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EUSFLAT
2009

A Generalized Numerical Solution for Fuzzy Relation Equations

9 years 9 months ago
A Generalized Numerical Solution for Fuzzy Relation Equations
In this paper, line search based on Sequential Quadratic Programming is implemented in order to find a solution to Fuzzy Relation Equations. Sequential Quadratic Programming is a gradient-based method that uses a quadratic estimation of the objective function in each iteration's neighborhood. Unlike analytical approaches, the method can handle equations with any combinations of t-norms and t-conorms and at any dimensions. It is assumed that the FRE problem has at least one solution. Keywords-- Fuzzy Relation Equation (FRE), Fuzzy Triangular Norms, Line Search, Numerical Solution, Sequential Quadratic Programming (SQP).
Iman Mohammadi Ardehali, Milad Avazbeigi
Added 17 Feb 2011
Updated 17 Feb 2011
Type Journal
Year 2009
Where EUSFLAT
Authors Iman Mohammadi Ardehali, Milad Avazbeigi
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