Medical diagnosis based on lattice ordered q-rung linear diophantine fuzzy hypersoft matrices

Article type: Research Article

Authors: Annamalai, Surya | Jayakumar, Vimala^{; *}

Affiliations: Department of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India

Correspondence: [*] Corresponding author. Vimala Jayakumar, Department of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India. E-mail: [email protected].

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.

Keywords: q-Rung linear diophantine fuzzy set (q-RLDFS), hypersoft set(HSS), lattice, medical diagnosis

DOI: 10.3233/JIFS-219414

Journal: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-15, 2024