Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2020 -> Volume 12, Issue 1
On m-Polar Interval-valued Fuzzy Graph and its Application
Oleh : Sanchari Bera & Madhumangal Pal, Fuzzy Information and Engineering
Dibuat : 2021-08-27, dengan 0 file
Keyword : m-polar fuzzy graph, interval-valued fuzzy graph, m-polar interval valued fuzzy graph, complement of m-polar interval valued fuzzy graph, isomorphic m-polar interval valued fuzzy graph
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2020.1785993
Sumber pengambilan dokumen : Web
In this paper, the concept of the m-polar fuzzy graph (m-PFG) and interval-valued fuzzy graph (IVFG) is integrated and introduced an unprecedented kind of fuzzy graph designated as m-polar interval-valued fuzzy graph (m-PIVFG). Complement of the m-PIVFG is defined and the failure of this definition in some cases are highlighted. Various examples are cited and then redefined the notation of complement such that it applies to all m-PIVFGs. The other algebraic properties such as isomorphism, weak isomorphism, co-weak isomorphism of the m-PIVFG are investigated. Moreover, some basic results on the isomorphic property of m-PIVFG are proved. Finally, an application of m-PIVFG is explored.
Abbreviations: The following abbreviations are employed in this study: FS: Fuzzy set; FG: Fuzzy graph; IVFS: Interval-valued fuzzy sets; IVFG: Interval-valued fuzzy graph; m-PFS: m-polar fuzzy sets; m-PFG: m-polar fuzzy graph; m-PIVFS: m-polar interval-valued fuzzy sets; m-PIVFG: m-polar interval-valued fuzzy graph.
In this paper, the concept of the m-polar fuzzy graph (m-PFG) and interval-valued fuzzy graph (IVFG) is integrated and introduced an unprecedented kind of fuzzy graph designated as m-polar interval-valued fuzzy graph (m-PIVFG). Complement of the m-PIVFG is defined and the failure of this definition in some cases are highlighted. Various examples are cited and then redefined the notation of complement such that it applies to all m-PIVFGs. The other algebraic properties such as isomorphism, weak isomorphism, co-weak isomorphism of the m-PIVFG are investigated. Moreover, some basic results on the isomorphic property of m-PIVFG are proved. Finally, an application of m-PIVFG is explored.
Abbreviations: The following abbreviations are employed in this study: FS: Fuzzy set; FG: Fuzzy graph; IVFS: Interval-valued fuzzy sets; IVFG: Interval-valued fuzzy graph; m-PFS: m-polar fuzzy sets; m-PFG: m-polar fuzzy graph; m-PIVFS: m-polar interval-valued fuzzy sets; m-PIVFG: m-polar interval-valued fuzzy graph.
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