...ol and fuzzy control based on FRE 108 4 1.19 A FRE in dynamic fuzzy systems 113 1.20 Solving FRE with a linear objective function 117... ... a characterization of t-norms for fuzzy sets 146 1.26 Solvability criteria for systems of FRE 156 1.27 Infinite FRE to a complete browerian lattice... ... These functions are useful for performing various kinds of simplifications of systems that preserve desirable properties in sets such as ordering ... ...olutions [11, 34]. Since the solution set can be non-convex, traditional linear programming methods, such as the simplex and interior-point algorith... ...roblem l [58]. Problem (9) can be transformed into the following 0-1 integer- programming problem minimize ∑ = ∈ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎪ ⎭ ⎪ ⎬ ⎫ ⎪ ⎩... ... let f(x) be the user’s criterion function, they solve the following non linear programming model with fuzzy relation constrains min f(x) s.t x... ... 1 - [ [ H ]] ( 5 ) if H is any well-formed formula of the set theoretic languages we just are constituting. Quite standard, too, is the unde... ...lie Sanchez [84] has studied truth qualification and fuzzy relations in natural languages and its applications to medical diagnosis. A biomedical ap...