On fuzzy random multiobjective quadratic programming
作者： E.E. Ammar
DOI: 10.1016/J.EJOR.2007.11.031
关键词: Fuzzy set operations 、 Sequential quadratic programming 、 Quadratic programming 、 Mathematical optimization 、 Mathematics 、 Fuzzy associative matrix 、 Fuzzy transportation 、 Defuzzification 、 Fuzzy number 、 Fuzzy logic
摘要: In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints decision vector are pseudorandom variables is considered. First, we show that efficient solutions of problems resolved into series-optimal-solutions relative scalar programming. Some theorems proved to find an optimal solution with coefficients, vectors as variables. At end, numerical examples illustrated support obtained results.
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sci-hub.se 参考文章(31)
Anand Nayyar, Surbhi Garg, Deepak Gupta, Ashish Khanna, Theory and Algorithms Springer Berlin Heidelberg. pp. 1- 51 ,(2009) , 10.1007/978-3-540-68651-4_4
Qiao Zhong, Zhang Yue, Wang Guangyuan, On fuzzy random linear programming Fuzzy Sets and Systems. ,vol. 65, pp. 31- 49 ,(1994) , 10.1016/0165-0114(94)90245-3
Wang Guang-yuan, Qiao Zhong, Linear programming with fuzzy random variable coefficients Fuzzy Sets and Systems. ,vol. 57, pp. 295- 311 ,(1993) , 10.1016/0165-0114(93)90025-D
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
Y LIU, B LIU, Fuzzy random programming with equilibrium chance constraints Information Sciences. ,vol. 170, pp. 363- 395 ,(2005) , 10.1016/J.INS.2004.03.010
Atanu Sengupta, Tapan Kumar Pal, On comparing interval numbers European Journal of Operational Research. ,vol. 127, pp. 28- 43 ,(2000) , 10.1016/S0377-2217(99)00319-7
M.K. Luhandjula, M.M. Gupta, On fuzzy stochastic optimization Fuzzy Sets and Systems. ,vol. 81, pp. 47- 55 ,(1996) , 10.1016/0165-0114(95)00240-5
Christer Carlsson, Pekka Korhonen, A parametric approach to fuzzy linear programming Fuzzy Sets and Systems. ,vol. 20, pp. 17- 30 ,(1986) , 10.1016/S0165-0114(86)80028-8
Jiafu Tang, Dingwei Wang, An interactive approach based on a genetic algorithm for a type of quadratic programming problems with fuzzy objective and resources Computers & Operations Research. ,vol. 24, pp. 413- 422 ,(1997) , 10.1016/S0305-0548(96)00059-7
Zhong Wan, S.Y. Wu, K.L. Teo, Some properties on quadratic infinite programs of integral type Applied Mathematics Letters. ,vol. 20, pp. 676- 680 ,(2007) , 10.1016/J.AML.2006.07.006