Parametric Study of Fuzzy Number Linear Programming

This paper is devoted to show the effect of the continuous variational parameter in the objective function coefficients on the optimum solution, which is an extension of the sensitivity analysis of fuzzy number linear programming. We prove that if the parameter is in a certain range, this problem ha...

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Vydáno v:2013 Ninth International Conference on Computational Intelligence and Security s. 339 - 343
Hlavní autoři: Yan-Lin Jia, Yan Yang, Yi-Hua Zhong
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.12.2013
Témata:
Educational institutions
fuzzy number linear programming
Fuzzy sets
fuzzy simplex algorithm
Linear programming
Operations research
Optimization
ranking function
Sensitivity analysis
trapezoidal fuzzy number
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Shrnutí:This paper is devoted to show the effect of the continuous variational parameter in the objective function coefficients on the optimum solution, which is an extension of the sensitivity analysis of fuzzy number linear programming. We prove that if the parameter is in a certain range, this problem has a unique optimal solution, otherwise it has non-unique optimal solutions or is unbounded or infeasible. Then, the optimal value function is a fuzzy linear function of the parameter. Finally, numerical examples demonstrate the theorem and illustrate the computational procedure.
DOI:10.1109/CIS.2013.78