Abstract
In comparison to conventional fuzzy sets, the idea of intervalvalued intuitionistic fuzzy sets provides a more accurate definition of uncertainty. Defuzzification is the aspect of fuzzy control that requires the most processing. It has numerous applications in fuzzy control. In this paper, the concepts strength, length, distance, eccentricity, radius, diameter, centred, selfcentered, path cover, and edge cover of an interval-valued intuitionistic fuzzy graph (IVIFG) are defined in this work. Further, we introduce the definition of a self-centered IVIFG and the necessary and sufficient conditions for an IVIFG to be self-centered are given. Moreover, we investigate some properties of self-centered IVIFG with an illustration and we have discussed applications in IVIFG.
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