Bipolar soft rough relations

Rough Sets, Rough Relations and Rough Functions

Rough Bipolar Neutrosophic Set

Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bip...

Rough Relations and Logics

In this chapter we discuss properties and applications of rough relations. We also investigate two types of logics in which one can express and prove properties of rough relations.

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...

Generalized Rough Sets and Relations

In this paper, we introduce the notions of generalized upper (lower) approximations, generalized upper (lower) bounded operations and various operations. We investigate their properties. Mathematics Subject Classification: 03B52, 03B70, 03G25