New Applications of m-Polar Fuzzy Competition Graphs

Muhammad Akram and Musavarah Sarwar ()
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Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Musavarah Sarwar: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 02, 249-276

Abstract: An m-polar fuzzy model is a generalization of the fuzzy model. This model is useful for multi-polar information, multi-agent, multi-attribute and multi-object network models. In this research paper, we first introduce certain new concepts, including m-polar fuzzy digraphs, m-polar fuzzy-out neighborhood, m-polar fuzzy-in neighborhood, m-polar fuzzy competition graphs and m-polar fuzzy k-competition graphs. Moreover, we describe the construction of m-polar fuzzy competition graphs of certain products of m-polar fuzzy digraphs from their respective m-polar fuzzy competition graphs. We present some applications of m-polar fuzzy competition graphs in food webs. Finally, we present certain algorithms for computing strength of competition between species.

Keywords: m-Polar fuzzy competition graph; m-polar fuzzy k-competition graph; algorithms (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S1793005718500163

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