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).

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: Iman Mohammadi Ardehali, Milad Avazbeigi
• Keywords: EUSFLAT 2009, Fuzzy Logic, Fuzzy Relation Equation, Line Search, Sequential Quadratic Programming