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http://dx.doi.org/10.14317/jami.2017.095

NEW CONCEPTS OF REGULAR INTERVAL-VALUED FUZZY GRAPHS  

TALEBI, A.A. (Department of Mathematics, University of Mazandaran)
RASHMANLOU, HOSSEIN (Sama technical and vocatinal training college, Islamic Azad University)
DAVVAZ, BIJAN (Department of Mathematics, Yazd University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.1_2, 2017 , pp. 95-111 More about this Journal
Abstract
Recently, interval-valued fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by interval values in [0.1] rather than the crisp values between 0 and 1. In this paper, we introduce the concepts of regular and totally regular interval-valued fuzzy graphs and discusses some properties of the ${\mu}$-complement of interval-valued fuzzy graph. Self ${\mu}$-complementary interval-valued fuzzy graphs and self-weak ${\mu}$-complementary interval-valued fuzzy graphs are defined and a necessary condition for an interval valued fuzzy graph to be self ${\mu}$-complementary is discussed. We define busy vertices and free vertices in interval valued fuzzy graph and study their image under an isomorphism.
Keywords
Busy vertices; free vertices; interval-valued fuzzy graph;
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Times Cited By KSCI : 1  (Citation Analysis)
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