Linear programming with fuzzy coefficients in constraints

Authors
Fang, SC Hu, CF Wang, HF Wu, SY
Citation
Sc. Fang et al., Linear programming with fuzzy coefficients in constraints, COMPUT MATH, 37(10), 1999, pp. 63-76
Citations number
14
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
37
Issue
10
Year of publication
1999
Pages
63 - 76
Database
ISI
SICI code
0898-1221(199905)37:10<63:LPWFCI>2.0.ZU;2-8
Abstract
This paper presents a new method for solving linear programming problems wi th fuzzy coefficients in constraints. It is shown that such problems can be reduced to a linear semi-infinite programming problem. The relations betwe en optimal solutions and extreme points of the linear semi-infinite program are established. A cutting plane algorithm is introduced with a convergenc e proof, and a numerical example is included to illustrate the solution pro cedure. (C) 1999 Elsevier Science Ltd. All rights reserved.