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Article type: Research Article
Authors: Naz, Munazza | Shabir, Muhammad
Affiliations: Department of Mathematical Sciences, Fatima Jinnah Women University, The Mall, Rawalpindi, Pakistan | Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Note: [] Corresponding author. Munazza Naz, Department of Mathematical Sciences, Fatima Jinnah Women University, The Mall, Rawalpindi, Pakistan. E-mail: [email protected]
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.
Keywords: Bipolarity, bipolar fuzzy sets, soft sets, extended union, extended intersection, restricted union, restricted intersection
DOI: 10.3233/IFS-130844
Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 1645-1656, 2014
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