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Mathematics 2017, 5(1), 17; doi:10.3390/math5010017

Certain Concepts of Bipolar Fuzzy Directed Hypergraphs

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
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Academic Editor: Lokenath Debnath
Received: 15 December 2016 / Revised: 17 February 2017 / Accepted: 22 February 2017 / Published: 4 March 2017
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Abstract

A hypergraph is the most developed tool for modeling various practical problems in different fields, including computer sciences, biological sciences, social networks and psychology. Sometimes, given data in a network model are based on bipolar information rather than one sided. To deal with such types of problems, we use mathematical models that are based on bipolar fuzzy (BF) sets. In this research paper, we introduce the concept of BF directed hypergraphs. We describe certain operations on BF directed hypergraphs, including addition, multiplication, vertex-wise multiplication and structural subtraction. We introduce the concept of B = ( m + , m ) -tempered BF directed hypergraphs and investigate some of their properties. We also present an algorithm to compute the minimum arc length of a BF directed hyperpath. View Full-Text
Keywords: bipolar fuzzy (BF) directed hypergraphs; B-tempered BF directed hypergraphs; BF shortest hyperpath bipolar fuzzy (BF) directed hypergraphs; B-tempered BF directed hypergraphs; BF shortest hyperpath
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Akram, M.; Luqman, A. Certain Concepts of Bipolar Fuzzy Directed Hypergraphs. Mathematics 2017, 5, 17.

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