Optimizing Multi-attributive Decision-making: A Novel Approach through Matrix Theory and Fuzzy Hypersoft Sets
DOI:
https://doi.org/10.31181/sems2120248rKeywords:
Fuzzy Hypersoft Matrix, Multi-Criteria Decision-Making, Hypersoft Soft SetsAbstract
Multi-criteria decision-making (MCDM) focuses on managing and prioritizing decisions that encompass multiple criteria. The use of fuzzy soft set frameworks is limited in addressing certain problems when multiple and subdivided attributes are involved. Consequently, there was a pressing demand for a novel methodology capable of overcoming these challenges. To this end, the concept of fuzzy hypersoft matrix (FHSM) is developed. This paper introduces various principles related to FHSM, including operations like union, intersection, subsets, equality, complements, empty sets, and universal sets. It provides numerous apt examples to validate the defined notions effectively. Additionally, the paper describes the application of FHSM in creating a system for recognizing objects from vague data across multiple observers.
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