Hypergraphs in m-Polar Fuzzy Environment

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 (mF, for short) set is a useful notion in practice, which is used...

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Main Authors:	Muhammad Akram, Gulfam Shahzadi
Format:	Article
Language:	English
Published:	MDPI AG 2018-02-01
Series:	Mathematics
Subjects:	regular mF hypergraph totally regular mF hypergraph decision-making algorithm time complexity
Online Access:	http://www.mdpi.com/2227-7390/6/2/28

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spelling	doaj-e67054582a154afa8189d8e3320d1db52020-11-24T20:46:40ZengMDPI AGMathematics2227-73902018-02-01622810.3390/math6020028math6020028Hypergraphs in m-Polar Fuzzy EnvironmentMuhammad Akram0Gulfam Shahzadi1Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanFuzzy 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 (mF, 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 mF sets to hypergraphs, and present the notions of regular mF hypergraphs and totally regular mF hypergraphs. We describe the certain properties of regular mF hypergraphs and totally regular mF hypergraphs. We discuss the novel applications of mF hypergraphs in decision-making problems. We also develop efficient algorithms to solve decision-making problems.http://www.mdpi.com/2227-7390/6/2/28regular mF hypergraphtotally regular mF hypergraphdecision-makingalgorithmtime complexity
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Akram Gulfam Shahzadi
spellingShingle	Muhammad Akram Gulfam Shahzadi Hypergraphs in m-Polar Fuzzy Environment Mathematics regular mF hypergraph totally regular mF hypergraph decision-making algorithm time complexity
author_facet	Muhammad Akram Gulfam Shahzadi
author_sort	Muhammad Akram
title	Hypergraphs in m-Polar Fuzzy Environment
title_short	Hypergraphs in m-Polar Fuzzy Environment
title_full	Hypergraphs in m-Polar Fuzzy Environment
title_fullStr	Hypergraphs in m-Polar Fuzzy Environment
title_full_unstemmed	Hypergraphs in m-Polar Fuzzy Environment
title_sort	hypergraphs in m-polar fuzzy environment
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2018-02-01
description	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 (mF, 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 mF sets to hypergraphs, and present the notions of regular mF hypergraphs and totally regular mF hypergraphs. We describe the certain properties of regular mF hypergraphs and totally regular mF hypergraphs. We discuss the novel applications of mF hypergraphs in decision-making problems. We also develop efficient algorithms to solve decision-making problems.
topic	regular mF hypergraph totally regular mF hypergraph decision-making algorithm time complexity
url	http://www.mdpi.com/2227-7390/6/2/28
work_keys_str_mv	AT muhammadakram hypergraphsinmpolarfuzzyenvironment AT gulfamshahzadi hypergraphsinmpolarfuzzyenvironment
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Hypergraphs in m-Polar Fuzzy Environment

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