Domination Numbers of Inverse Fuzzy Graphs with Application in Decision-Making Problems

R. Almallah (), R. A. Borzooei and Y. B. Jun
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R. Almallah: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
R. A. Borzooei: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Y. B. Jun: Department of Mathematics, Shahid Beheshti University, Tehran, Iran†Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 19-42

Abstract: Recently, in Borzooei et al. [Inverse fuzzy graphs with applications, to appear in New Mathematics and Natural Computation], we defined the concept of inverse fuzzy graph as a generalization of graph, which is able to answer some problems that graph theory and fuzzy graph theory cannot explain. Now, in this paper, we define the notions of dominating set, domination number and different kinds of dominating sets like strong, weak, total, independent and inverse dominating sets with their domination numbers in inverse fuzzy graphs. Then, we investigate the relations among different kinds of dominating numbers. Finally, we give an application in decision making for service buildings.

Keywords: Inverse fuzzy graph; dominating set; domination number (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S179300572250003X

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