NAZEERA BEGAM - Research Scholar,_x۰۰۰D_ Department of Mathematics,_x۰۰۰D_ Rajah Serfoji Government College(Autonomous),_x۰۰۰D_ (Affiliated to Bharathidasan University),_x۰۰۰D_ Thanjavur-۶۱۳۰۰۵
B. Mohamed Harif Mohamed Harif - PG and Research Department of Mathematics, Rajah Serfoji Government College (Autonomous), Affiliated to Bharathidasan University, Thanjavur, India-۶۱۳۰۰۵.

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.

𝛼- product, spherical fuzzy graphs, regular spherical fuzzy graphs