Hesitant Fuzzy Graphs and Their Products

IF 1.3 Q2 MATHEMATICS, APPLIED

Fuzzy Information and Engineering Pub Date : 2020-04-02 DOI:10.1080/16168658.2020.1817658

M. Javaid, Agha Kashif, T. Rashid

引用次数: 7

Abstract

In this article, the notion of hesitant fuzzy graph is introduced. It an extended structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with the system that is designed using fuzzy graphs. Several operations on hesitant fuzzy graphs are defined, namely Cartesian product, composition, tensor product and normal product. Furthermore, the relationship between the degree of vertices of the hesitant fuzzy graphs and the hesitant fuzzy graph obtained by their different products is developed. These operations are highly used in computer science, geometry, algebra, operations research, etc.

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犹豫模糊图及其产品

本文引入了犹豫模糊图的概念。它是模糊图的一种扩展结构，与使用模糊图设计的系统相比，具有更高的精度、灵活性和兼容性。定义了犹豫模糊图的几种运算，即笛卡尔积、复合、张量积和法积。进一步建立了犹豫模糊图的顶点度与它们的不同乘积得到的犹豫模糊图之间的关系。这些运算在计算机科学、几何、代数、运筹学等领域都有广泛的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fuzzy Information and Engineering Mathematics-Logic

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

40 weeks

期刊介绍： Fuzzy Information and Engineering—An International Journal wants to provide a unified communication platform for researchers in a wide area of topics from pure and applied mathematics, computer science, engineering, and other related fields. While also accepting fundamental work, the journal focuses on applications. Research papers, short communications, and reviews are welcome. Technical topics within the scope include: (1) Fuzzy Information a. Fuzzy information theory and information systems b. Fuzzy clustering and classification c. Fuzzy information processing d. Hardware and software co-design e. Fuzzy computer f. Fuzzy database and data mining g. Fuzzy image processing and pattern recognition h. Fuzzy information granulation i. Knowledge acquisition and representation in fuzzy information (2) Fuzzy Sets and Systems a. Fuzzy sets b. Fuzzy analysis c. Fuzzy topology and fuzzy mapping d. Fuzzy equation e. Fuzzy programming and optimal f. Fuzzy probability and statistic g. Fuzzy logic and algebra h. General systems i. Fuzzy socioeconomic system j. Fuzzy decision support system k. Fuzzy expert system (3) Soft Computing a. Soft computing theory and foundation b. Nerve cell algorithms c. Genetic algorithms d. Fuzzy approximation algorithms e. Computing with words and Quantum computation (4) Fuzzy Engineering a. Fuzzy control b. Fuzzy system engineering c. Fuzzy knowledge engineering d. Fuzzy management engineering e. Fuzzy design f. Fuzzy industrial engineering g. Fuzzy system modeling (5) Fuzzy Operations Research [...] (6) Artificial Intelligence [...] (7) Others [...]