Fuzzy multilevel programming with a hybrid intelligent algorithm

AbstractIn order to model fuzzy decentralized decision-making problem, fuzzy expected value multilevel programming and chance-constrained multilevel programming are introduced. Furthermore, fuzzy simulation, neural network, and genetic algorithm are integrated to produce a hybrid intelligent algorithm for finding the Stackelberg-Nash equilibrium. Finally, two numerical examples are provided to illustrate the effectiveness of the hybrid intelligent algorithm

Interactive Fuzzy Random Two-level Linear Programming through Fractile Criterion Optimization

This paper considers two-level linear programming problems involving fuzzy random variables. Having introduced level sets of fuzzy random variables and fuzzy goals of decision makers, following fractile criterion optimization, fuzzy random two-level programming problems are transformed into deterministic ones. Interactive fuzzy programming is presented for deriving a satisfactory solution efficiently with considerations of overall satisfactory balance

Modeling Decision Systems via Uncertain Programming

By uncertain programming we mean the optimization theory in generally uncertain (random, fuzzy, rough, fuzzy random, etc.) environments. The main purpose of this paper is to present a brief review on uncertain programming models, and classify them into three broad classes: expected value model, chanceconstrained programming and dependent-chance programming. This presentation is based on the book: B. Liu, Theory and Practice of Uncertain Programming, PhisicaVerlag, Heidelberg, 200

Interactive Fuzzy Programming for Stochastic Two-level Linear Programming Problems through Probability Maximization

This paper considers stochastic two-level linear programming problems. Using the concept of chance constraints and probability maximization, original problems are transformed into deterministic ones. An interactive fuzzy programming method is presented for deriving a satisfactory solution efficiently with considerations of overall satisfactory balance

Fuzzy approach to multilevel knapsack problems

[[abstract]]1. R.K. Ahuja, T.L. Magnanti, J.B. Orlin Networks Flows: Theory, Algorithms, and Applications Prentice-Hall, Providence, RI (1993) 2. S. Martello, P. Toth Knapsack Problems: Algorithms and Computer Implementations John-Wiley, Chichester, Englewood Cliffs, NJ (1990) 3. H.M. Salkin The knapsack problem: A survey Naval Research Logistics Quarterly, 22 (1) (1975), pp. 127–144 CrossRef | View Record in Scopus | Citing articles (45) 4. A. Goicoechea, D.R. Hanson, L. Duckstein Multiobjective Decision Analysis with Engineering and Business Application John Wiley, West Sussex (1982) 5. M. Visee, J. Teghem, M. Pirlot, E.L. Ulungu Two-phrases method and branch and bound procedures to solve the bi-objective knapsack problem J. of Global Optimization, 12 (1998), pp. 139–155 CrossRef | View Record in Scopus | Citing articles (106) 6. R. Andonov, V. Poirriez, S. Rajopadhye Unbounded knapsack problem: Dynamic programming revisited European J. of Operational Research, 123 (2000), pp. 394–407 Article | PDF (489 K) | View Record in Scopus | Citing articles (65) 7. T. Erlebach, H. Kellerer, U. Pferschy Approximating multiobjective knapsack problems Management Science, 48 (12) (2002), pp. 1603–1612 CrossRef | View Record in Scopus | Citing articles (53) 8. U.P. Wen, S.T. Hsu Linear bi-level programming problems—A review J. of Operational Research Society, 42 (1991), pp. 125–133 CrossRef | View Record in Scopus | Citing articles (135) 9. O. Ben-Ayed Bilevel linear programming Computers and Operations Research, 20 (1993), pp. 485–501 Article | PDF (1521 K) | View Record in Scopus | Citing articles (82) 10. K.I. Cho, S.H. Kim An improved interactive hybrid method for the linear multi-objective knapsack problem Computers and Operations Research, 24 (11) (1997), pp. 991–1003 Article | PDF (806 K) | View Record in Scopus | Citing articles (9) 11. K. Klamroth, M.M. Wieck Dynamic programming approaches to the multiple criteria knapsack problem Naval Research Logistics, 47 (2000), pp. 57–76 CrossRef | View Record in Scopus | Citing articles (62) 12. F.S. Salman, J.R. Kalagnanam, S. Murthy, A. Davenport Cooperative strategies for solving the bicriteria sparse multiple knapsack problem J. of Heuristics, 8 (2002), pp. 215–239 CrossRef | View Record in Scopus | Citing articles (2) 13. R.E. Bellman, L.A. Zadeh Decision making in a fuzzy environment Management Science, 17 (1970), pp. B141–B164 View Record in Scopus | Citing articles (1) 14. A.O. Esogbue, R.E. Bellman Fuzzy dynamic programming and its extensions ,in: H.-J. Zimmermann, L.A. Zadeh, B.R. Gaines (Eds.), TIMS Studies in the Management Sciences, Vol. 20 (1984), pp. 147–167 View Record in Scopus | Citing articles (53) 15. J. Kacprzyk Multistage Decision-Making under Fuzziness: Theory and Applications Verlag TUV Rheinland, New York (1983) 16. J. Kacprzyk, A.O. Esogbue Fuzzy dynamic programming: Main development and applications Fuzzy Sets and Systems, 81 (1) (1996), pp. 31–45 Article | PDF (1163 K) | View Record in Scopus | Citing articles (53) 17. H.S. Shih, E.S. Lee Discrete multi-level programming in a dynamic environment Y. Yoshida (Ed.), Dynamic Aspects in Fuzzy Decision Making Volume 73, Studies in Fuzziness and Soft Computing, Physica-Verlag, Köln (2001), pp. 79–98 CrossRef 18. H.S. Shih, Y.J. Lai, E.S. Lee Fuzzy approach for multi-level mathematical programming problems Computers and Operations Research, 23 (1) (1996), pp. 73–91 Article | PDF (1158 K) | View Record in Scopus | Citing articles (164) 19. E.S. Lee Fuzzy multiple level programming Applied Mathematics and Computation, 120 (2001), pp. 79–90 20. R.E. Bellman, E.S. Lee History and development of dynamic programming Control Systems Magazine, 14 (4) (1984), pp. 24–28 未完[[notice]]補正完畢[[journaltype]]國外[[incitationindex]]SCI[[incitationindex]]E