| New Concepts of Picture Fuzzy Graphs with Application | |
| Zuo, Cen1; Pal, Anita2; Dey, Arindam3 | |
| 2019-05 | |
| 发表期刊 | MATHEMATICS
 |
| EISSN | 2227-7390 |
| 卷号 | 7期号:5 |
| 摘要 | The picture fuzzy set is an efficient mathematical model to deal with uncertain real life problems, in which a intuitionistic fuzzy set may fail to reveal satisfactory results. Picture fuzzy set is an extension of the classical fuzzy set and intuitionistic fuzzy set. It can work very efficiently in uncertain scenarios which involve more answers to these type: yes, no, abstain and refusal. In this paper, we introduce the idea of the picture fuzzy graph based on the picture fuzzy relation. Some types of picture fuzzy graph such as a regular picture fuzzy graph, strong picture fuzzy graph, complete picture fuzzy graph, and complement picture fuzzy graph are introduced and some properties are also described. The idea of an isomorphic picture fuzzy graph is also introduced in this paper. We also define six operations such as Cartesian product, composition, join, direct product, lexicographic and strong product on picture fuzzy graph. Finally, we describe the utility of the picture fuzzy graph and its application in a social network. |
| 关键词 | fuzzy graph picture fuzzy graph social network direct product lexicographic product strong product |
| DOI | 10.3390/math7050470 |
| 收录类别 | SCIE |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000472664400092 |
| 出版者 | MDPI |
| 原始文献类型 | Article |
| 出版地 | BASEL |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | https://ir.cqcet.edu.cn/handle/39TD4454/3628 |
| 专题 | 重庆电子科技职业大学 |
| 作者单位 | 1.Chongqing Coll Elect Engn, Artificial Intelligence & Big Data Coll, Chongqing 401331, Peoples R China; 2.Natl Inst Technol, Dept Math, Durgapur 713209, India; 3.Saroj Mohan Inst Technol, Dept Comp Sci & Engn, Hooghly 712512, India |
| 推荐引用方式 GB/T 7714 | Zuo, Cen,Pal, Anita,Dey, Arindam. New Concepts of Picture Fuzzy Graphs with Application[J]. MATHEMATICS,2019,7(5). |
| APA | Zuo, Cen,Pal, Anita,&Dey, Arindam.(2019).New Concepts of Picture Fuzzy Graphs with Application.MATHEMATICS,7(5). |
| MLA | Zuo, Cen,et al."New Concepts of Picture Fuzzy Graphs with Application".MATHEMATICS 7.5(2019). |
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| Zuo-2019-New Concept（1013KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 | |
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