Fuzzy domination in fuzzy graphs
Let G = (V, μ, σ) be a fuzzy graph on a finite set V. A fuzzy subset μ′ of μ is called a fuzzy dominating set of G if, μ ′ ( v ) + ∑ x ∈ V ( σ ( x , v ) ∧ μ ′ ( x ) ) ≥ μ ( v ) for every v ∈ V . Fuzzy domination number γfz is defined accordingly. In this paper we initiate a study of this parameter....
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| Veröffentlicht in: | Journal of intelligent & fuzzy systems 2023-01, Vol.44 (2), p.3071-3077 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let G = (V, μ, σ) be a fuzzy graph on a finite set V. A fuzzy subset μ′ of μ is called a fuzzy dominating set of G if, μ ′ ( v ) + ∑ x ∈ V ( σ ( x , v ) ∧ μ ′ ( x ) ) ≥ μ ( v ) for every v ∈ V . Fuzzy domination number γfz is defined accordingly. In this paper we initiate a study of this parameter. Some properties of fuzzy dominating sets are studied and fuzzy domination number γfz is determined for some graphs. |
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| ISSN: | 1064-1246 1875-8967 |
| DOI: | 10.3233/JIFS-220987 |