the authors mention limitation of fuzzy ideals over a semi ring of positive integers and propose fuzzy ideal over a semi ring over subset of rationals. An intuitionistic fuzzy ideal of semi rings is also defined in this article which is used in idealizing aggregated dual hesitant group preference matrixes. The proposed approach appears in the form of simple computational algorithms. The main characteristic of the proposed approach is it considers the relationship between attributes, and so it takes into account relative preferences of attributes to find out the ranking order of attributes while other methods consider various attributes independently. An example of a supplier selection problem is undertaken to understand the implementation of the proposed computational approach based on MCGDM with dual hesitant information and ranking results compared with different methods.