Dual hesitant fuzzy linguistic power-geometric operators based on Archimedean t-conorms and t-norms and their application to group decision making

Article type: Research Article

Authors: Zhang, Nian^{a; b; *} | Yuan, Yin^b | Fu, Deqiang^b | Wei, Guiwu^c

Affiliations: [a] Research Center for Cyber Society Development Problems, Chongqing University of Posts and Telecommunications, Chongqing, People’s Republic of China | [b] School of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing, People’s Republic of China | [c] School of Business, Sichuan Normal University, Chengdu, People’s Republic of China

Correspondence: [*] Corresponding author. Nian Zhang, E-mail: [email protected].

Abstract: Dual hesitant fuzzy linguistic set consists of linguistic terms, membership hesitancy degrees and non-membership hesitancy degrees, which is widely applied to describe the quantitative and qualitative information in the decision-making problem. In this article, some new power aggregation operators of dual hesitant fuzzy linguistic set on the Archimedean t-conorms and t-norms functions are introduced. Then, the properties of those new operators are studied and the relationships between novel operators and existing ones are discussed. Furthermore, an approach to resolve group decision making problem is described. Finally, an example is used to illustrate the developed approach.

Keywords: Dual hesitant fuzzy linguistic set, power-geometric operator, Archimedean t-conorm and t-norm, group decision making

DOI: 10.3233/JIFS-190098

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3829-3847, 2019