Cut Systems with Relational Morphisms for Semiring-Valued Fuzzy Structures

Many of the new MV-valued fuzzy structures, including intuitionistic, neutrosophic, or soft sets, can be transformed into so-called almost or, equivalently, sets with values in dual pair semirings (in symbols, (R,R*)-fuzzy sets). This transformation allows any construction to retransformed an analogous for these structures. In that way, approximation theories rough theories, F-transform have already been created and then this paper, we continue trend define, on one hand, theory extensional defined similarity relations power functors related and, at same time, cuts relational morphisms Illustratively, reverse transformations some concepts structures are presented.