Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies

Naveed Yaqoob, Muhammad Gulistan, Seifedine Kadry and Hafiz Abdul Wahab
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Naveed Yaqoob: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi 11932, Saudi Arabia
Muhammad Gulistan: Department of Mathematics and Statistics, Hazara University, Mansehra 21130, Pakistan
Seifedine Kadry: Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon
Hafiz Abdul Wahab: Department of Mathematics and Statistics, Hazara University, Mansehra 21130, Pakistan

Mathematics, 2019, vol. 7, issue 1, 1-18

Abstract: In recent years, a mathematical approach of blending different aspects is on the way, which as a result gives a more generalized approach. Following the above mathematical approach, we combine two very powerful techniques, namely complex intuitionistic fuzzy sets and graph theory, and introduce the notion of complex intuitionistic fuzzy graphs. Then, we introduce certain notions including union, join and composition of complex intuitionistic fuzzy graphs, through which one can easily manipulate the complex intuitionistic fuzzy graphs in decision making problems. We elucidate these operations with some examples. We also describe the homomorphisms of complex intuitionistic fuzzy graphs. Finally, we provide an application in cellular network provider companies for the testing of our approach.

Keywords: complex intuitionistic fuzzy sets; intuitionistic fuzzy graphs; complex intuitionistic fuzzy graphs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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