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

Authors:
Chang-Chun Lin;A.-P. Chen
Affiliations:
Department of Information Management, Kung-Shan University of Technology, Tainan 710, Taiwan, ROC;Institute of Information Management, National Chiao-Tung University, Hsinchu 300, Taiwan, ROC
Venue:
Fuzzy Sets and Systems
Year:
2002

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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.