A fuzzy goal programming approach for solving fuzzy multi-objective stochastic linear programming problem

This paper deals with the multi-objective chance constrained programming, where the right hand side of the constraints are normally distributed and the objective functions with fuzzy numbers coefficients. A fuzzy goal programming approach is developed for the corresponding deterministic problem by d...

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Vydáno v:2019 International Conference on Industrial Engineering and Systems Management (IESM) s. 1 - 6
Hlavní autoři: Masoud, Mahmoud, Khalifa, H. A., Liu, Shi Qiang, Elhenawy, Mohammed, Wu, Peng
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.09.2019
Témata:
Cable shielding
Chance constrained programming
Conductors
Estimation
fuzzy numbers
Fuzzy programming
Goal programming
Joint probability distribution
Normal distribution
Optimal compromise solution
Power cables
Resistance
Temperature measurement
Uncertainty
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Shrnutí:This paper deals with the multi-objective chance constrained programming, where the right hand side of the constraints are normally distributed and the objective functions with fuzzy numbers coefficients. A fuzzy goal programming approach is developed for the corresponding deterministic problem by defining membership values and aspiration levels. The advantage of the proposed approach is the decision-maker's role only in estimating the efficient solution to avoid or atleast limit the influences of his/her knowledge incomplete about the studied problem. A numerical example is given in the utility of the paper to illustrate the applied and the efficiency of the approach.
DOI:10.1109/IESM45758.2019.8948204