Affiliation:
1. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China
2. Department of Computer Science, Guangdong University Science and Technology, Dongguan, China
Abstract
Graphs and hypergraphs are popular models for data structured representation. For example, traffic data, weather data, and animal skeleton data are all described by graph structures. Interval-valued fuzzy sets change the membership function of general fuzzy sets from single value functions to interval-valued functions, and thus describe the fuzzy attributes of things in terms of fuzzy intervals, which is more in line with the characteristics of fuzzy objectives. This paper aims to define the bipolar interval-valued fuzzy hypergraph to reveal the inner relationship of fuzzy data, and give some characterizations of it. The characteristics of bipolar interval-valued intuitionistic fuzzy hypergraph and bipolar interval-valued Pythagorean fuzzy hypergraph are studied. In addition, we discuss the characteristics of the bipolar interval-valued fuzzy threshold graph. Finally, some instances are presented as the applications of bipolar interval-valued fuzzy hypergraphs.
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
Reference36 articles.
1. A study on hypergraph representations of complex fuzzy information;Luqman;Symmetry,2019
2. Bipolar fuzzy hypergraphs;Samanta;International Journal of Fuzzy Logic Systems,2012
3. Properties of bipolar fuzzy hypergraphs;Akram;Italian Journal of Pure and Applied Mathematics,2013
4. Hypergroups associated with hypergraphs;Nikkhah;Discrete Mathematics Algorithms and Applications,2021
5. On the strong chromatic number of a random 3-uniform hypergraph;Balobanov;Discrete Mathematics,2021
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献