Relationship Between Gamma Distribution and Gaussian Membership Function Through Variance

Abstract

Abstract From a practical applications on real live that what use Gaussian membership function as part for applying fuzzy logic. To discover and improve this application we need to compare this with another one on same parameters space on same application on some examples .To success this trail we need properties of Gaussian MF(as fuzzy logic) with Gamma Distribution as probability view on practical side ,that what simplify all the values of parameters a , β on Gamma distribution and parameters of MF, with values of X. So we applied some experiments to explore this relationship and the comparison, through suppose constant values for parameters with different values for variable and another experiments suppose constant values for variable with different values for parameters. In each experiment we calculate variance through tables and figures. We need to find this relationship and a comparison. That will be explored through numerical values for both these functions .