Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making

In this article, a new hybrid model named linear Diophantine fuzzy rough set (LDFRS) is proposed to magnify the notion of (RS) and (LDFS). Concerning LDFRS, it more efficient discuss fuzziness roughness in terms approximation spaces (LDFA spaces); plays vital role information analysis, data computational intelligence. The concept (<p,p?>,<q,q?>)-indiscernibility relation (LDF relation) used for construction an LDFRS. Certain properties LDFA are explored related results developed. Moreover, decision-making technique developed modeling uncertainties (DM) problems practical application established medical diagnosis.