Numerical Solution of Fuzzy Relational Equations Based on Smooth Fuzzy Norms

نویسندگانArya Aghili Ashtiani - M. B. Menhaj
نشریهSoft Computing: Methodologies and Application
شماره صفحات545–557
شماره مجلد14
نوع مقالهOriginal Research
تاریخ انتشارApril 2009
رتبه نشریهISI
نوع نشریهچاپی
کشور محل چاپآلمان

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.

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