Generalization of Yang et al.'s method for fuzzy programming with piecewise linear membership functions

Chang Chun Lin; An-Pin Chen

doi:10.1016/S0165-0114(02)00100-8

Generalization of Yang et al.'s method for fuzzy programming with piecewise linear membership functions

Chang Chun Lin^*, An-Pin Chen

^*Corresponding author for this work

Institute of Information Management

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Li and Yu (Fuzzy Sets and Systems 101 (1999) 109) argued that the model of Yang et al. for fuzzy programming (Fuzzy Sets and Systems 41 (1991) 39) is correct only for a specific type of piecewise linear membership function and proposed their model for other type of membership functions. This study generalizes the model of Yang et al. A numerical example indicates that the model of Li and Yu is inapplicable to a fuzzy programming problem that involves more than one membership function, whereas the proposed model gives the optimal solution.

Original language	English
Pages (from-to)	347-352
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	132
Issue number	3
DOIs	https://doi.org/10.1016/S0165-0114(02)00100-8
State	Published - 16 Dec 2002

Keywords

Fuzzy programming
Piecewise linear membership functions
Quasi-concave membership functions

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10.1016/S0165-0114(02)00100-8

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abstract = "Li and Yu (Fuzzy Sets and Systems 101 (1999) 109) argued that the model of Yang et al. for fuzzy programming (Fuzzy Sets and Systems 41 (1991) 39) is correct only for a specific type of piecewise linear membership function and proposed their model for other type of membership functions. This study generalizes the model of Yang et al. A numerical example indicates that the model of Li and Yu is inapplicable to a fuzzy programming problem that involves more than one membership function, whereas the proposed model gives the optimal solution.",

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AB - Li and Yu (Fuzzy Sets and Systems 101 (1999) 109) argued that the model of Yang et al. for fuzzy programming (Fuzzy Sets and Systems 41 (1991) 39) is correct only for a specific type of piecewise linear membership function and proposed their model for other type of membership functions. This study generalizes the model of Yang et al. A numerical example indicates that the model of Li and Yu is inapplicable to a fuzzy programming problem that involves more than one membership function, whereas the proposed model gives the optimal solution.

KW - Fuzzy programming

KW - Piecewise linear membership functions

KW - Quasi-concave membership functions

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Generalization of Yang et al.'s method for fuzzy programming with piecewise linear membership functions

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Keywords

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