Generalized and Group-Generalized Parameter Based Fermatean Fuzzy Aggregation Operators with Application to Decision-Making
Journal Title: International Journal of Knowledge and Innovation Studies - Year 2023, Vol 1, Issue 1
Abstract
Fermatean fuzzy set (FRFS) is very helpful in representing vague information that occurs in real world circumstances. Their eminent characteristic of FRFS is that the degree of membership ℑℓ and degree of non-membership גγ satisfy the condition 0 ≤ ℑℓ3(x)+ℑℓ3(x) ≤ 1, so the space of vague information they can describe is broader. This study introduces the concept of generalized parameters into the FRFS framework and proposes a set of generalized Fermatean fuzzy average aggregation operators for the purpose of information aggregation. Subsequently, the operators are expanded to encompass a generalized parameter based on group consensus, which is derived from the perspectives of numerous experienced senior experts and observers. The present study offers a multi-criteria decision-making (MCDM) methodology, which is demonstrated using a numerical example to successfully showcase the suggested technique. In conclusion, a comparative study is undertaken to validate the efficacy of the suggested technique in relation to existing methodologies.
Authors and Affiliations
Ali Aslam Khan, Ling Wang
Keywords
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- EP ID EP732601
- DOI https://doi.org/10.56578/ijkis010102
- Views 62
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Generalized and Group-Generalized Parameter Based Fermatean Fuzzy Aggregation Operators with Application to Decision-Making
Fermatean fuzzy set (FRFS) is very helpful in representing vague information that occurs in real world circumstances. Their eminent characteristic of FRFS is that the degree of membership ℑℓ and degree of non-membership...