Modified rough bipolar soft sets

Author:

Shabir Muhammad1,Gul Rizwan1

Affiliation:

1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Abstract

Bipolar soft sets and rough sets are two different techniques to cope with uncertainty. A possible fusion of rough sets and bipolar soft sets is proposed by Karaaslan and Çağman. They introduced the notion of bipolar soft rough set. In this article, a new technique is being introduced to study roughness through bipolar soft sets. In this new technique of finding approximations of a set, flavour of both theories of bipolar soft set and rough set is retained. We call this new hybrid model modified rough bipolar soft set MRBS-set. Moreover, accuracy measure and roughness measure of modified rough bipolar soft sets are defined in MRBS-approximation space and its application in multi-criteria group decision making is presented.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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