TY - JOUR AU - Fakharzadeh, Alireza AU - Khosravi, Somayeh AU - Maleki, Hamidreza PY - 2012 TI - Cutting-plane Algorithm for Solving Linear Semi-infinite Programming in Fuzzy Case JO - Journal of Mathematics and Computer Science SP - 212 - 218 VL - 5 IS - 3 AB - This paper introduces a cutting-plane algorithm for solving semi-infinite linear programming problems in fuzzy case; the problem contains a crisp objective linear function and the infinite number of fuzzy linear constraints. In the first step; the designed algorithm solves a LP problem, which was created by the ranking function method based on a fuzzy sub-problem of the original one. In each iteration of the proposed algorithm, a cutting is created by adding a fuzzy constraint of the original problem to the fuzzy sub-problem. The convergence of the algorithm is proved and some numerical examples are given. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.05.03.09 DO - 10.22436/jmcs.05.03.09 ID - Fakharzadeh2012 ER - TY - JOUR TI - Decision making in a fuzzy environment AU - R. E. Bellman AU - L. A. Zadeh JO - Management Science PY - 1970 DA - 1970// VL - 17 ID - Bellman1970 ER - TY - JOUR TI - An accelerated centeral cutting plane AU - B. Betro JO - Math. Program PY - 2004 DA - 2004// VL - 101 ID - Betro2004 ER - TY - JOUR TI - Numerical treatment of Bayesian robustness problems AU - B. Betro JO - International Journal of Approximate Reasoning PY - 2009 DA - 2009// VL - 50 ID - Betro2009 ER - TY - BOOK TI - Linear Semi Infinite Programming AU - M. A. Goberna AU - M. A. Lopez PB - Alicant University PY - 1998 DA - 1998// CY - ID - Goberna1998 ER - TY - JOUR TI - Air pollution control with semi-infinite programming AU - A. Ismael AU - F. Vaz AU - C. Eugnio Ferreira JO - Applied Mathematical Modelling PY - 2009 DA - 2009// VL - 33 ID - Ismael2009 ER - TY - JOUR TI - Robot trajectory planning with semi-infinite programming AU - A. Ismael AU - F. Vaz AU - Edite M. G. P. Fernandes AU - M. Paula AU - S. F. Gomes JO - European Journal of Operational Research PY - 2004 DA - 2004// VL - 153 ID - Ismael2004 ER - TY - BOOK TI - Linear Optimization and Approximation AU - K. Glashoff AU - S. A. Gustafson PB - Springer-Verlag PY - 1983 DA - 1983// CY - Berlin ID - Glashoff1983 ER - TY - JOUR TI - Bivariate interval semi-infinite programming with an application to environmental decision-making analysis AU - He. Li AU - Huang AU - H. Guo AU - Lu. Hongwei JO - European Journal of Operational Research PY - 2011 DA - 2011// VL - 211 ID - Li2011 ER - TY - JOUR TI - A purification algorithm for semi-infinite programming AU - T. Leon AU - E. Vercher JO - European Journal of Operational Research PY - 1992 DA - 1992// VL - 57 ID - Leon1992 ER - TY - JOUR TI - Ranking function and their applications to fuzzy linear programming AU - H. R. Maleki JO - Far East J. Math. Sci (EFMS) PY - 2002 DA - 2002// VL - 4 ID - Maleki2002 ER - TY - JOUR TI - The role of linear semi-infinite programming in signal-adapted QMF bank design AU - P. Moulin AU - M. Anitescu AU - K. O. Kortanek AU - F. A. Potra JO - IEEE Trans. Signal Processing PY - 1997 DA - 1997// VL - 45 ID - Moulin1997 ER - TY - JOUR TI - Inequality constraints between fuzzy number and their use in mathematical programming Stochastic Versus Fuzzy Approaches To Multi objective Mathematical Programming Under Uncertainly AU - M. Roubnes JO - Kluwer Academic Publishers PY - 1991 DA - 1991// VL - ID - Roubnes1991 ER - TY - JOUR TI - Fuzzy sets AU - L. A. Zadeh JO - Information and Control PY - 1965 DA - 1965// VL - 8 ID - Zadeh1965 ER -