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Decision-Making Approach under Pythagorean Fuzzy Yager Weighted Operators
- Source :
- Mathematics, Vol 8, Iss 1, p 70 (2020), Mathematics, Volume 8, Issue 1
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- In fuzzy set theory, t-norms and t-conorms are fundamental binary operators. Yager proposed respective parametric families of both t-norms and t-conorms. In this paper, we apply these operators for the analysis of Pythagorean fuzzy sets. For this purpose, we introduce six families of aggregation operators named Pythagorean fuzzy Yager weighted averaging aggregation, Pythagorean fuzzy Yager ordered weighted averaging aggregation, Pythagorean fuzzy Yager hybrid weighted averaging aggregation, Pythagorean fuzzy Yager weighted geometric aggregation, Pythagorean fuzzy Yager ordered weighted geometric aggregation and Pythagorean fuzzy Yager hybrid weighted geometric aggregation. These tools inherit the operational advantages of the Yager parametric families. They enable us to study two multi-attribute decision-making problems. Ultimately we can choose the best option by comparison of the aggregate outputs through score values. We show this procedure with two practical fully developed examples.
- Subjects :
- 0209 industrial biotechnology
lcsh:Mathematics
General Mathematics
Fuzzy set
Pythagorean theorem
Aggregate (data warehouse)
decision-making
02 engineering and technology
lcsh:QA1-939
aggregation operators
arithmetic
Fuzzy logic
yager operators
Fully developed
Algebra
020901 industrial engineering & automation
geometric
Binary operation
Pythagorean fuzzy sets
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
020201 artificial intelligence & image processing
Engineering (miscellaneous)
Parametric statistics
Mathematics
Subjects
Details
- ISSN :
- 22277390
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....d6c49ecc03ce200b21e40473d07071c1