Abstract
The objective of this paper is to deal with a kind of fuzzy linear programming problem involving symmetric trapezoidal fuzzy numbers. Some important and interesting results are obtained which in turn lead to a solution of fuzzy linear programming problems without converting them to crisp linear programming problems.
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References
Bellman, R.E. and L.A. Zadeh. (1970). Decision Making in fuzzy environment. Management science 17, 141–164.
Maleki, H.R., M. Tata and M. Mashinchi. (1996). Fuzzy number Linear Programming. Proc Internat Conf on intelligent and Cognitive Systems FSS Sponsored by IEE and ISRF, Tehran, Iran 145–148.
Maleki, H.R., M. Tata and M. Mashinchi. (2000). Linear Programming with Fuzzy Variables. Fuzzy Sets and Systems 109, 21–33.
Tanaka, H., T. Okuda, and K. Asai. (1974). On Fuzzy Mathematical Programming. Journal of Cybernetics 13, 37–46.
Tanaka, H. and K. Asai. (1984). Fuzzy Linear Programming Problems with Fuzzy numbers. Fuzzy Sets and Systems 13, 1–10.
Zimmermann, H.J. (1974). Optimization in fuzzy environment. presented at XXI Int. TIMES and 46th ORSA Conference, San Juan, Puerto Rioco.
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AMS subject classification: 90C05. 90C70
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Ganesan, K., Veeramani, P. Fuzzy linear programs with trapezoidal fuzzy numbers. Ann Oper Res 143, 305–315 (2006). https://doi.org/10.1007/s10479-006-7390-1
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DOI: https://doi.org/10.1007/s10479-006-7390-1