Complex Pythagorean Dombi fuzzy operators using aggregation operators and their decision‐making

A complex Pythagorean fuzzy set, an extension of Pythagorean fuzzy set, is a powerful tool to handle two dimension phenomenon. Dombi operators with operational parameters have outstanding flexibility. This article presents certain aggregation operators under complex Pythagorean fuzzy environment, in...

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Bibliographic Details
Published in:Expert systems 2021-03, Vol.38 (2), p.n/a
Main Authors: Akram, Muhammad, Khan, Ayesha, Borumand Saeid, Arsham
Format: Article
Language:English
Subjects:
Agglomeration
Arithmetic
complex Pythagorean Dombi fuzzy weighted arithmetic averaging operator
complex Pythagorean fuzzy sets
Dombi operations on complex Pythagorean fuzzy numbers
Fuzzy logic
Fuzzy sets
multi criteria decision‐making
Operators (mathematics)
T‐norms
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Summary:A complex Pythagorean fuzzy set, an extension of Pythagorean fuzzy set, is a powerful tool to handle two dimension phenomenon. Dombi operators with operational parameters have outstanding flexibility. This article presents certain aggregation operators under complex Pythagorean fuzzy environment, including complex Pythagorean Dombi fuzzy weighted arithmetic averaging (CPDFWAA) operator, complex Pythagorean Dombi fuzzy weighted geometric averaging (CPDFWGA) operator, complex Pythagorean Dombi fuzzy ordered weighted arithmetic averaging (CPDFOWAA) operator and complex Pythagorean Dombi fuzzy ordered weighted geometric averaging (CPDFOWGA) operator. Moreover, this paper explores some fundamental properties of these operators with appropriate elaboration. A decision‐making numerical example related to the selection of bank to purchase loan is given to demonstrate the significance of our proposed approach. Finally, a comparative analysis with existing operators is given to demonstrate the peculiarity of our proposed operators.
ISSN:0266-4720
1468-0394
DOI:10.1111/exsy.12626