Relationship Between Gamma Distribution and Gaussian Membership Function Through Variance

  • Bushra Hussien Aliwi College of Education for Pure Science - Department of Mathematics Babylon University-Iraq
  • Jinan Hamzah Farhood College of Education for Pure Science - Department of Mathematics Babylon University-Iraq
Keywords: Fuzzy Logic, Gaussian membership function, Gamma distribution

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 ï¡ , 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 .

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Published
2017-08-16
How to Cite
Aliwi, B. H., & Farhood, J. H. (2017). Relationship Between Gamma Distribution and Gaussian Membership Function Through Variance. Al-Qadisiyah Journal of Pure Science, 18(2), 69-96. Retrieved from https://journalsc.qu.edu.iq/index.php/JOPS/article/view/408
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Articles