International Journal of Computational Intelligence Systems

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Volume 14, Issue 1, 2021, Pages 1773 - 1783

Cliques and Clique Covers in Interval-Valued Fuzzy Graphs

Authors
Napur Patra1, Tarasankar Pramanik2, Madhumangal Pal3, *, Sukumar Mondal1
1Department of Mathematics, Raja N. L. Khan Women's College, Midnapore 721102, India
2Department of Mathematics, Khanpur Gangche High School, Midnapore 721201, India
3Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
*Corresponding author. Email: mmpalvu@gmail.com
Corresponding Author
Madhumangal Pal
Received 4 May 2021, Accepted 8 June 2021, Available Online 19 June 2021.
DOI
10.2991/ijcis.d.210610.001How to use a DOI?
Keywords
Interval-valued fuzzy graph; fuzzy cliques; clique covers
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 every 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.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
1773 - 1783
Publication Date
2021/06/19
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.210610.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Napur Patra
AU  - Tarasankar Pramanik
AU  - Madhumangal Pal
AU  - Sukumar Mondal
PY  - 2021
DA  - 2021/06/19
TI  - Cliques and Clique Covers in Interval-Valued Fuzzy Graphs
JO  - International Journal of Computational Intelligence Systems
SP  - 1773
EP  - 1783
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210610.001
DO  - 10.2991/ijcis.d.210610.001
ID  - Patra2021
ER  -