Accurate Domination in Fuzzy Digraphs using Strong Arc

In this paper, we introduce the concept of accurate dominating set in fuzzy digraphs using strong arc and also an accurate domination number of a fuzzy digraph. In a fuzzy digraph, a subset D of V is an accurate fuzzy dominating set of a fuzzy digraph if every node σD(v) Є V-D is not dominated by atleast one node σD(u) Є D with same cardinality |D|. The accurate domination number of a fuzzy digraph is the minimum cardinality of an accurate dominating set which is denoted by γfa(GD).The upper domination number Γfa(GD) is the maximum cardinality of an accurate dominating set. We prove some results on accurate dominating set of a fuzzy digraph. Also we have modified folyd warshall’s Algorithm to fuzzy domination digraphs for finding an accurate dominating set.

Authors

Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-11-28
DOI
https://doi.org/10.52783/cana.v32.2535
Primary Topic
Polynomial and algebraic computation
Type
article
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article

Accurate Domination in Fuzzy Digraphs using Strong Arc

Saral Sureka
Communications on Applied Nonlinear Analysis
Polynomial and algebraic computation
article

Accurate Domination in Fuzzy Digraphs using Strong Arc

Saral Sureka
article en

Abstract

In this paper, we introduce the concept of accurate dominating set in fuzzy digraphs using strong arc and also an accurate domination number of a fuzzy digraph. In a fuzzy digraph, a subset D of V is an accurate fuzzy dominating set of a fuzzy digraph if every node σD(v) Є V-D is not dominated by atleast one node σD(u) Є D with same cardinality |D|. The accurate domination number of a fuzzy digraph is the minimum cardinality of an accurate dominating set which is denoted by γfa(GD).The upper domination number Γfa(GD) is the maximum cardinality of an accurate dominating set. We prove some results on accurate dominating set of a fuzzy digraph. Also we have modified folyd warshall’s Algorithm to fuzzy domination digraphs for finding an accurate dominating set.

Communications on Applied Nonlinear AnalysisVol. 32(3s)
Openalex Percentile: Top 69%
Polynomial and algebraic computation
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