Numerical Solution of Fuzzy Relational Equations Based on Smooth Fuzzy Norms

چکیده مقاله

In this paper, we study and formulate a BP learning algorithm for fuzzy relational neural networks based on smooth fuzzy norms for functions approximation. To elaborate the model behavior more, we have used different fuzzy norms led to a new pair of fuzzy norms. An important practical case in fuzzy relational equations (FREs) is the identification problem which is studied in this work. In this work we employ a neuro-based approach to numerically solve the set of FREs and focus on generalized neurons that use smooth s-norms and t-norms as fuzzy compositional operators.

 

Cite this article

Aghili Ashtiani, A., Menhaj, M.B. Numerical solution of fuzzy relational equations based on smooth fuzzy norms. Soft Comput 14, 545–557 (2010). https://doi.org/10.1007/s00500-009-0425-1