Title :
Pseudo-optimal solutions of FLP problems by using the Cumulative Membership Function.
Author :
García, Juan Carlos Figueroa ; Bello, Cesar Amilcar Lopez
Author_Institution :
Lab. for Autom., Microelectron. & Comput. Intell. (LAMIC), Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
Abstract :
This paper shows an alternative method to find optimal solutions of a fuzzy linear programming (FLP) problems. The classical FLP problem is treated by using fuzzy restrictions in the form Ax les b where indicates a type-1 fuzzy set (T1 FS). The proposed approach uses joint A and b fuzzy parameters to solve a FLP model. Nonlinear membership functions are used to represent imprecisions in their parameters and the cumulative membership function (CMF) is used to solve the problem by means of an alpha-cut approach.
Keywords :
fuzzy set theory; linear programming; nonlinear programming; alpha-cut approach; cumulative membership function; fuzzy linear programming problems; fuzzy restrictions; nonlinear membership functions; pseudo-optimal solutions; type-1 fuzzy set; Automation; Computational intelligence; Computer industry; Fuzzy logic; Fuzzy sets; Information processing; Laboratories; Linear programming; Mathematical model; Microelectronics;
Conference_Titel :
Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American
Conference_Location :
Cincinnati, OH
Print_ISBN :
978-1-4244-4575-2
Electronic_ISBN :
978-1-4244-4577-6
DOI :
10.1109/NAFIPS.2009.5156464
