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Isomorphic Property and Some Operations of Picture Fuzzy Graphs
Advances
Volume 1, Issue 1, December 2020, Pages: 22-29
Received: Nov. 10, 2020; Accepted: Dec. 2, 2020; Published: Dec. 22, 2020
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Authors
Yashwant Das Vaishnaw, Department of Mathematics, Maharshi Vedvyas Government Post Graduate College, Bhakhara, Pandit, Ravishankar Shukla University, Raipur (Chhattisgarh), India
Kajal Kiran Gulhare, Department of Computer Science, Government Edpuganti Raghavendra Rao Post, Graduate Science College, Atal Bihari Vajpayee University, Bilaspur (Chhattisgarh), India
Dildar Tandon, Department of Mathematics, Doctor Jwala Prasad, Mishra Government Post Graduate Science College Mungeli, Atal Bihari Vajpayee University, Bilaspur (Chhattisgarh), India
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Abstract
In this paper picture fuzzy graph has shown more advantage in handling vagueness and uncertainty than fuzzy set. We have applied concept of picture fuzzy set to fuzzy set. Picture fuzzy graph is generalization of fuzzy graph. The concept of picture fuzzy graph has discussed here. In this paper complement and Ring sum operation of picture fuzzy graphs has discussed isomorphic property of picture fuzzy graphs. We have used picture Fuzzy graph play important role in representation of many uncertain decision making problem in daily life since Picture fuzzy set is an efficient mathematical model to deal with uncertain real life problems, e.g. number theory, coding theory, cryptography, computer science, operation research, also we are using certain concepts of bipolar fuzzy directed hypergraphs Finally we have proved the Ring sum of two picture fuzzy graphs is also a picture fuzzy graph.
Keywords
Fuzzy Graph, Isomorphism, Picture Fuzzy Graph, Complement of Fuzzy Graph
To cite this article
Yashwant Das Vaishnaw, Kajal Kiran Gulhare, Dildar Tandon, Isomorphic Property and Some Operations of Picture Fuzzy Graphs, Advances. Vol. 1, No. 1, 2020, pp. 22-29. doi: 10.11648/j.advances.20200101.14
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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