Interval-valued fuzzy graphs
Muhammad Akram, Wieslaw A. Dudek
TL;DR
This paper introduces new operations and properties for interval-valued fuzzy graphs, including Cartesian product, composition, union, join, and concepts of completeness and complementarity.
Contribution
It defines and explores the properties of interval-valued fuzzy complete graphs and their self-complementary variants, expanding the theoretical framework of fuzzy graph theory.
Findings
Defined Cartesian product, composition, union, and join for interval-valued fuzzy graphs
Introduced the concept of interval-valued fuzzy complete graphs
Analyzed properties of self-complementary and self-weakly complementary fuzzy complete graphs
Abstract
We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self complementary and self weak complementary interval-valued fuzzy complete graphs.
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