Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach

Information Sciences

Volumn 241, Issue , 2013, Pages 12-27

  Fan, Y R ^a   Huang, G H ^a,b   Yang, A L ^b  

^a UNIVERSITY OF REGINA   (Canada)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

Author keywords

Carlo; Decision making; Fuzzy programming; Fuzzy sets; Monte; Optimization; Uncertainty

Indexed keywords

CARLO; DECISION MAKING UNDER UNCERTAINTY; FUZZY LINEAR PROGRAMMING; FUZZY PROGRAMMING; INTERVAL LINEAR PROGRAMMING; MONTE; STATISTICAL REGRESSION METHOD; UNCERTAINTY;

ALGORITHMS; DECISION MAKING; DESIGN; FUZZY SETS; MEMBERSHIP FUNCTIONS; MONTE CARLO METHODS; OPTIMIZATION; REGRESSION ANALYSIS;

LINEAR PROGRAMMING;

EID: 84878248946     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.04.004     Document Type: Article

References (52)

1. E.E. Ammar On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem Information Sciences 178 2008 468 484
2. J.M. Bloemhof-Ruwaard, P. van Beek, L. Hordijk, and L.N. Van Wassenhove Interactions between operational research and environmental management European Journal of Operational Research 85 1995 229 243
3. J. Buckley, and T. Feuring Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming Fuzzy Sets and Systems 109 2000 35 53
4. S. Chanas The use of parametric programming in fuzzy linear programming Fuzzy Sets and Systems 11 1983 243 251
5. M. Dehghan, B. Hashemi, and M. Ghatee Computational methods for solving fully fuzzy linear systems Applied Mathematics and Computation 179 2006 328 343
6. M. Dehghan, M. Ghatee, and B. Hashemi Inverse of a fuzzy matrix of fuzzy numbers International Journal of Computer Mathematics 86 8 2009 1433 1452
7. M. Delgado, J.L. Verdegay, and M.A. Vila A general model for fuzzy linear programming Fuzzy Sets and Systems 29 1989 21 29
8. M. Delgado, F. Herrera, J.L. Verdegay, and M.A. Vila Post-optimality analysis on the membership functions of a fuzzy linear programming problems Fuzzy Sets and Systems 53 1993 289 297
9. D. Dubois, and H. Prade Fuzzy Sets and Systems: Theory and Applications 1980 Academic Press London
10. D. Dubois, and H. Prade System of linear fuzzy constraints Fuzzy Sets and Systems 3 1980 37 48
11. Y.R. Fan, and G.H. Huang A robust two-step method for solving interval linear programming problems within an environmental management context Journal of Environmental Informatics 19 1 2012 1 9
12. Y.R. Fan, G.H. Huang, Y.P. Li, M.F. Cao, and G.H. Cheng A fuzzy linear programming approach for municipal solid-waste management under uncertainty Engineering Optimization 41 12 2009 1081 1101
13. Y.R. Fan, G.H. Huang, and A. Veawab A generalized fuzzy linear programming approach for environmental management problem under uncertainty Journal of Air & Waste Management Association 62 1 2012 72 86
14. Y.R. Fan, G.H. Huang, P. Guo, and A.L. Yang Inexact two-stage stochastic partial programming: application to water resources management under uncertainty Stochastic Environmental Research and Risk Assessment 26 2 2012 281 293
15. Y.R. Fan, G.H. Huang, and Y.P. Li Robust interval linear programming for environmental decision making under uncertainty Engineering Optimization 44 11 2012 1321 1336
16. L. Guo, Y.P. Li, G.H. Huang, X.W. Wang, and C. Dai Development of an interval-based evacuation management model in response to nuclear-power plant accident Journal of Environmental Informatics 20 2 2012 58 66
17. S.M. Hashemi, M. Modarres, E. Nasrabadi, and M.M. Nasradadi Fully fuzzified linear programming, solution and duality Journal of Intelligent & Fuzzy Systems 2006 7 253 261
18. N.V. Hop Solving fuzzy (stochastic) linear programming problems using superiority and inferiority measures Information Sciences 177 2007 1977 1991
19. G.H. Huang IPWM: an interval parameter water quality model Engineering Optimization 26 1996 79 103
20. G.H. Huang A hybrid inexact-stochastic water management model European Journal of Operational Research 107 1998 137 158
21. G.H. Huang, B.W. Baetz, and G.G. Patry A grey linear programming approach for municipal solid waste management planning under uncertainty Civil Engineering Systems 9 1992 319 335
22. G.H. Huang, B.W. Baetz, and G.G. Patry A grey fuzzy linear programming approach for municipal solid waste management planning under uncertainty Civil Engineering Systems 10 1993 123 146
23. G.H. Huang, B.W. Baetz, and G.G. Patry Grey fuzzy integer programming: an application to waste management planning under uncertainty European Journal of Operational Research 83 1995 594 620
24. M. Jiménez, M. Arenas, A. Bilbao, and M.V. RodrÍguez Linear programming with fuzzy parameters: an interactive method resolution European Journal of Operational Research 177 3 2007 1599 1609
25. H. Katagiri, and M. Sakawa Interactive multiobjective fuzzy random programming through the level set-based probability model Information Sciences 181 2011 1641 1650
26. A. Kaufmann, and M. Cupta Fuzzy Mathematical Models in Engineering and Many Science 1988 North Holland Amsterdam
27. M. Kelkinnama, and S.M. Taheri Fuzzy least-absolutes regression using shape preserving operations Information Sciences 214 2012 105 120
28. Y.J. Lai, and C.L. Hwang A new approach to some possibilistic linear programming problem Fuzzy Sets and Systems 49 1992 121 133
29. Y.J. Lai, and C.L. Hwang Fuzzy Mathematical Programming 1992 Springer-Verlag Berlin
30. Y.W. Lee, I. Bogardi, and J. Stansbury Fuzzy decision making in dredged-material management ASCE Journal of Environmental Engineering 117 2 1991 614 628
31. T. León, and E. Vercher Solving a class of fuzzy linear programs by using semi-infinite programming techniques Fuzzy Sets and Systems 146 2004 235 252
32. G. Li Fuzzy goal programming - a parametric approach Information Sciences 195 2012 287 295
33. Y.P. Li, and G.H. Huang Fuzzy-stochastic-based violation analysis method for planning water resources management systems with uncertain information Information Sciences 179 2009 4261 4276
34. Y.P. Li, G.H. Huang, P. Guo, Z.F. Yang, and S.L. Nie A dual-interval vertex analysis method and its application to environmental decision making under uncertainty European Journal of Operational Research 200 2010 536 550
35. F.H. Lotfi, T. Allahviranloo, M.A. Jondabeh, and L. Alizadeh Solving fully fuzzy linear programming using lexicography method and fuzzy approximate solution Applied Mathematical Modelling 33 2009 3151 3156
36. H.R. Maleki, M. Tata, and M. Mashinchi Linear programming with fuzzy variables Fuzzy Sets and Systems 109 2000 21 33
37. N. Mahdavi-Amiri, and S.H. Nasseri Duality results and a dual simplex method for linear programming problems with trapezoidal fuzzy variables Fuzzy Sets and Systems 158 2007 961 1978
38. V.H. Nguyen Solving linear programming problems under fuzziness and randomness environment using attainment values Information Sciences 177 2007 2971 2984
39. X.H. Nie, G.H. Huang, Y.P. Li, and L. Liu IFRP: a hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty Journal of Environmental Management 84 2007 1 11
40. M.S. Ozdemir, and T.L. Saaty The unknown in decision making what to do about it? European Journal of Operational Research 181 2006 1434 1463
41. A. Pires, G. Martinho, and N.B. Chang Solid waste management in European countries: a review of systems analysis techniques Journal of Environmental Management 92 2011 1033 1050
42. H. Rommelfanger Interactive decision making in fuzzy linear optimization problems European Journal of Operational Research 41 1989 210 217
43. H. Rommelfanger Fuzzy linear programming and applications European Journal of Operational Research 92 1996 512 527
44. A. Ruszcyński Decomposition methods in stochastic programming Mathematical Programming 79 1997 333 353
45. A.K. Srivastava, and A.K. Nema Fuzzy parametric programming model for integrated solid waste management under uncertainty Journal of Environmental Engineering 137 2011 69 83
46. H. Tanaka, T. Okuda, and K. Asai On fuzzy mathematical programming Journal of Cybernet 3 1974 37 46
47. H. Tanaka, and A. Asia Fuzzy solution in fuzzy linear programming problems IEEE Transaction on Systems, Man, and Cybernetics 14 1984 325 328
48. H. Tanaka, P.J. Guo, and H.-J. Zimmermann Possibility distributions of fuzzy decision variables obtained from possibilistic linear programming problems Fuzzy Sets and Systems 113 2000 323 332
49. P. van Beek, L. Fortuin, and L.N. Van Wassenhove Operational research and the environment Environmental and Resource Economics 2 1992 635 639
50. Y. Xu, G.H. Huang, and T.Y. Xu Inexact management modeling for urban water supply systems Journal of Environmental Informatics 20 1 2012 34 43
51. R.A. Young, Uncertainty and the Environment: Implications for Decision Making and Environmental Policy, Edward Elgar, Cheltenham, UK, 2001.
52. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353