Abstract
Objectives: To demonstrate an inventive showcase prominent as complementary nil equitable dominating set, complementary nil equitable domination value in fuzzy graphs (FGs), and pertinent innovations. Methods: Strong arc in FGs ideas are used to perceive complementary nil equitable domination value. Findings: Modern concepts of complementary nil equitable dominance in FGs will lead to a number of applications, including the creation of cell phone towers in remote places, traffic light signals, and Google Maps. Novelty: Employing the ideas of equitable and strong arc in FGs, the complementary nil equitable dominating set and complementary nil equitable domination value in FGs are obtained. Some points are observed in this concept and some theorem related to the complementary nil equitable dominant set, its numbers are proved. AMS Subject Classification: 05C72. Keywords: Fuzzy graph, Equitable dominating set, Equitable domination number, Complementary nil equitable dominating set, Complementary nil equitable domination number
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