期刊
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
卷 33, 期 6, 页码 1197-1233出版社
WILEY
DOI: 10.1002/int.21978
关键词
green supplier selections; Hamacher aggregation operators; Hamacher power aggregation operators; Hamacher prioritized aggregation operators; multiple attribute decision making (MADM); Pythagorean hesitant fuzzy numbers
资金
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [16YJA630033]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
- National Natural Science Foundation of China [71571128, 61174149]
Hamacher product is a t-norm and Hamacher sum is a t-conorm. They are good alternatives to algebraic product and algebraic sum, respectively. Nevertheless, it seems that most of the existing hesitant fuzzy aggregation operators are based on the algebraic operations. In this paper, we utilize Hamacher operations to develop some Pythagorean hesitant fuzzy aggregation operators: Pythagorean hesitant fuzzy Hamacher weighted average (PHFHWA) operator, Pythagorean hesitant fuzzy Hamacher weighted geometric (PHFHWG) operator, Pythagorean hesitant fuzzy Hamacher ordered weighted average (PHFHOWA) operator, Pythagorean hesitant fuzzy Hamacher ordered weighted geometric (PHFHOWG) operator, Pythagorean hesitant fuzzy Hamacher induced ordered weighted average (PHFHIOWA) operator, Pythagorean hesitant fuzzy Hamacher induced ordered weighted geometric (PHFHIOWG) operator, Pythagorean hesitant fuzzy Hamacher induced correlated aggregation operators, Pythagorean hesitant fuzzy Hamacher prioritized aggregation operators, and Pythagorean hesitant fuzzy Hamacher power aggregation operators. The special cases of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean hesitant fuzzy multiple attribute decision making problems. Finally, a practical example for green supplier selections in is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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