Certain Types of Fuzzy Soft Graphs

Anas Al-Masarwah and Majdoleen Abu Qamar ()
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Anas Al-Masarwah: Department of Mathematics, Yarmouk University, Irbid, Jordan
Majdoleen Abu Qamar: Department of Mathematics, Yarmouk University, Irbid, Jordan

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 02, 145-156

Abstract: In this paper, we introduce the concepts of uniform vertex fuzzy soft graphs, uniform edge fuzzy soft graphs, degree of a vertex, total degree of a vertex and complement fuzzy soft graphs with some examples. Also, we study regular and totally regular fuzzy soft graphs, and the conditions under which the complement of regular fuzzy soft graph becomes regular as well as totally regular are discussed. Also, we obtain some results related to regular, totally regular and complete fuzzy soft graphs.

Keywords: Fuzzy soft graph; uniform vertex fuzzy soft graph; uniform edge fuzzy soft graph; degree of a vertex; total degree of a vertex; complement fuzzy soft graph; regular fuzzy soft graph; totally regular fuzzy soft graph (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S1793005718500102

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