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Level graphs of intuitionistic fuzzy graphs

Muhammad Akram
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제1호|pp. 55-70|DOI 10.30948/afmi.2018.16.1.55

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참고문헌

키워드

(αIntuitionistic fuzzy edge graphβ)-level graphα-level graph.lexicographic product of graphsStrong product of graphs

초록

We introduce the notion of intuitionistic fuzzy edge graph $\widehat{G}=(V, B)$, where $V$ is a crisp vertex set and $B$ is an intuitionistic fuzzy relation on $V$, and present some of its properties. Using $\alpha$-level graphs and $(\alpha, \beta)$-level graphs, we characterize intuitionistic fuzzy graph $G=(A, B)$, where $A$ is an intuitionistic fuzzy set on $V$ and $B$ is an intuitionistic fuzzy relation on $V$.

Abstract

We introduce the notion of intuitionistic fuzzy edge graph $\widehat{G}=(V, B)$, where $V$ is a crisp vertex set and $B$ is an intuitionistic fuzzy relation on $V$, and present some of its properties. Using $\alpha$-level graphs and $(\alpha, \beta)$-level graphs, we characterize intuitionistic fuzzy graph $G=(A, B)$, where $A$ is an intuitionistic fuzzy set on $V$ and $B$ is an intuitionistic fuzzy relation on $V$.

참고문헌 (22)

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