Rough U-Exact Sequence of Rough 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...

Rough Exact Sequences of Modules

Rough Set Theory(RST) is a mathematical tool to deal with uncertain data. Combining RST to Algebra is a way to apply uncertainty in Algebra. Group, Ring & modules have been presented by some authors based on rough set theory. In this paper, we have introduced the notion of Rough Exact Sequences over an R-module, and some properties.

Rough Sets, Rough Relations and Rough Functions

The Homomorphisms and Operations of Rough Groups

Based on the light relation between a normal subgroup and a complete congruence relation of a group, we consider the homomorphism problem of rough groups and rough quotient groups and investigate their operational properties. Some new results are obtained.

Soft Rough Groups and Corresponding Decision Making

In this article, we apply soft rough sets (briefly, SR-sets) to the special algebraic structure-group and give the concepts of soft rough groups (briefly, normal subgroups) (briefly, SR-groups, SRN -subgroups), which is an extended definition of rough groups. Further, we use the terminologies of C-soft sets and CC-soft sets to research soft rough algebraic structures. Moreover, the roughness in...