Another View on Intuitionistic Fuzzy Preference Relation-Based Aggregation Operators and Their Applications

Abstract

Multi-attribute group decision making ( $$\mathrm {MAGDM}$$ ) can be considered as the process of ranking alternatives or selecting an optimal alternative by many decision makers based on multiple criteria. By comparing any two alternatives pairwise, preference relations provide efficient ways to represent the preference degrees of decision makers. The aim of this paper is to introduce the notions of upward intuitionistic fuzzy preference relations from fuzzy information system and to study some properties of these relations. Further the series of upward intuitionistic fuzzy preference aggregation operators including the upward intuitionistic fuzzy preference weighted averaging $$\left( \mathrm {UIFPWA}\right) $$ operator, upward intuitionistic fuzzy preference ordered weighted averaging $$ \left( \mathrm {UIFPOWA}\right) $$ operator and upward intuitionistic fuzzy preference hybrid averaging $$\left( \mathrm {UIFPHA}\right) $$ operator and their related results are also investigated. We developed a $$\mathrm {MAGDM}$$ method based on the proposed operators under the fuzzy environment and illustrated with a numerical example to study the applicability of the new approach on a candidate selection decision-making problem.