메뉴 건너뛰기




Volumn 11, Issue 1, 2011, Pages 1044-1056

Two-stage fuzzy stochastic programming with Value-at-Risk criteria

Author keywords

Fuzzy random variable; Fuzzy stochastic programming; Particle swarm optimization; Value of fuzzy random solution; Value of perfect information; Value at Risk

Indexed keywords

FUZZY RANDOM; FUZZY RANDOM VARIABLE; FUZZY STOCHASTIC PROGRAMMING; PARTICLE SWARM; VALUE AT RISK; VALUE OF PERFECT INFORMATION;

EID: 77957917247     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2010.02.004     Document Type: Article
Times cited : (34)

References (48)
  • 1
    • 53049097083 scopus 로고    scopus 로고
    • On fuzzy random multiobjective quadratic programming
    • E.E. Ammar On fuzzy random multiobjective quadratic programming European Journal of Operational Research 193 2 2009 329 341
    • (2009) European Journal of Operational Research , vol.193 , Issue.2 , pp. 329-341
    • Ammar, E.E.1
  • 2
    • 59049100103 scopus 로고    scopus 로고
    • A production inventory model with fuzzy random demand and with flexibility and reliability considerations
    • S. Bag, D. Chakraborty, and A.R. Roy A production inventory model with fuzzy random demand and with flexibility and reliability considerations Computers & Industrial Engineering 56 1 2009 411 416
    • (2009) Computers & Industrial Engineering , vol.56 , Issue.1 , pp. 411-416
    • Bag, S.1    Chakraborty, D.2    Roy, A.R.3
  • 3
    • 31644440648 scopus 로고    scopus 로고
    • Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness
    • M. Beer, W. Graf, and J.-U. Sickert Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness Computers & Structures 84 8-9 2006 585 603
    • (2006) Computers & Structures , vol.84 , Issue.89 , pp. 585-603
    • Beer, M.1    Graf, W.2    Sickert, J.-U.3
  • 6
    • 0004139889 scopus 로고
    • W. H. Freeman and Company New York
    • V. Chvatal Linear Programming 1983 W. H. Freeman and Company New York
    • (1983) Linear Programming
    • Chvatal, V.1
  • 7
    • 0036464756 scopus 로고    scopus 로고
    • The particle swarm - Explosion, stability, and convergence in a multidimensional complex space
    • M. Clerc, and J. Kennedy The particle swarm - Explosion, stability, and convergence in a multidimensional complex space IEEE Transactions on Evolutionary Computaion 6 1 2002 58 73
    • (2002) IEEE Transactions on Evolutionary Computaion , vol.6 , Issue.1 , pp. 58-73
    • Clerc, M.1    Kennedy, J.2
  • 8
    • 1942469412 scopus 로고    scopus 로고
    • Multi-item stochastic and fuzzy-stochastic inventory models under two restrictions
    • K. Das, T.K. Roy, and M. Maiti Multi-item stochastic and fuzzy-stochastic inventory models under two restrictions Computers & Operations Research 31 11 2004 1793 1806
    • (2004) Computers & Operations Research , vol.31 , Issue.11 , pp. 1793-1806
    • Das, K.1    Roy, T.K.2    Maiti, M.3
  • 9
    • 85008765609 scopus 로고    scopus 로고
    • An overview of value-at-risk
    • D. Duffie, and J. Pan An overview of value-at-risk Journal of Derivatives 4 3 1997 7 49
    • (1997) Journal of Derivatives , vol.4 , Issue.3 , pp. 7-49
    • Duffie, D.1    Pan, J.2
  • 10
    • 23744492206 scopus 로고    scopus 로고
    • A single-period inventory model with fuzzy random variable demand
    • P. Dutta, D. Chakraborty, and A.R. Roy A single-period inventory model with fuzzy random variable demand Mathematical and Computer Modelling 41 8-9 2005 915 922
    • (2005) Mathematical and Computer Modelling , vol.41 , Issue.89 , pp. 915-922
    • Dutta, P.1    Chakraborty, D.2    Roy, A.R.3
  • 12
    • 63949085033 scopus 로고    scopus 로고
    • Mean-variance models for portfolio selection with fuzzy random returns
    • F.F. Hao, and Y.K. Liu Mean-variance models for portfolio selection with fuzzy random returns Journal of Applied Mathematics and Computing 30 1-2 2009 9 38
    • (2009) Journal of Applied Mathematics and Computing , vol.30 , Issue.12 , pp. 9-38
    • Hao, F.F.1    Liu, Y.K.2
  • 13
    • 33749182520 scopus 로고    scopus 로고
    • Fuzzy stochastic goal programming problems
    • N.V. Hop Fuzzy stochastic goal programming problems European Journal of Operational Research 176 1 2007 77 86
    • (2007) European Journal of Operational Research , vol.176 , Issue.1 , pp. 77-86
    • Hop, N.V.1
  • 14
    • 34548605211 scopus 로고    scopus 로고
    • A new perspective for optimal portfolio selection with random fuzzy returns
    • DOI 10.1016/j.ins.2007.06.003, PII S0020025507002897, Including: Mathematics of Uncertainty
    • X. Huang A new perspective for optimal portfolio selection with random fuzzy returns Information Sciences 177 23 2007 5404 5414 (Pubitemid 47409982)
    • (2007) Information Sciences , vol.177 , Issue.23 , pp. 5404-5414
    • Huang, X.1
  • 15
    • 34548487766 scopus 로고    scopus 로고
    • Molecular docking with multi-objective Particle Swarm Optimization
    • S. Janson, D. Merkle, and M. Middendorf Molecular docking with multi-objective Particle Swarm Optimization Applied Soft Computing 8 1 2008 666 675
    • (2008) Applied Soft Computing , vol.8 , Issue.1 , pp. 666-675
    • Janson, S.1    Merkle, D.2    Middendorf, M.3
  • 21
    • 6344232554 scopus 로고
    • Fuzzy random variables - I. Definitions and theorems
    • H. Kwakernaak Fuzzy random variables - I. Definitions and theorems Information Sciences 15 1 1978 1 29
    • (1978) Information Sciences , vol.15 , Issue.1 , pp. 1-29
    • Kwakernaak, H.1
  • 23
    • 33847212595 scopus 로고    scopus 로고
    • 2nd ed. Springer-Verlag Berlin
    • B. Liu Uncertainty Theory 2nd ed. 2007 Springer-Verlag Berlin
    • (2007) Uncertainty Theory
    • Liu, B.1
  • 24
    • 0036685786 scopus 로고    scopus 로고
    • Expected value of fuzzy variable and fuzzy expected value models
    • DOI 10.1109/TFUZZ.2002.800692, PII 1011092002800692
    • B. Liu, and Y.K. Liu Expected value of fuzzy variable and fuzzy expected value models IEEE Transaction on Fuzzy Systems 10 4 2002 445 450 (Pubitemid 34950049)
    • (2002) IEEE Transactions on Fuzzy Systems , vol.10 , Issue.4 , pp. 445-450
    • Liu, B.1    Liu, Y.-K.2
  • 25
    • 0042003111 scopus 로고    scopus 로고
    • Fuzzy random variable: A scalar expected value operator
    • Y.K. Liu, and B. Liu Fuzzy random variable: A scalar expected value operator Fuzzy Optimization and Decision Making 2 2 2003 143 160
    • (2003) Fuzzy Optimization and Decision Making , vol.2 , Issue.2 , pp. 143-160
    • Liu, Y.K.1    Liu, B.2
  • 26
    • 4544296724 scopus 로고    scopus 로고
    • On minimum-risk problems in fuzzy random decision systems
    • Y.K. Liu, and B. Liu On minimum-risk problems in fuzzy random decision systems Computers & Operations Research 32 2 2005 257 283
    • (2005) Computers & Operations Research , vol.32 , Issue.2 , pp. 257-283
    • Liu, Y.K.1    Liu, B.2
  • 27
    • 33645812547 scopus 로고    scopus 로고
    • Convergent results about the use of fuzzy simulation in fuzzy optimization problems
    • Y.K. Liu Convergent results about the use of fuzzy simulation in fuzzy optimization problems IEEE Transactions on Fuzzy Systems 14 2 2006 295 304
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.2 , pp. 295-304
    • Liu, Y.K.1
  • 28
    • 37249005846 scopus 로고    scopus 로고
    • The approximation method for two-stage fuzzy random programming with recourse
    • Y.K. Liu The approximation method for two-stage fuzzy random programming with recourse IEEE Transactions on Fuzzy Systems 15 6 2007 1197 1208
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.6 , pp. 1197-1208
    • Liu, Y.K.1
  • 29
    • 54249142589 scopus 로고    scopus 로고
    • The convergent results about approximating fuzzy random minimum risk problems
    • Y.K. Liu The convergent results about approximating fuzzy random minimum risk problems Applied Mathematics & Computation 205 2 2008 608 621
    • (2008) Applied Mathematics & Computation , vol.205 , Issue.2 , pp. 608-621
    • Liu, Y.K.1
  • 30
    • 0031521336 scopus 로고    scopus 로고
    • Constructive definitions of fuzzy random variables
    • M. López-Diaz, and M.A. Gil Constructive definitions of fuzzy random variables Statistics and Probability Letters 36 2 1997 135 143
    • (1997) Statistics and Probability Letters , vol.36 , Issue.2 , pp. 135-143
    • López-Diaz, M.1    Gil, M.A.2
  • 31
    • 0002977423 scopus 로고    scopus 로고
    • Fuzziness and randomness in an optimization framework
    • M.K. Luhandjula Fuzziness and randomness in an optimization framework Fuzzy Sets and Systems 77 3 1996 291 297
    • (1996) Fuzzy Sets and Systems , vol.77 , Issue.3 , pp. 291-297
    • Luhandjula, M.K.1
  • 32
    • 3142673615 scopus 로고    scopus 로고
    • Optimization under hybrid uncertainty
    • M.K. Luhandjula Optimization under hybrid uncertainty Fuzzy Sets and Systems 146 2 2004 187 203
    • (2004) Fuzzy Sets and Systems , vol.146 , Issue.2 , pp. 187-203
    • Luhandjula, M.K.1
  • 33
    • 33746815648 scopus 로고    scopus 로고
    • Fuzzy stochastic linear programming: Survey and future research directions
    • M.K. Luhandjula Fuzzy stochastic linear programming: Survey and future research directions European Journal of Operational Research 174 3 2006 1353 1367
    • (2006) European Journal of Operational Research , vol.174 , Issue.3 , pp. 1353-1367
    • Luhandjula, M.K.1
  • 34
    • 50149086082 scopus 로고    scopus 로고
    • Solving shortest path problem using particle swarm optimization
    • A.W. Mohemmed, N.C. Sahoo, and T.K. Geok Solving shortest path problem using particle swarm optimization Applied Soft Computing 8 4 2008 1643 1653
    • (2008) Applied Soft Computing , vol.8 , Issue.4 , pp. 1643-1653
    • Mohemmed, A.W.1    Sahoo, N.C.2    Geok, T.K.3
  • 35
    • 0000649264 scopus 로고
    • Computational complexity of parametric linear programming
    • K.G. Murty Computational complexity of parametric linear programming Mathematical Programming 19 1980 213 219
    • (1980) Mathematical Programming , vol.19 , pp. 213-219
    • Murty, K.G.1
  • 37
    • 3142768423 scopus 로고    scopus 로고
    • Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients
    • A. Ratnweera, S.K. Halgamuge, and H.C. Watson Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients IEEE Transactions on Evolutionary Computation 8 3 2004 240 255
    • (2004) IEEE Transactions on Evolutionary Computation , vol.8 , Issue.3 , pp. 240-255
    • Ratnweera, A.1    Halgamuge, S.K.2    Watson, H.C.3
  • 39
    • 43949163813 scopus 로고
    • Linear programming with fuzzy random variable coefficients
    • G. Wang, and Z. Qiao Linear programming with fuzzy random variable coefficients Fuzzy Sets and Systems 57 3 1993 295 311
    • (1993) Fuzzy Sets and Systems , vol.57 , Issue.3 , pp. 295-311
    • Wang, G.1    Qiao, Z.2
  • 40
    • 57749098290 scopus 로고    scopus 로고
    • T-independence condition for fuzzy random vector based on continuous triangular norms
    • S. Wang, and J. Watada T-independence condition for fuzzy random vector based on continuous triangular norms Journal of Uncertain Systems 2 2 2008 155 160
    • (2008) Journal of Uncertain Systems , vol.2 , Issue.2 , pp. 155-160
    • Wang, S.1    Watada, J.2
  • 41
    • 61749100218 scopus 로고    scopus 로고
    • Studying distribution functions of fuzzy random variables and its applications to critical value functions, International Journal of Innovative Computing
    • S. Wang, and J. Watada Studying distribution functions of fuzzy random variables and its applications to critical value functions, International Journal of Innovative Computing Information & Control 5 2 2009 279 292
    • (2009) Information & Control , vol.5 , Issue.2 , pp. 279-292
    • Wang, S.1    Watada, J.2
  • 42
    • 67649385994 scopus 로고    scopus 로고
    • Reliability optimization of a series-parallel system with fuzzy random lifetimes, International Journal of Innovative Computing
    • S. Wang, and J. Watada Reliability optimization of a series-parallel system with fuzzy random lifetimes, International Journal of Innovative Computing Information & Control 5 6 2009 1547 1558
    • (2009) Information & Control , vol.5 , Issue.6 , pp. 1547-1558
    • Wang, S.1    Watada, J.2
  • 45
    • 43849106075 scopus 로고    scopus 로고
    • Multi-objective decision making model under fuzzy random environment and its application to inventory problems
    • J. Xu, and Y.G. Liu Multi-objective decision making model under fuzzy random environment and its application to inventory problems Information Sciences 178 15 2008 2899 2914
    • (2008) Information Sciences , vol.178 , Issue.15 , pp. 2899-2914
    • Xu, J.1    Liu, Y.G.2
  • 46
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • L.A. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets and Systems 1 1 1978 3 28
    • (1978) Fuzzy Sets and Systems , vol.1 , Issue.1 , pp. 3-28
    • Zadeh, L.A.1
  • 47
    • 18144388681 scopus 로고    scopus 로고
    • Toward a generalized theory of uncertainty (GTU) - An outline
    • L.A. Zadeh Toward a generalized theory of uncertainty (GTU) - an outline Information Sciences 172 1-2 2005 1 40
    • (2005) Information Sciences , vol.172 , Issue.12 , pp. 1-40
    • Zadeh, L.A.1
  • 48
    • 33750351856 scopus 로고    scopus 로고
    • Generalized theory of uncertainty (GTU) - Principal concepts and ideas
    • L.A. Zadeh Generalized theory of uncertainty (GTU) - principal concepts and ideas Computational Statistics & Data Analysis 51 1 2006 15 46
    • (2006) Computational Statistics & Data Analysis , vol.51 , Issue.1 , pp. 15-46
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.