Normal m-domination and inverse m-domination in Pythagorean fuzzy graphs with application in decision making

Article type: Research Article

Authors: Banitalebi, Sadegh^a | Ahn, Sun Shin^{b; *} | Jun, Young Bae^c | Borzooei, Rajab Ali^d

Affiliations: [a] Department of Artificial Intelligence and Cognitive Sciences, Imam Hossein University, Tehran, Iran | [b] Department of Mathematics Education, Dongguk University, Seoul, Korea | [c] Department of Mathematics Education, Gyeongsang National University, Jinju, Korea | [d] Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

Correspondence: [*] Corresponding author. Sun Shin Ahn, Department of Mathematics Education, Dongguk University, Seoul 04620, Korea. E-mail: sunshine@dongguk.edu.

Abstract: In this paper, the notions of normal m-dominating set, normal m-domination number, inverse normal domination set (number) and inverse normal m-domination number are introduced, and some the related results are investigated. Finally, a utilization relevant to decision-making based on influencing factors the company’s efficiency is presented.

Keywords: Pythagorean fuzzy graph, normal m-dominating set, normal m-domination number, inverse normal domination set (number), inverse normal m-domination number

DOI: 10.3233/JIFS-220319

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 4, pp. 5053-5062, 2022