On fuzzy bipolar soft sets, their algebraic structures and applications

Authors:
Munazza Naz;Muhammad Shabir
Affiliations:
Department of Mathematical Sciences, Fatima Jinnah Women University, The Mall, Rawalpindi, Pakistan;Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

We have defined fuzzy bipolar soft sets and basic operations of union, intersection and complementation for fuzzy bipolar soft sets. The algebraic properties of fuzzy bipolar soft sets are discussed. The concept of bipolar fuzzy soft set is also given and the equivalence of both structures is established. An application of fuzzy bipolar soft sets in decision making problems is presented with the help of an example.