Muhammad Irfan Ali

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Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first point out that several assertions (Proposition 2.3 (iv)–(vi), Proposition 2.4 and Proposition 2.6 (iii), (iv)) in a previous paper by Maji et al. [P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003)(More)
Recently new operations have been defined for soft sets. In this paper, we study some important properties associated with these new operations. A collection of all soft sets with respect to new operations give rise to four idempotent monoids. Then with the help of these monoids we can study semiring (hemiring) structures of soft sets. Some of these(More)
Theories of soft sets and rough sets are two different approaches to vagueness. A possible fusion of rough sets and soft sets is proposed by F.Feng et al. They introduce the concept of soft rough sets, where parametrized subsets of a universe set are basic building blocks for lower and upper approximations of a subset. In the present paper, a new approach(More)
Soft S-acts are defined over S-acts. Some properties of soft S-acts are discussed. Soft subact of a soft S-act over an S-act may not be a soft S-act over the S-act. $$\left( \alpha,\beta \right) $$ -fuzzy S-acts are defined and characterized by soft S-acts. Fuzzy subacts with thresholds of an S-act are defined and characterized by soft S-acts. Finally,(More)