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Symmetry 2018, 10(9), 404; https://doi.org/10.3390/sym10090404

A New Method to Decision-Making with Fuzzy Competition Hypergraphs

1
Department of Mathematics, GC Women University, Sialkot 51310, Pakistan
2
Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
3
Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 23 July 2018 / Revised: 6 September 2018 / Accepted: 12 September 2018 / Published: 16 September 2018
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
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Abstract

Hypergraph theory is the most developed tool for demonstrating various practical problems in different domains of science and technology. Sometimes, information in a network model is uncertain and vague in nature. In this paper, our main focus is to apply the powerful methodology of fuzziness to generalize the notion of competition hypergraphs and fuzzy competition graphs. We introduce various new concepts, including fuzzy column hypergraphs, fuzzy row hypergraphs, fuzzy competition hypergraphs, fuzzy k-competition hypergraphs and fuzzy neighbourhood hypergraphs, strong hyperedges, kth strength of competition and symmetric properties. We design certain algorithms for constructing different types of fuzzy competition hypergraphs. We also present applications of fuzzy competition hypergraphs in decision support systems, including predator–prey relations in ecological niche, social networks and business marketing. View Full-Text
Keywords: fuzzy competition hypergraph; fuzzy k-competition hypergraph; fuzzy open neighbourhood; fuzzy closed neighbourhood; ecological niches fuzzy competition hypergraph; fuzzy k-competition hypergraph; fuzzy open neighbourhood; fuzzy closed neighbourhood; ecological niches
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Sarwar, M.; Akram, M.; Alshehri, N.O. A New Method to Decision-Making with Fuzzy Competition Hypergraphs. Symmetry 2018, 10, 404.

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