...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... ... (3) such that x o A = b, 0 ≤ x i ≤1. Compared to the regular linear programming problems [25], this linear optimization problem subject ... ...chosen is i if j ∀ i ∈ I, j ∈ J, (9) and consider the following 0-1 integer programming problem: minimize Z = ∑ = ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ m i ij j J j ... ... (1) Rule Based Systems, (2) Fuzzy relational systems and 198 (3) Fuzzy functional systems. Let ‘o’ denote the max-min composition operato...

...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... ... (3) such that x o A = b, 0 ≤ x i ≤1. Compared to the regular linear programming problems [25], this linear optimization problem subject ... ...chosen is i if j ∀ i ∈ I, j ∈ J, (9) and consider the following 0-1 integer programming problem: minimize Z = ∑ = ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ m i ij j J j ... ... (1) Rule Based Systems, (2) Fuzzy relational systems and 198 (3) Fuzzy functional systems. Let ‘o’ denote the max-min composition operato...

...gorithm (a model of machine learning based on genetic operators), evolutionary programming (a stochastic optimization strategy based on linkage betwe... ...eived by L. J. Fogel in 1960s), evolution strategy, classifier system, genetic programming. Pei Wang devised a Non-Axiomatic Reasoning System as an ... ...61: "propositions may take many values beyond simple truth and falsity, values functionally determined by the values of their components"; Lukasiewi... ...ion between fuzzy numbers and fuzzy functions convexity, Itinerant seminar on functional equations, approximation and convexity, Cluj-Napoca, 1987,... ... on the Neutrosophic Logic and Their Applications in Neural Networks, Computer Programming, and Quantum Physics, Institute of Physics, editors: Kenn... ...eason that majority of people hold it (e.g., Darwin’s evolution theory and the functional difference between left and right brain—both are controvers...

...human needs and desires as opposed to technologies which meet exclusively functional task specifications. OP#1 lives in a technological niche and in... ...actually use to make decisions. […] "This Article seeks to provide more functional models of judicial decision-making. Normally, formalists and an... ...o connection matrix form will become apparent later as it facilitates the programming, or “bookkeeping”, of more complex relationships in larger aug... ...ng the passengers comfort in the madras transport corporation using fuzzy programming, Progress of Mat., Banaras Hindu Univ., 32 (1998) 91-134. 2...