Balanced picture fuzzy graph with application

被引：31

作者：

Amanathulla, Sk ^{[1
]}

Bera, Biswajit ^{[2
]}

Pal, Madhumangal ^{[3
]}

机构：

[1] Raghunathpur Coll, Dept Math, Raghunathpur 723121, Purulia, India

[2] Kabi Jagadram Roy Govt Gen Degree Coll, Dept Math, Mejia 722143, Bankura, India

[3] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India

来源：

ARTIFICIAL INTELLIGENCE REVIEW | 2021年 / 54卷 / 07期

关键词：

Picture fuzzy graph; Balanced picture fuzzy graph; Average picture fuzzy graph; Density of a picture fuzzy graph;

D O I：

10.1007/s10462-021-10020-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Picture fuzzy graphs are an extension of intuitionistic fuzzy graphs. Balanced picture fuzzy graph is a special type of picture fuzzy graph (PFG). In this study, the definition and important properties of PFG like, average PFG, balanced PFG, size, order, density of a PFG, isomorphism, the direct product of two PFG, etc have been studied. The necessary and sufficient conditions for balanced picture fuzzy graphs have also been studied in this article. Beside this, we proposed an algorithm to test whether a PFG is balanced or not. The proof of correctness and an illustration of the proposed algorithm is presented in this article. Lastly, an application of balanced PFG to business alliance is presented.

引用

页码：5255 / 5281

页数：27

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