Modified rough bipolar soft sets

Article type: Research Article

Authors: Shabir, Muhammad^{; *} | Gul, Rizwan

Affiliations: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Correspondence: [*] Corresponding author. Rizwan Gul, Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan. E-mail: rgul@math.qau.edu.pk.

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.

Keywords: Rough set, soft set, bipolar soft set, bipolar soft P-rough set, modified rough bipolar soft set, MRBS-approximations

DOI: 10.3233/JIFS-200317

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4259-4283, 2020