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Pythagorean Hesitant Fuzzy Hamacher Aggregation Operators in Multiple-Attribute Decision Making
- Source :
- Journal of Intelligent Systems, Vol 28, Iss 5, Pp 759-776 (2017)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
Abstract
- The Hamacher product is a t-norm and the Hamacher sum is a t-conorm. They are good alternatives to the algebraic product and the algebraic sum, respectively. Nevertheless, it seems that most of the existing hesitant fuzzy aggregation operators are based on algebraic operations. In this paper, we utilize Hamacher operations to develop some Pythagorean hesitant fuzzy aggregation operators: Pythagorean hesitant fuzzy Hamacher weighted average operator, Pythagorean hesitant fuzzy Hamacher weighted geometric operator, Pythagorean hesitant fuzzy Hamacher ordered weighted average operator, Pythagorean hesitant fuzzy Hamacher ordered weighted geometric operator, Pythagorean hesitant fuzzy Hamacher hybrid average operator, and Pythagorean hesitant fuzzy Hamacher hybrid geometric operator. The prominent characteristics of these proposed operators are studied. Then, we utilize these operators to develop some approaches for solving the Pythagorean hesitant fuzzy multiple-attribute decision-making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
- Subjects :
- 0209 industrial biotechnology
hamacher aggregation operators
business.industry
Science
Pythagorean theorem
02 engineering and technology
QA75.5-76.95
pythagorean hesitant fuzzy hamacher hybrid average (phfhha) operator
Fuzzy logic
pythagorean hesitant fuzzy numbers
020901 industrial engineering & automation
Artificial Intelligence
Electronic computers. Computer science
0202 electrical engineering, electronic engineering, information engineering
pythagorean hesitant fuzzy hamacher hybrid geometric (phfhhg) operator
020201 artificial intelligence & image processing
Artificial intelligence
business
Software
Information Systems
Mathematics
Multiple attribute
multiple-attribute decision making (madm)
Subjects
Details
- Language :
- English
- ISSN :
- 03341860
- Volume :
- 28
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Journal of Intelligent Systems
- Accession number :
- edsair.doi.dedup.....80720ab9a0f7c9ab70ad686f7d2031af