Bipolar fuzzy graphs

Sunil Mathew, John N. Mordeson, Davender S. Malik

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

LanguageEnglish (US)
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Verlag
Pages271-306
Number of pages36
Volume363
DOIs
StatePublished - Jan 1 2018

Publication series

NameStudies in Fuzziness and Soft Computing
Volume363
ISSN (Print)1434-9922

Fingerprint

Fuzzy Graph
Fuzzy sets
Fuzzy Sets
Set theory
Spatial Reasoning
Fuzzy Subset
Interval
Spatial Information
Image Processing
Image processing

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Mathew, S., Mordeson, J. N., & Malik, D. S. (2018). Bipolar fuzzy graphs. In Studies in Fuzziness and Soft Computing (Vol. 363, pp. 271-306). (Studies in Fuzziness and Soft Computing; Vol. 363). Springer Verlag. https://doi.org/10.1007/978-3-319-71407-3_8

Bipolar fuzzy graphs. / Mathew, Sunil; Mordeson, John N.; Malik, Davender S.

Studies in Fuzziness and Soft Computing. Vol. 363 Springer Verlag, 2018. p. 271-306 (Studies in Fuzziness and Soft Computing; Vol. 363).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathew, S, Mordeson, JN & Malik, DS 2018, Bipolar fuzzy graphs. in Studies in Fuzziness and Soft Computing. vol. 363, Studies in Fuzziness and Soft Computing, vol. 363, Springer Verlag, pp. 271-306. https://doi.org/10.1007/978-3-319-71407-3_8
Mathew S, Mordeson JN, Malik DS. Bipolar fuzzy graphs. In Studies in Fuzziness and Soft Computing. Vol. 363. Springer Verlag. 2018. p. 271-306. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-319-71407-3_8
Mathew, Sunil ; Mordeson, John N. ; Malik, Davender S. / Bipolar fuzzy graphs. Studies in Fuzziness and Soft Computing. Vol. 363 Springer Verlag, 2018. pp. 271-306 (Studies in Fuzziness and Soft Computing).
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