Please use this identifier to cite or link to this item: http://111.93.204.14:8080/xmlui/handle/123456789/1137
Title: Cliques and Clique Covers in Interval-Valued Fuzzy Graphs
Authors: Patra, Napur
Pramanik, Tarasankar
Pal, Madhumangal
Mondal, Sukumar
Keywords: Interval-valued fuzzy graph
Fuzzy cliques
Clique covers
Issue Date: 2021
Publisher: International Journal of Computational Intelligence Systems
Abstract: Finding cliques and clique covers in graphs are one of the most needful tasks. In this paper, interval-valued fuzzy cliques (IVFQs) and interval-valued fuzzy clique covers (IVFQCs) of an interval-valued fuzzy graph (IVFG) are introduced by introducing the fuzziness because, the crisp graphs has some limitations in real world due to uncertainty of vagueness. Here, the concept of cliques and clique covers are slightly modified so that IVFQ is complete. Also, a clique cover of a crisp graph always covers all the edges and vertices of the graph whereas, the IVFQCs obtained by fuzzify to the clique covers does not satisfy the property. Hence, the definition is modified and studied some theorems on it. To better understand the useability of this work a model application is stated in this paper.
URI: http://111.93.204.14:8080/xmlui/handle/123456789/1137
ISSN: 1875-6891
1875-6883
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