Nasseri, S. H.; Ebrahimnejad, A.; Mizuno, S. Duality in fuzzy linear programming with symmetric trapezoidal numbers. (English) Zbl 1205.90314 Appl. Appl. Math. 5, No. 10, 1467-1482 (2010). Summary: Linear programming problems with trapezoidal fuzzy numbers have recently attracted much interest. Various methods have been developed for solving these types of problems. Here, following the work of Ganesan and Veeramani and using the recent approach of Mahdavi-Amiri and Nasseri, we introduce the dual of the linear programming problem with symmetric trapezoidal fuzzy numbers and establish some duality results. The results will be useful for post optimality analysis. Cited in 10 Documents MSC: 90C70 Fuzzy and other nonstochastic uncertainty mathematical programming 90C05 Linear programming 90C31 Sensitivity, stability, parametric optimization Keywords:duality; fuzzy arithmetic; fuzzy linear programming; symmetric trapezoidal fuzzy number PDFBibTeX XMLCite \textit{S. H. Nasseri} et al., Appl. Appl. Math. 5, No. 2, 1467--1482 (2010; Zbl 1205.90314) Full Text: Link