Antipodal Interval-Valued Fuzzy Graphs
Hossein Rashmanlou, Madhumangal Pal
TL;DR
This paper introduces the concept of antipodal interval-valued fuzzy graphs and explores their properties, including isomorphism, enhancing the modeling capabilities of fuzzy graph theory for applications in computer science.
Contribution
It presents new definitions and properties of antipodal and self median interval-valued fuzzy graphs, expanding the theoretical framework of fuzzy graph models.
Findings
Defined antipodal interval-valued fuzzy graphs
Analyzed isomorphism properties of these graphs
Introduced self median interval-valued fuzzy graphs
Abstract
Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy set. Interval-valued fuzzy models give more precision, flexibility and compatibility to the system as compared to the fuzzy models. In this paper, we introduce the concept of antipodal interval - valued fuzzy graph and self median interval-valued fuzzy graph of the given interval-valued fuzzy graph. We investigate isomorphism properties of antipodal interval - valued fuzzy graphs.
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Taxonomy
TopicsMulti-Criteria Decision Making · Data Management and Algorithms · Advanced Algebra and Logic