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Open AccessArticle

A Study on Hypergraph Representations of Complex Fuzzy Information

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Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
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Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80219, Jeddah 21589, Saudi Arabia
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BORDA Research Unit and IME, University of Salamanca, 37007 Salamanca, Spain
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Author to whom correspondence should be addressed.
Symmetry 2019, 11(11), 1381; https://doi.org/10.3390/sym11111381
Received: 21 October 2019 / Revised: 1 November 2019 / Accepted: 5 November 2019 / Published: 7 November 2019
(This article belongs to the Special Issue Symmetry and Complexity 2019)
The paradigm shift prompted by Zadeh’s fuzzy sets in 1965 did not end with the fuzzy model and logic. Extensions in various lines have produced e.g., intuitionistic fuzzy sets in 1983, complex fuzzy sets in 2002, or hesitant fuzzy sets in 2010. The researcher can avail himself of graphs of various types in order to represent concepts like networks with imprecise information, whether it is fuzzy, intuitionistic, or has more general characteristics. When the relationships in the network are symmetrical, and each member can be linked with groups of members, the natural concept for a representation is a hypergraph. In this paper we develop novel generalized hypergraphs in a wide fuzzy context, namely, complex intuitionistic fuzzy hypergraphs, complex Pythagorean fuzzy hypergraphs, and complex q-rung orthopair fuzzy hypergraphs. Further, we consider the transversals and minimal transversals of complex q-rung orthopair fuzzy hypergraphs. We present some algorithms to construct the minimal transversals and certain related concepts. As an application, we describe a collaboration network model through a complex q-rung orthopair fuzzy hypergraph. We use it to find the author having the most outstanding collaboration skills using score and choice values. View Full-Text
Keywords: complex q-rung orthopair fuzzy set; complex q-rung orthopair fuzzy graphs; complex q-rung orthopair fuzzy hypergraphs; transversals complex q-rung orthopair fuzzy set; complex q-rung orthopair fuzzy graphs; complex q-rung orthopair fuzzy hypergraphs; transversals
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MDPI and ACS Style

Luqman, A.; Akram, M.; Al-Kenani, A.N.; Alcantud, J.C.R. A Study on Hypergraph Representations of Complex Fuzzy Information. Symmetry 2019, 11, 1381.

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