Dual Hesitant Fuzzy Linguistic Power-Average Operators Based on Archimedean t-Conorms and t-Norms

Abstract

This paper introduces some novel power-average (PA) operators of dual hesitant fuzzy linguistic (DHFL) set with the Archimedean t-conorms and t-norms (ATT) functions, such as the weighted DHFL power-average (ATT-WDHFLPA) operator based on ATT functions and the weighted generalized DHFL power-average operator on ATT functions (ATT-WGDHFLPA). Subsequently, the properties of those new operators are studied and the relationships between operators and existing ones are given. Furthermore, an approach of those operators is developed to solve the group decision-making problem with dual hesitant fuzzy linguistic information. Finally, an example is showing the advantages of those operators, and a sensitivity analysis of the main parameters has illustrated the results.

Keywords

• Dual hesitant fuzzy linguistic set
• power-average operator
• group decision making
• archimedean t-conorms and t-norms