Matrix Theory Approach to Fuzzy Hypersoft Set in Multi-Criteria Airline Selection

Abstract

When we talk about decision-making then it means we have to tackle the attributes and alternatives, and it becomes difficult when attributes are further subdivided. The hypersoft theory allows us to handle further bifurcated attributes. This paper is aim to provide the legal way to deal with multi-criteria decision-making (MCDM) problems in the sense of further subdividing attributes by applying the concept of fuzzy hypersoft matrices (FHSM’s). Since matrices provide us with a fast and reliable way to solve problems. In this paper, we have proposed the concept of FHSM with their operators, theorems, propositions, and decision-making (DM) algorithms. The proposed algorithms have been supported with real-life application of airline selection while you have to take any flight. The concept of further bifurcation gives more accurate and refined results than the existing techniques, along with the implication of FHSM. In the future, the proposed concept can be implemented in other hybrids of hypersoft set theory with DM algorithms. The challenges faced in implication can be dealt with machine learning algorithms for fast and more accurate results.