- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:65 Issue:1
- BIPOLAR SOFT ROUGH RELATIONS
BIPOLAR SOFT ROUGH RELATIONS
Authors : Faruk KARAASLAN
Pages : 105-126
Doi:10.1501/Commua1_0000000747
View : 13 | Download : 9
Publication Date : 2016-02-01
Article Type : Research Paper
Abstract :In this study, Cartesian products of bipolar soft P-lower and Pupper approximations of two bipolar soft rough sets are defined and based on the these cartesian products, concepts of bipolar soft rough P-upper and P-lower relations are introduced, and some properties existing in the classical relations are obtained for bipolar soft rough relations. Also, some new concepts such as equivalence bipolar soft rough relation, inverse bipolar soft rough relation, bipolar equivalence class of an element in universal set and partition of bipolar soft rough set under equivalence bipolar soft rough relation are defined and supported by examples.Keywords : Rough set, soft set, bipolar soft set, bipolar soft rough set, cartesianproduct, relation