Hesitant-Intuitionistic Trapezoidal Fuzzy Prioritized Operators Based on Einstein Operations with Their Application to Multi-criteria Group Decision-Making

Abstract

In this article, a ranking method for hesitant-intuitionistic trapezoidal fuzzy (H–ITF) numbers (H–ITFNs) is proposed. After introducing H–ITFN, the concept of score function and accuracy function of H–ITFN are defined and H–ITF prioritized weighted averaging and geometric operators based on Einstein operations are developed. Some desirable properties of the proposed operators are investigated in detail. A method for ordering the alternatives in multi-criteria group decision-making problems with H–ITF information based on different priority levels of decision-makers and criteria is presented. An illustrative example concerning academic resource deployment in educational institutions studied previously, is considered and solved. The comparison of the results with earlier methods reflects superiority of the proposed methodology.