Abstract
In 1994, Zhang (Proceedings of FUZZ-IEEE, 1998) [195], (Proceedings of IEEE conference, 1994) [71] introduced the concept of bipolar fuzzy sets as a generalization of the notion of Zadeh’s fuzzy sets. A bipolar fuzzy subset of a set is a pair of functions one from the set into the interval [0, 1] and the other into the interval \([-1,0].\) In a bipolar fuzzy set, the membership degree 0 of an element can be interpreted that the element is irrelevant to the corresponding property, the membership degree in (0, 1] of an element indicates the intensity that the element satisfies the property, and the membership degree in \([-1,0)\) of an element indicates the element does not satisfy the property. Fuzzy and possibilistic formalisms for bipolar information have been proposed in Dubios et al. Inf Pro Man Unc IPMU’04, 2002, [71] because bipolarity exists when dealing with spatial information in image processing or in spatial reasoning applications.
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Mathew, S., Mordeson, J.N., Malik, D.S. (2018). Bipolar Fuzzy Graphs. In: Fuzzy Graph Theory. Studies in Fuzziness and Soft Computing, vol 363. Springer, Cham. https://doi.org/10.1007/978-3-319-71407-3_8
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DOI: https://doi.org/10.1007/978-3-319-71407-3_8
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