The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
Fermatean fuzzy weighted averaging/geometric operators and its application in multi-criteria decision-making methods
Abstract
Abstract Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (0000), can handle uncertain information more easily in the process of decision making. They defined basic operations over the Fermatean fuzzy sets. Here we shall introduce four new weighted aggregated operators, namely, Fermatean fuzzy weighted average (FFWA) operator, Fermatean fuzzy weighted geometric (FFWG) operator, Fermatean fuzzy weighted power average (FFWPA) operator, Fermatean fuzzy weighted power geometric (FFWPG) operator over Fermatean fuzzy sets. We discuss their corresponding desirable properties in details. In addition, we shall give some conditions to examine the correctness regarding the defined operations. Then, we propose an approach for MCDM problem in light of new operators under Fermatean fuzzy condition. At last, a viable case for picking the specific spots for home construction is given to check the created approach and to show its practicability and viability.
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Cites
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On ordered weighted averaging aggregation operators in multicriteria decisionmaking
Yager, R. R. (1988) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/21.87068 · Cited by 7,289
Self-citationFuzzy Sets and Fuzzy Logic: Theory and Applications
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Pythagorean Membership Grades in Multicriteria Decision Making
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Self-citationYager, R. R. (2013) · 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) · doi:10.1109/ifsa-nafips.2013.6608375 · Cited by 2,703
Self-citationIntuitionistic Fuzzy Aggregation Operators
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Some geometric aggregation operators based on intuitionistic fuzzy sets
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Self-citationGeneralized Orthopair Fuzzy Sets
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Cited by
A Fermatean fuzzy MCDM method for selection and ranking Problems: Case studies
Aydoğan, H., & Ozkir, V. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2023.121628 · Cited by 59
Ganie, A. H., Gheith, N. E. M., Al-Qudah, Y., Ganie, A. H., Sharma, S. K., Aqlan, A. M., & Khalaf, M. M. (2024) · IEEE Access · doi:10.1109/access.2023.3348780 · Cited by 16
Metadata
- Authors
- Senapati, T., & Yager, R. R.
- Venue
- Engineering Applications of Artificial Intelligence
- Publisher
- Elsevier BV
- Published
- 2019-10
- Volume
- 85
- Pages
- 112-121
- ISSN
- 0952-1976 (ISSN-L)
- OpenAlex
- W2951141814
- Cited by
- 451
- References
- 44
- FWCI
- 28.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- Senapati, T., & Yager, R. R. (2019). Fermatean fuzzy weighted averaging/geometric operators and its application in multi-criteria decision-making methods. Engineering Applications of Artificial Intelligence. https://doi.org/10.1016/j.engappai.2019.05.012
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