Hesitant Trapezoid Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making

Yu Qian (), Cao Jun (), Tan Ling (), Zhai Yubing () and Liu Jiongyan ()
Additional contact information
Yu Qian: School of Business and Administration, Chongqing University of Science & Technology, Chongqing401331, China
Cao Jun: School of Business and Administration, Chongqing University of Science & Technology, Chongqing401331, China
Tan Ling: School of Business and Administration, Chongqing University of Science & Technology, Chongqing401331, China
Zhai Yubing: School of Management and Economics, Beijing Institute of Technology, Beijing100081, China
Liu Jiongyan: School of Business and Administration, Chongqing University of Science & Technology, Chongqing401331, China

Journal of Systems Science and Information, 2020, vol. 8, issue 6, 524-548

Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of hesitant trapezoid fuzzy information. Firstly, inspired by the idea of hesitant fuzzy sets and trapezoid fuzzy numbers, the definition of hesitant trapezoid fuzzy set and some operational laws of hesitant trapezoid fuzzy elements are proposed. Then some hesitant trapezoid fuzzy aggregation operators based on Hamacher operation are developed, such as the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator, the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator, the hesitant trapezoid fuzzy Hamacher Choquet average (HTrFHCA), the hesitant trapezoid fuzzy Hamacher Choquet geometric (HTrFHCG), etc. Furthermore, an approach based on the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator and the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator is proposed for MADM problems under hesitant trapezoid fuzzy environment. Finally, a numerical example for supplier selection is given to illustrate the application of the proposed approach.

Keywords: multiple attribute decision making (MADM); hesitant trapezoid fuzzy set (HTrFS); Hamacher operation; Choquet integral (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21078/JSSI-2020-524-25 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:8:y:2020:i:6:p:524-548:n:6

DOI: 10.21078/JSSI-2020-524-25

Access Statistics for this article

Journal of Systems Science and Information is currently edited by Shouyang Wang

More articles in Journal of Systems Science and Information from De Gruyter
Bibliographic data for series maintained by Peter Golla ().