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Original Articles

A Synthesizing Effect-Based Solution Method for Stochastic Rough Multi-objective Programming Problems

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Pages 696-705 | Received 20 Jan 2013, Accepted 17 May 2013, Published online: 18 Oct 2013

References

  • X. Z. Jin, X. Lei and J. Du, Evolutionary Game Theory in Multi-objective Optimization Problem, International Journal of Computational Intelligence Systems. 3 (2010) 74-87.
  • X. W. Zhang and H. Liu, A scalable coevolutionary multi-objective particle swarm optimizer, International Journal of Computational Intelligence Systems. 3(5) (2010) 590-600.
  • B. D. Liu, Theory and Practice of Uncertain Programming, 2nd edn. (Physica Verlag, Berlin, 2009).
  • J. P. Xu and L. M. Yao, A class of multiobjective linear programming models with random rough coefficients, Mathematical and Computer Modelling. 49(1-2) (2009) 189-206.
  • J. P. Xu and L. M. Yao, A class of expected value multi-objective programming problems with random rough coefficients, Mathematical and Computer Modelling. 50(1-2) (2009) 141-158.
  • B. D. Liu, Uncertain Theory: An Introduction to its Axiomatic Foundations, 2nd edn. (Springer-Verlag, Berlin, 2007).
  • A. Azaron, K. N. Brown, S. A. Tarim and M. Modarres, A multi-objective stochastic programming approach for supply chain design considering risk, Int. J. Production Economics. 116(1) (2008) 129-138.
  • F. B. Abdelaziz, B. Aouni and R. E. Fayedh, Multi-objective stochastic programming for portfolio selection, European Journal of Operational Research. 177(3) (2007) 1811-1823.
  • C. W. Cao, X. S. Gu and Z. Xin, Chance constrained programming models for refinery short-term crude oil scheduling problem, Applied Mathematical Modelling. 33(3) (2009) 1696-1707.
  • M. Ramezani, M. Bashiri and R. Tavakkoli-Moghaddam, A new multi-objective stochastic model for a forward/reverse logistic network design with responsiveness and quality level, Applied Mathematical Modelling. 37(1-2) (2013) 328-344.
  • O. Turgut and A. E. Murat, Generating pareto surface for multi objective integer programming problems with stochastic objective coefficients, Procedia Computer Science. 6 (2011) 46-51.
  • V. Charles, A. Udhayakumar and V. R. Uthariaraj, An approach to find redundant objective function(s) and redundant constraint(s) in multi-objective nonlinear stochastic fractional programming problems, European Journal of Operational Research. 201(2) (2010) 390-398.
  • F. B. Abdelaziz, Solution approaches for the multiobjective stochastic programming, European Journal of Operational Research. 216(1) (2012) 1-16.
  • X. D. Zhang, G. H. Huang, C.W. Chen, Z. F. Liu and Q. G. Lin, A fuzzy-robust stochastic multiobjective programming approach for petroleum waste management planning, Applied Mathematical Modelling. 34(10) (2010) 2778-2788.
  • Y. T. Zhu and K. A. Ariyawansa, A preliminary set of applications leading to stochastic semidefinite programs and chance-constrained semidefinite programs, Applied Mathematical Modelling. 35(5) (2011) 2425-2442.
  • B. M. Alzalg, Stochastic second-order cone programming: Applications models, Applied Mathematical Modelling. 36(10) (2012) 5122-5134.
  • Y. Y. Yao, Probabilistic rough set approximations, International Journal of Approximate Reasoning. 49(2) (2008) 255-271.
  • W. Ziarko, Probabilistic approach to rough sets, International Journal of Approximate Reasoning. 49(2) (2008) 272-284.
  • Y. Y. Yao, Three-way decisions with probabilistic rough sets, Information Sciences. 180(3) (2010) 341-353.
  • W. M. Ma, Probabilistic rough set over two universes and rough entropy, International Journal of Approximate Reasoning. 53(4) (2012) 608-619.
  • E. A. Youness, Characterizing solutions of rough programming problems, European Journal of Operational Research. 168(3) (2006) 1019-1029.
  • H. W. Lu, G. H. Huang and L. He, An inexact rough-interval fuzzy linear programming method for generating conjunctive water-allocation strategies to agricultural irrigation systems, Applied Mathematical Modelling. 35(9) (2011) 4330-4340.
  • H. Holland, Adaption in Natural and Artifical Systems, (University of Michigan, Ann Arbor, 1975).

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