BIPOLAR SOFT ROUGH RELATIONS

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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 : 21 | Download : 12

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

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