On Fuzzy Soft Groups

On Fuzzy Soft Groups

On Fuzzy Soft Groups

Rough Fuzzy Groups and Rough Soft Groups

By means of Dubois and Prade’s idea, we introduce the concept of rough fuzzy normal subgroups and investigate some related properties. Combining rough sets and soft sets, rough soft normal subgroups with respect to a normal subgroup of groups in Pawlak approximation spaces are introduced. Moreover, we investigate the relationships between lower and upper rough soft normal subgroups with respect...

Fuzzy Parameterized Fuzzy Soft Normal Subgroups of Groups

In the present paper, we redefine the concept of FPFS-sets in algebra systems, which is a novel way that is different from the definition of FPFS-sets in hemirings by Liu [10]. Based on the definition, we put forth FPFS-groups, FPFSnormal subgroups and FP -equivalent fuzzy soft normal subgroups of groups. Further, some properties and characterizations are investigated. Finally, aggregate fuzzy ...

Study on Soft Groups

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, we further study the properties of soft sets and their duality. Moreover, we introduce the new concepts of soft subgroups and normal soft subgroups of a group. Some algebraic properties about soft subgroups and normal soft subgroups are investigated.