Connections between interval valued fuzzy graphs and fuzzy groups with \((S,T)\)-norms. (English) Zbl 1203.05130
Summary: On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K. Atanassov [Fuzzy Sets Syst. 20, 87–96 (1986; Zbl 0631.03040)], the notion of interval valued intuitionistic fuzzy graphs with respect to \(t\)-norm \(T\) and \(s\)-norm \(S\) are given. Their characteristic properties are described. Also it is shown how to associate interval valued intuitionistic fuzzy sub(semi)groups with interval valued intuitionistic fuzzy graphs in a natural way.
MSC:
| 05C72 | Fractional graph theory, fuzzy graph theory |
| 03E72 | Theory of fuzzy sets, etc. |
| 54A40 | Fuzzy topology |
Keywords:
interval valued intuitionistic \((S,T)\)-fuzzy subsemigroup (subgroup); interval valued intuitionistic \((S,T)\)-fuzzy graphs; interval valued intuitionistic (auto)morphismCitations:
Zbl 0631.03040References:
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