Hypergraphs in m -Polar Fuzzy Environment

Muhammad Akram and Gulfam Shahzadi
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Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Gulfam Shahzadi: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan

Mathematics, 2018, vol. 6, issue 2, 1-18

Abstract: Fuzzy graph theory is a conceptual framework to study and analyze the units that are intensely or frequently connected in a network. It is used to study the mathematical structures of pairwise relations among objects. An m -polar fuzzy ( m F, for short) set is a useful notion in practice, which is used by researchers or modelings on real world problems that sometimes involve multi-agents, multi-attributes, multi-objects, multi-indexes and multi-polar information. In this paper, we apply the concept of m F sets to hypergraphs, and present the notions of regular m F hypergraphs and totally regular m F hypergraphs. We describe the certain properties of regular m F hypergraphs and totally regular m F hypergraphs. We discuss the novel applications of m F hypergraphs in decision-making problems. We also develop efficient algorithms to solve decision-making problems.

Keywords: regular m F hypergraph; totally regular m F hypergraph; decision-making; algorithm; time complexity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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