Algorithms Fuzzy-Linear Boolean Programming

Yu. A. Zack, Consultant, e-mail: yuriy_zack@hotmail.com, Aachen, Deutschland

Considered setting deterministic equivalents and methods for solving Boolean Fuzzy-linear programming in an environment where the parameters of the objective function and constraints, as well as the permissible limit values of the constraint vector problem — fuzzy sets with given trapezoidal membership functions and the triangular form. Solution to the problem is sought in the form of a vector of Boolean variables. Methods for comparing and ranking fuzzy sets, as well as original algorithms for solving linear programming boolean branch and bound method.

Keywords: fuzzy sets, Fuzzy-Boolean linear programming, deterministic equivalent, comparison and ranking of fuzzy sets, branch and bound method

pp. 28–38