Affiliation:
1. Department of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India
Abstract
The Hypersoft set (HSS) theory was created by extending the soft set (SS) theory. The q-Rung linear diophantine fuzzy set (q-RLDFS) is a major development in fuzzy set theory (FS). By fusing q-RLDFS with HSS, the concept of q-rung linear diophantine fuzzy hypersoft set (q-RLDFHSS) is presented in this study. This study also discusses the concepts of lattice ordered q-RLDFHSS (LOq-RLDFHSS) and LOq-RLDFHS Matrix (LOq-RLDFHSM) as well as some standard operations of LOq-RLDFHSM. A medical diagnosis methodology based on LOq-RLDFHSM is proposed to evaluate multi-sub-attributed medical diagnosis difficulties incredibly well along with a diagnosis problem based on patients with comorbidities. Further, between the proposed and current theories, comparison analysis and discussion have been given in this study.
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