Some properties of α−product on spherical fuzzy graphs

Document Type : Research Paper

Authors

1 PG and Research Department of Mathematics, Rajah Serfoji Government College (Autonomous), Affiliated to Bharathidasan University, Thanjavur, India-613005.

2 Research Scholar,_x000D_ Department of Mathematics,_x000D_ Rajah Serfoji Government College(Autonomous),_x000D_ (Affiliated to Bharathidasan University),_x000D_ Thanjavur-613005

Abstract

In a network model involves incomplete and imperfect network states for which sophisticated analysis is needed. Spherical fuzzy sets could be more helpful for the analysis of network state more accurately. The following evaluation information may be provided by the decision maker: Yes, Abstain; No, Reject. To solve such problems, we can use a mathematical model based on spherical fuzzy sets. The mathematical models are something like a theory which should be able to explain observations of making useful predictions. In this paper, some properties of α−product on spherical fuzzy graphs are studied. Also, the regularity properties of α−product of two spherical fuzzy graphs are discussed. Theorems related these concepts are stated and proved.

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