Fuzzy sets and relations

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

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The notion of a fuzzy graph was initially introduced by Kauffman (Introduction to the theory of fuzzy sets, Academic Press Inc., Orlando) in [91]. However, the development of fuzzy graph theory is due to the ground setting papers of Rosenfeld (Fuzzy sets and their applications, Academic Press, New York) [154] and Yeh and Bang (Fuzzy sets and their applications, Academic Press, New York) [186]. In Rosenfeld’s paper, basic structural and connectivity concepts were presented while Yeh and Bang introduced different connectivity parameters and discussed their application. Rosenfeld obtained the fuzzy analogs of several graph-theoretic concepts like bridges, paths, cycles, trees, and connectedness. Most of the theoretical development of fuzzy graph theory is based on Rosenfeld’s initial work.

Original languageEnglish (US)
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Verlag
Pages1-12
Number of pages12
Volume363
DOIs
StatePublished - Jan 1 2018

Publication series

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

Fingerprint

Fuzzy Graph
Fuzzy Relation
Fuzzy sets
Fuzzy Sets
Graph theory
Connectivity
Connectedness
Analogue
Cycle
Path
Graph in graph theory
Concepts

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Mathew, S., Mordeson, J. N., & Malik, D. S. (2018). Fuzzy sets and relations. In Studies in Fuzziness and Soft Computing (Vol. 363, pp. 1-12). (Studies in Fuzziness and Soft Computing; Vol. 363). Springer Verlag. https://doi.org/10.1007/978-3-319-71407-3_1

Fuzzy sets and relations. / Mathew, Sunil; Mordeson, John N.; Malik, Davender S.

Studies in Fuzziness and Soft Computing. Vol. 363 Springer Verlag, 2018. p. 1-12 (Studies in Fuzziness and Soft Computing; Vol. 363).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathew, S, Mordeson, JN & Malik, DS 2018, Fuzzy sets and relations. in Studies in Fuzziness and Soft Computing. vol. 363, Studies in Fuzziness and Soft Computing, vol. 363, Springer Verlag, pp. 1-12. https://doi.org/10.1007/978-3-319-71407-3_1
Mathew S, Mordeson JN, Malik DS. Fuzzy sets and relations. In Studies in Fuzziness and Soft Computing. Vol. 363. Springer Verlag. 2018. p. 1-12. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-319-71407-3_1
Mathew, Sunil ; Mordeson, John N. ; Malik, Davender S. / Fuzzy sets and relations. Studies in Fuzziness and Soft Computing. Vol. 363 Springer Verlag, 2018. pp. 1-12 (Studies in Fuzziness and Soft Computing).
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