In this paper, we observed that range-valued fuzzy graphs are more popular than fuzzy graphs following the level of participation of nodes and branches in the range [0, 1] other than at a point in fuzzy graphs. Colouring interval-valued fuzzy graphs has a few general applications. In this paper, another idea of using colouring for interval-valued fuzzy graphs is presented. Additionally, a few vital terms, such as power cut graphs, interval-valued fuzzy colour, and chromatic numbers of interval-valued fuzzy graphs, are depicted. Some important theorems are discussed. This procedure is utilized to colour the India political map, revealing the power of the relationship within the nation. Additionally, another sort of traffic signal system is analysed.
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S. Satyanarayana (2016) studied this question.
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