Interval-Valued Dual Hesitant Fuzzy Hamacher Aggregation Operators for Multiple Attribute Decision Making

Jiang Chao (), Jiang Shenqing () and Chen Jianlan ()
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Jiang Chao: Department of Basic Courses, Nantong Shipping College, Nantong, 226010, China
Jiang Shenqing: Department of Basic Courses, Nantong Shipping College, Nantong, 226010, China
Chen Jianlan: Department of Basic Courses, Nantong Shipping College, Nantong, 226010, China

Journal of Systems Science and Information, 2019, vol. 7, issue 3, 227-256

Abstract: As an generalization of hesitant fuzzy set, interval-valued hesitant fuzzy set and dual hesitant fuzzy set, interval-valued dual hesitant fuzzy set has been proposed and applied in multiple attribute decision making. Hamacher t-norm and t-conorm is an generalization of algebraic and Einstein t-norms and t-conorms. In order to combine interval-valued dual hesitant fuzzy aggregation operators with Hamacher t-norm and t-conorm. We first introduced some new Hamacher operation rules for interval-valued dual hesitant fuzzy elements. Then, several interval-valued dual hesitant fuzzy Hamacher aggregation operators are presented, some desirable properties and their special cases are studied. Further, a new multiple attribute decision making method with these operators is given, and an numerical example is provided to demonstrate that the developed approach is both valid and practical.

Keywords: multiple attribute decision making; interval-valued dual hesitant fuzzy set; Hamacher t-norm and t-conorm; interval-valued dual hesitant fuzzy Hamacher aggregation operators (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:7:y:2019:i:3:p:227-256:n:2

DOI: 10.21078/JSSI-2019-227-30

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