Solving linear programming problems under fuzziness and randomness environment using attainment values
作者： Nguyen Van Hop
DOI: 10.1016/J.INS.2007.01.032
关键词:
摘要: In this paper, the author presents a model to measure attainment values of fuzzy numbers/fuzzy stochastic variables. These new measures are then used convert linear programming problem or into corresponding deterministic problem. Numerical comparisons provided illustrate effectiveness proposed method.
acm.org
elsevier.com
sci-hub.se 参考文章(20)
Stefan Chanas, Paweł Zieliński, On the equivalence of two optimization methods for fuzzy linear programming problems European Journal of Operational Research. ,vol. 121, pp. 56- 63 ,(2000) , 10.1016/S0377-2217(99)00011-9
Jershan Chiang, Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set European Journal of Operational Research. ,vol. 129, pp. 65- 86 ,(2001) , 10.1016/S0377-2217(99)00404-X
Zdeněk Zmeškal, Value at risk methodology under soft conditions approach (fuzzy-stochastic approach) European Journal of Operational Research. ,vol. 161, pp. 337- 347 ,(2005) , 10.1016/J.EJOR.2003.08.048
K.David Jamison, Weldon A. Lodwick, Fuzzy linear programming using a penalty method Fuzzy Sets and Systems. ,vol. 119, pp. 97- 110 ,(2001) , 10.1016/S0165-0114(99)00082-2
H.R. Maleki, M. Tata, M. Mashinchi, Linear programming with fuzzy variables Fuzzy Sets and Systems. ,vol. 109, pp. 21- 33 ,(2000) , 10.1016/S0165-0114(98)00066-9
M.K Luhandjula, Optimisation under hybrid uncertainty Fuzzy Sets and Systems. ,vol. 146, pp. 187- 203 ,(2004) , 10.1016/J.FSS.2004.01.002
M.K. Luhandjula, Fuzziness and randomness in an optimization framework Fuzzy Sets and Systems. ,vol. 77, pp. 291- 297 ,(1996) , 10.1016/0165-0114(95)00043-7
S.-C. Fang, C.-F. Hu, H.-F. Wang, S.-Y. Wu, Linear programming with fuzzy coefficients in constraints Computers & Mathematics with Applications. ,vol. 37, pp. 63- 76 ,(1999) , 10.1016/S0898-1221(99)00126-1
C.J. Shih, R.A.S. Wangsawidjaja, Mixed fuzzy-probabilistic programming approach for multiobjective engineering optimization with random variables Computers & Structures. ,vol. 59, pp. 283- 290 ,(1996) , 10.1016/0045-7949(95)00255-3
Sy-Ming Guua, Yan-Kuen Wu, Two-phase approach for solving the fuzzy linear programming problems Fuzzy Sets and Systems. ,vol. 107, pp. 191- 195 ,(1999) , 10.1016/S0165-0114(97)00304-7