Degree of a Vertex in Max-Product of Intuitionistic Fuzzy Graph

Graph theory has applications in many areas of computer science, including data mining, image segmentation, clustering and networking. Product on graphs has a wide range of application in networking system, automata theory, game theory and structural mechanics. In many cases, some aspects of a graph...

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Published inInternational journal of recent technology and engineering Vol. 8; no. 4; pp. 2902 - 2905
Main Authors Mohamed, S.Yahya, Ali, A.Mohamed
Format Journal Article
LanguageEnglish
Published 30.11.2019
Online AccessGet full text
ISSN2277-3878
2277-3878
DOI10.35940/ijrte.C6411.118419

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Abstract Graph theory has applications in many areas of computer science, including data mining, image segmentation, clustering and networking. Product on graphs has a wide range of application in networking system, automata theory, game theory and structural mechanics. In many cases, some aspects of a graph-theoretic problem may be uncertain. Intuitionistic fuzzy models provide more compatible to the system compared to the fuzzy models. An intuitionistic fuzzy graph can be derived from two given intuitionistic fuzzy graphs using max-product. In this paper, we studied the degree of vertex in intuitionistic fuzzy graph by the max-product of two given intuitionistic fuzzy graph. Also find the necessary and sufficient condition for max-product of two intuitionistic fuzzy graphs to be regular.
AbstractList Graph theory has applications in many areas of computer science, including data mining, image segmentation, clustering and networking. Product on graphs has a wide range of application in networking system, automata theory, game theory and structural mechanics. In many cases, some aspects of a graph-theoretic problem may be uncertain. Intuitionistic fuzzy models provide more compatible to the system compared to the fuzzy models. An intuitionistic fuzzy graph can be derived from two given intuitionistic fuzzy graphs using max-product. In this paper, we studied the degree of vertex in intuitionistic fuzzy graph by the max-product of two given intuitionistic fuzzy graph. Also find the necessary and sufficient condition for max-product of two intuitionistic fuzzy graphs to be regular.
Author Mohamed, S.Yahya
Ali, A.Mohamed
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CorporateAuthor Assistant Professor, PG and Research Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Trichy, Tamilnadu India
Assistant Professor, Department of Mathematics, G.T.N. Arts College (Autonomous), Dindigul
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Title Degree of a Vertex in Max-Product of Intuitionistic Fuzzy Graph
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