Abstract
Cliques and Clique Covers in Interval-Valued Fuzzy Graphs
Highlights
In our real life situations, we see that some objects are related by some relations
We have modified the definition of interval-valued fuzzy cliques (IVFQs) and interval-valued fuzzy clique covers (IVFQCs) given by Nair and Cheng and found a new dimension of work
Fuzzy cliques are the most important mathematical model to describe and analyze the relationship networks where one has to deal with the inter-relationships among some objects, like—human, stars, countries, etc
Summary
In our real life situations, we see that some objects are related by some relations. For example, in a city, places are connected by trum ways. These type of problems can be handled by considering the objects as nodes (or, vertices) and trum ways are the links (or, edges) This one-to-one representation is called the graph. In many problems such as circuit design, transprotation, human brain analysis, artificial intelligence etc., it is an important task to find the set of maximum number of nodes (vertices) each of which are related to each other Motivating from this idea, IVFQs and IVFQCs of IVFGs are studied in this article. It is known that, if all the vertices of any subgraph of a graph forms a clique, the subgraph is complete This conceptual phenomena is not intact in fuzzy graph according to the definition of fuzzy cliques introduced by Nair and Cheng [30].
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