Abstract
The main purpose of this paper is to introduce the notion of vague h-morphism on vague graphs and regular vague graphs. The action of vague h-morphism on vague strong regular graphs are studied. Some elegant results on weak and co weak isomorphism are derived. Also, mu-complement of highly irregular vague graphs are defined.
Highlights
Gau and Buehrer (1993) proposed the concept of vague set in 1993, by replacing the value of an element in a set with a subinterval of [0, 1]
The initial definition given by Kauffman (1973) of a fuzzy graph was based the fuzzy relation proposed by Zadeh
We introduce the notion of vague h-morphism on vague graphs and study the action of vague h-morphism on vague strong regular graphs
Summary
Gau and Buehrer (1993) proposed the concept of vague set in 1993, by replacing the value of an element in a set with a subinterval of [0, 1]. It can be seen that, the shaded part formed by the boundary in a given Vague Set naturally represents the possible existence of data. Definition 3 The vague graph G is said to be regular if vj,vi =vj tB(vivj) = constant and vj,vi =vj fB(vivj) = constant, for all vi ∈ V. 2. An isomorphism h from G1 to G2 is a bijective mapping h : V1 → V2 which satisfies the following conditions:. 3. A weak isomorphism h from G1 to G2 is a bijective mapping h : V1 → V2 which satisfies the following conditions:.
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