Fuzzy Systems

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Inverse, Split and Non Split Domination Number


Affiliations
1 M.A.M.School of Engineering, Trichy, Tamilnadu, 620105, India
2 Anna University of Technology, Trichy, Tamilnadu, 620024, India
     

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Let G:(,μ) be a fuzzy graph with D V is a dominating set of G and the dominating number (G). In this paper we define the inverse fuzzy dominating set D’ VV in G, we introduce a inverse fuzzy dominating number f-1(G) is a minimum cardinality of inverse fuzzy dominating set of G. we prove some results in inverse fuzzy domination.

Keywords

Fuzzy Graphs, Inverse Fuzzy Strong Domination, Inverse Fuzzy Domination Number, Split and Non-Split Domination in Fuzzy Graph.
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  • Inverse, Split and Non Split Domination Number

Abstract Views: 216  |  PDF Views: 3

Authors

N. Vinoth Kumar
M.A.M.School of Engineering, Trichy, Tamilnadu, 620105, India
G. Geetha Ramani
Anna University of Technology, Trichy, Tamilnadu, 620024, India

Abstract


Let G:(,μ) be a fuzzy graph with D V is a dominating set of G and the dominating number (G). In this paper we define the inverse fuzzy dominating set D’ VV in G, we introduce a inverse fuzzy dominating number f-1(G) is a minimum cardinality of inverse fuzzy dominating set of G. we prove some results in inverse fuzzy domination.

Keywords


Fuzzy Graphs, Inverse Fuzzy Strong Domination, Inverse Fuzzy Domination Number, Split and Non-Split Domination in Fuzzy Graph.