Rough Semiring-Valued Fuzzy Sets with Application

Many of the new fuzzy structures with complete MV-algebras as value sets, such hesitant, intuitionistic, neutrosophic, or soft can be transformed into one type set values in special algebras, called AMV-algebras. The category AMV-algebras is isomorphic to pairs (R,R∗) commutative semirings and corresponding sets are (R,R∗)-fuzzy sets. We use this theory define relations, lower upper approximations by (R,R∗)-relations, rough we show that these notions universally applied any structure transformable As an example, also how general used determine a color segment particular color.