Interval-valued fuzzy graphs

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

doi:10.1007/978-3-319-71407-3_7

Interval-valued fuzzy graphs

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

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The results in this chapter are based mostly on the works in Akram (Inf Sci, 181:5548–5564, 2011) [5], Akram and Dudek (Comput Math Appl, 61(2):289–299, 2011) [14], Akram et al. (J Appl Math, 2013, 2013) [19], Akram et al. (Afr math, 2014) [23]. In 1975, Zadeh (Inf Sci, 8:199–249, 1975) [194] introduced the notion of interval-valued fuzzy sets as an extension of fuzzy sets (Zadeh, Inf Control, 8:338–353, 1965, [190]) in which the values of the memberships degrees are intervals in [0, 1] instead of elements in [0, 1]. Interval-valued fuzzy sets provide a more adequate description of uncertainty than traditional fuzzy sets in some cases. It can therefore be important to use interval-valued fuzzy sets in applications, e.g., in fuzzy control.

Original language	English (US)
Title of host publication	Studies in Fuzziness and Soft Computing
Publisher	Springer Verlag
Pages	231-269
Number of pages	39
Volume	363
DOIs	https://doi.org/10.1007/978-3-319-71407-3_7
Publication status	Published - Jan 1 2018

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	363
ISSN (Print)	1434-9922

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All Science Journal Classification (ASJC) codes

Computer Science (miscellaneous)
Computational Mathematics

Cite this

Mathew, S., Mordeson, J. N., & Malik, D. S. (2018). Interval-valued fuzzy graphs. In Studies in Fuzziness and Soft Computing (Vol. 363, pp. 231-269). (Studies in Fuzziness and Soft Computing; Vol. 363). Springer Verlag. https://doi.org/10.1007/978-3-319-71407-3_7

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Access to Document

10.1007/978-3-319-71407-3_7