Linear Diophantine Fuzzy Rough Sets on Paired Universes with Multi Stage Decision Analysis

Rough set (RS) and fuzzy (FS) theories were developed to account for ambiguity in the data processing. The most persuasive modernist abstraction of an FS is linear Diophantine (LD-FS). This paper introduces a resilient hybrid RS model (LDF-RS) on paired universes based relation (LDF-R). typical method (F-RS) bipolar FRS (BF-RS) two that are more appropriate customizable. By using LDF-level cut relation, notions lower approximation (L-A) upper (U-A) defined. While this going on, certain fundamental structural aspects LD-FAs thoroughly investigated, with some instances back them up. cutting-edge LDF-RS technique crucial from both theoretical practical perspective field medical assessment.