Soft representation of soft groups

On Fuzzy Soft Groups

On Fuzzy Soft Groups

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.

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...

On Neutrosophic Normal Soft Groups

The concepts of neutrosophic normal soft group, neutrosophic soft cosets, neutrosophic soft homomorphism are introduced and illustrated by suitable examples in this paper. Several related properties and structural characteristics are investigated. Some of their basic theorems are also established.