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

Related Articles

Evaluating the Logistics Performance Index of European Union Countries: An Integrated Multi-Criteria Decision-Making Approach Utilizing the Bonferroni Operator

The evaluation of the Logistics Performance Index (LPI), as computed by the World Bank, incorporates six equally weighted criteria to ascertain the overall performance scores of countries globally. This study aims to scr...

Evaluating the Knowledge Economies within the European Union: A Global Knowledge Index Ranking via Entropy and CRADIS Methodologies

In this study, a novel methodology is proposed for ranking the knowledge economies of European Union (EU) countries, leveraging their positioning within the global knowledge index (GKI). The GKI, encompassing seven pivot...

Application of Knowledge Engineering in Sports Protective Gear Design: A Study on Innovative Methods Based on Extension Theory

This study, rooted in extension theory and the principles of knowledge engineering, explores and formulates a novel method for generating sports protective gear designs. Given the critical role of sports protective gear...

Enhancement of the Defining Interrelationships Between Ranked Criteria II Method Using Interval Grey Numbers for Application in the Grey-Rough MCDM Model

Multi-Criteria Decision-Making (MCDM) represents a critical area of research, particularly in artificial intelligence, through the modeling of real-world decision-making scenarios. Numerous methods have been developed to...

Enhanced Prediction Accuracy in Complex Systems: An Approach Integrating Fuzzy K-Clustering and Fuzzy Neural Network

The quest for heightened precision in fuzzy system predictions has culminated in the development of an innovative model that integrates a Fuzzy K-Clustering (FKC) algorithm with a fuzzy neural network (FNN). In this appr...

Download PDF file
  • EP ID EP732601
  • DOI https://doi.org/10.56578/ijkis010102
  • Views 46
  • Downloads 0

How To Cite

Ali Aslam Khan, Ling Wang (2023). Generalized and Group-Generalized Parameter Based Fermatean Fuzzy Aggregation Operators with Application to Decision-Making. International Journal of Knowledge and Innovation Studies, 1(1), -. https://europub.co.uk/articles/-A-732601