Comments on “Fuzzy programming with nonlinear membership functions

Yang et al., in their paper “Fuzzy programming with nonlinear membership functions …”, published in Fuzzy Sets and Systems 41 (1991), declared that their model can solve a fuzzy program with an S-shaped membership function by adding only one 0–1 variable. This paper indicates that their declaration...

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Bibliographic Details
Published in:Fuzzy sets and systems 1999, Vol.101 (1), p.109-113
Main Authors: Li, Han-Lin, Yu, Chian-Son
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Fuzzy programming
Mathematical programming
Membership functions
Operational research and scientific management
Operational research. Management science
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Summary:Yang et al., in their paper “Fuzzy programming with nonlinear membership functions …”, published in Fuzzy Sets and Systems 41 (1991), declared that their model can solve a fuzzy program with an S-shaped membership function by adding only one 0–1 variable. This paper indicates that their declaration is correct only for a specific type of S-shape membership functions. We propose another model to treat the fuzzy programs which cannot be solved effectively by Yang et al.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(97)00053-5