some properties of α−product on spherical fuzzy graphs

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 alpha; minus;product on spherical fuzzy graphs are studied. also, the regularity properties of alpha; minus;product of two spherical fuzzy graphs are discussed. theorems related these concepts are stated and proved.