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Volumn 188, Issue , 2012, Pages 215-235

A class of rough multiple objective programming and its application to solid transportation problem

Author keywords

Multiple objective programming; Rough sets; Rough simulation based genetic algorithm; Solid transportation problem

Indexed keywords

COMPROMISE SOLUTIONS; GENERAL MODEL; HYDROPOWER STATIONS; INTERACTIVE FUZZY SATISFYING METHOD; MULTIPLE OBJECTIVE PROGRAMMING; MULTIPLE OBJECTIVE PROGRAMMING PROBLEMS; MULTIPLE OBJECTIVES; ROUGH SETS; SIMULATION-BASED; TRANSPORTATION PROBLEM;

EID: 84855422359     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.11.022     Document Type: Article
Times cited : (71)

References (53)
  • 1
    • 0027632377 scopus 로고
    • Fuzzy programming approach to multiobjective solid transportation problem
    • A. Bit, M. Biswal, and S. Alam Fuzzy programming approach to multiobjective solid transportation problem Fuzzy Sets and Systems 57 1993 183 194
    • (1993) Fuzzy Sets and Systems , vol.57 , pp. 183-194
    • Bit, A.1    Biswal, M.2    Alam, S.3
  • 2
    • 0032092163 scopus 로고    scopus 로고
    • Extensions and intentions in the rough set theory
    • PII S0020025597100469
    • Z. Bonikowski, E. Bryniarski, and U. Wybraniec-Skardowska Extensions and intentions in the rough set theory Information Sciences 107 1998 149 167 (Pubitemid 128383778)
    • (1998) Information Sciences , vol.107 , Issue.1-4 , pp. 149-167
    • Bonikowski, Z.1    Bryniarski, E.2    Wybraniec-Skardowska, U.3
  • 4
    • 0347608690 scopus 로고    scopus 로고
    • Neuro-rough control of masking thresholds for audio signal enhancement
    • A. Czyewski, and R. Królikowski Neuro-rough control of masking thresholds for audio signal enhancement Neurocomputing 36 2001 5 27
    • (2001) Neurocomputing , vol.36 , pp. 5-27
    • Czyewski, A.1    Królikowski, R.2
  • 5
    • 0035427240 scopus 로고    scopus 로고
    • Data classification based on tolerant rough set
    • K. Daijin Data classification based on tolerant rough set Pattern Recognition 34 2001 1613 1624
    • (2001) Pattern Recognition , vol.34 , pp. 1613-1624
    • Daijin, K.1
  • 6
    • 0037209435 scopus 로고    scopus 로고
    • Genetic algorithms for rerouting shortest paths in dynamic and stochastic networks
    • C. Davies, and P. Lingras Genetic algorithms for rerouting shortest paths in dynamic and stochastic networks European Journal of Operational Research 144 2003 27 38
    • (2003) European Journal of Operational Research , vol.144 , pp. 27-38
    • Davies, C.1    Lingras, P.2
  • 7
    • 0037290087 scopus 로고    scopus 로고
    • The compromise hypersphere for multiobjective linear programming
    • DOI 10.1016/S0377-2217(01)00388-5, PII S0377221701003885
    • S. Gass, and P. Roy The compromise hypersphere for multiobjective linear programming European Journal of Operational Research 144 2003 459 479 (Pubitemid 35276374)
    • (2003) European Journal of Operational Research , vol.144 , Issue.3 , pp. 459-479
    • Gass, S.I.1    Roy, P.G.2
  • 9
    • 0030575673 scopus 로고    scopus 로고
    • Evolution program for deterministic and stochastic optimizations
    • DOI 10.1016/0377-2217(95)00138-7
    • M. Gen, B. Liu, and K. Ida Evolution program for deterministic and stochastic optimizations European Journal of Operational Research 94 1996 618 625 (Pubitemid 126391967)
    • (1996) European Journal of Operational Research , vol.94 , Issue.3 , pp. 618-625
    • Gen, M.1    Liu, B.2    Ida, K.3
  • 10
    • 0035254283 scopus 로고    scopus 로고
    • Rough sets theory for multicriteria decision analysis
    • DOI 10.1016/S0377-2217(00)00167-3
    • S. Greco, B. Matarazzo, and R. Slowinski Rough sets theory for multicriteria decision analysis European journal of operational research 129 2001 1 47 (Pubitemid 32071221)
    • (2001) European Journal of Operational Research , vol.129 , Issue.1 , pp. 1-47
    • Greco, S.1    Matarazzo, B.2    Slowinski, R.3
  • 11
    • 0006086015 scopus 로고
    • The solid transportation problem
    • K. Haley The solid transportation problem Operations Research 10 1962 448 463
    • (1962) Operations Research , vol.10 , pp. 448-463
    • Haley, K.1
  • 12
    • 19044368099 scopus 로고    scopus 로고
    • Rough representation of a region of interest in medical images
    • DOI 10.1016/j.ijar.2004.11.008, PII S0888613X04001379, Data Mining and Granular Computing
    • S. Hirano, and S. Tsumoto Rough representation of a region of interest in medical images International Journal of Approximate Reasoning 40 2005 23 34 (Pubitemid 40710216)
    • (2005) International Journal of Approximate Reasoning , vol.40 , Issue.1-2 , pp. 23-34
    • Hirano, S.1    Tsumoto, S.2
  • 13
    • 77549087084 scopus 로고    scopus 로고
    • Fuzzy preference based rough sets
    • Q. Hu, D. Yu, and M. Guo Fuzzy preference based rough sets Information Sciences 180 2010 2003 2022
    • (2010) Information Sciences , vol.180 , pp. 2003-2022
    • Hu, Q.1    Yu, D.2    Guo, M.3
  • 14
    • 33745595849 scopus 로고    scopus 로고
    • A variable-grouping based genetic algorithm for large-scale integer programming
    • DOI 10.1016/j.ins.2005.04.009, PII S002002550500160X
    • Z. Hua, and F. Huang A variable-grouping based genetic algorithm for large-scale integer programming Information Sciences 176 2006 2869 2885 (Pubitemid 43993909)
    • (2006) Information Sciences , vol.176 , Issue.19 , pp. 2869-2885
    • Hua, Z.1    Huang, F.2
  • 15
    • 0030402687 scopus 로고    scopus 로고
    • Neural networks for solving multicriteria solid transportation problem
    • K. Ida, M. Gen, and Y. Li Neural networks for solving multicriteria solid transportation problem Computers & Industrial Engineering 31 1996 873 877 (Pubitemid 126651714)
    • (1996) Computers and Industrial Engineering , vol.31 , Issue.3-4 , pp. 873-877
    • Ida, K.1    Gen, M.2    Li, Y.3
  • 16
    • 34250724957 scopus 로고    scopus 로고
    • A hybrid genetic algorithm and bacterial foraging approach for global optimization
    • DOI 10.1016/j.ins.2007.04.002, PII S0020025507001855
    • D. Kim, A. Abraham, and J. Cho A hybrid genetic algorithm and bacterial foraging approach for global optimization Information Sciences 177 2007 3918 3937 (Pubitemid 46961984)
    • (2007) Information Sciences , vol.177 , Issue.18 , pp. 3918-3937
    • Kim, D.H.1    Abraham, A.2    Cho, J.H.3
  • 17
    • 27944498703 scopus 로고    scopus 로고
    • On the structure of generalized rough sets
    • DOI 10.1016/j.ins.2005.01.001, PII S0020025505000046
    • M. Kondo On the structure of generalized rough sets Information Sciences 176 2006 589 600 (Pubitemid 41668601)
    • (2006) Information Sciences , vol.176 , Issue.5 , pp. 589-600
    • Kondo, M.1
  • 18
    • 35748956126 scopus 로고    scopus 로고
    • Rough fuzzy approximations on two universes of discourse
    • DOI 10.1016/j.ins.2007.09.006, PII S0020025507004288, "Ambient Intelligence"
    • T. Li, and W. Zhang Rough fuzzy approximations on two universes of discourse Information Sciences 178 2008 892 906 (Pubitemid 350050972)
    • (2008) Information Sciences , vol.178 , Issue.3 , pp. 892-906
    • Li, T.-J.1    Zhang, W.-X.2
  • 20
    • 0035415091 scopus 로고    scopus 로고
    • Applications of rough genetic algorithms
    • P. Lingras, and C. Davies Applications of rough genetic algorithms Computational Intelligence 17 2001 435 445 (Pubitemid 32934015)
    • (2001) Computational Intelligence , vol.17 , Issue.3 , pp. 435-445
    • Lingras, P.1    Davies, C.2
  • 21
    • 77649336255 scopus 로고    scopus 로고
    • Invertible approximation operators of generalized rough sets and fuzzy rough sets
    • G. Liu, and Y. Sai Invertible approximation operators of generalized rough sets and fuzzy rough sets Information Sciences 180 2010 2221 2229
    • (2010) Information Sciences , vol.180 , pp. 2221-2229
    • Liu, G.1    Sai, Y.2
  • 22
    • 49849093407 scopus 로고    scopus 로고
    • The algebraic structures of generalized rough set theory
    • G. Liu, and W. Zhu The algebraic structures of generalized rough set theory Information Sciences 178 2008 4105 4113
    • (2008) Information Sciences , vol.178 , pp. 4105-4113
    • Liu, G.1    Zhu, W.2
  • 23
    • 36549024482 scopus 로고    scopus 로고
    • A weighted rough set based method developed for class imbalance learning
    • DOI 10.1016/j.ins.2007.10.002, PII S002002550700477X
    • J. Liu, Q. Hu, and D. Yu A weighted rough set based method developed for class imbalance learning Information Sciences 178 2008 1235 1256 (Pubitemid 350180903)
    • (2008) Information Sciences , vol.178 , Issue.4 , pp. 1235-1256
    • Liu, J.1    Hu, Q.2    Yu, D.3
  • 24
    • 33644603957 scopus 로고    scopus 로고
    • Fuzzy total transportation cost measures for fuzzy solid transportation problem
    • S. Liu Fuzzy total transportation cost measures for fuzzy solid transportation problem Applied Mathematics and Computation 174 2006 927 941
    • (2006) Applied Mathematics and Computation , vol.174 , pp. 927-941
    • Liu, S.1
  • 25
    • 45649084633 scopus 로고    scopus 로고
    • Generalized fuzzy rough sets determined by a triangular norm
    • J. Mi, Y. Leung, H. Zhao, and T. Feng Generalized fuzzy rough sets determined by a triangular norm Information Sciences 178 2008 3203 3213
    • (2008) Information Sciences , vol.178 , pp. 3203-3213
    • Mi, J.1    Leung, Y.2    Zhao, H.3    Feng, T.4
  • 26
    • 33750291345 scopus 로고    scopus 로고
    • A real-coding jumping gene genetic algorithm (RJGGA) for multiobjective optimization
    • DOI 10.1016/j.ins.2006.07.019, PII S0020025506001733
    • K. Nawaz Ripon, S. Kwong, and K. Man A real-coding jumping gene genetic algorithm (RJGGA) for multiobjective optimization Information Sciences 177 2007 632 654 (Pubitemid 44634453)
    • (2007) Information Sciences , vol.177 , Issue.2 , pp. 632-654
    • Nawaz Ripon, K.S.1    Kwong, S.2    Man, K.F.3
  • 27
    • 70350092328 scopus 로고    scopus 로고
    • A solid transportation problem for an item with fixed charge, vechicle cost and price discounted varying charge using genetic algorithm
    • A. Ojha, B. Das, S. Mondal, and M. Maiti A solid transportation problem for an item with fixed charge, vechicle cost and price discounted varying charge using genetic algorithm Applied Soft Computing 2010 100 110
    • (2010) Applied Soft Computing , pp. 100-110
    • Ojha, A.1    Das, B.2    Mondal, S.3    Maiti, M.4
  • 28
    • 77950020468 scopus 로고    scopus 로고
    • A stochastic discounted multi-objective solid transportation problem for breakable items using analytical hierarchy process
    • A. Ojha, B. Das, S. Mondal, and M. Maiti A stochastic discounted multi-objective solid transportation problem for breakable items using analytical hierarchy process Applied Mathematical Modelling 34 2010 2256 2271
    • (2010) Applied Mathematical Modelling , vol.34 , pp. 2256-2271
    • Ojha, A.1    Das, B.2    Mondal, S.3    Maiti, M.4
  • 32
    • 49849087384 scopus 로고    scopus 로고
    • Generalized rough sets based on reflexive and transitive relations
    • K. Qin, J. Yang, and Z. Pei Generalized rough sets based on reflexive and transitive relations Information Sciences 178 2008 4138 4141
    • (2008) Information Sciences , vol.178 , pp. 4138-4141
    • Qin, K.1    Yang, J.2    Pei, Z.3
  • 33
    • 0033889022 scopus 로고    scopus 로고
    • RST: A generalization of rough set theory
    • DOI 10.1016/S0020-0255(99)00075-4
    • M. Quafafou [α]-RST: A generalization of rough set theory Information Sciences 124 2000 301 316 (Pubitemid 30577735)
    • (2000) Information sciences , vol.124 , Issue.1 , pp. 301-316
    • Quafafou, M.1
  • 34
    • 0037332845 scopus 로고    scopus 로고
    • Fuzzy discretization of feature space for a rough set classifier
    • DOI 10.1016/S0167-8655(02)00201-5, PII S0167865502002015
    • A. Roy, and S. Pal Fuzzy discretization of feature space for a rough set classifier Pattern Recognition Letters 24 2003 895 902 (Pubitemid 35391806)
    • (2003) Pattern Recognition Letters , vol.24 , Issue.6 , pp. 895-902
    • Roy, A.1    Pal, S.K.2
  • 36
    • 84855420999 scopus 로고    scopus 로고
    • Medical differential diagnosis from the viewpoint of rough sets
    • S. Tsumoto Medical differential diagnosis from the viewpoint of rough sets Information Sciences 2007 28 34
    • (2007) Information Sciences , pp. 28-34
    • Tsumoto, S.1
  • 38
    • 34547829742 scopus 로고    scopus 로고
    • A bicriteria solid transportation problem with fixed charge under stochastic environment
    • DOI 10.1016/j.apm.2006.10.011, PII S0307904X06002526
    • L. Yang, and Y. Feng A bicriteria solid transportation problem with fixed charge under stochastic environment Applied Mathematical Modelling 31 2007 2668 2683 (Pubitemid 47244957)
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.12 , pp. 2668-2683
    • Yang, L.1    Feng, Y.2
  • 39
    • 70449102674 scopus 로고    scopus 로고
    • A new extension of fuzzy sets using rough sets: R-fuzzy sets
    • Y. Yang, and C. Hinde A new extension of fuzzy sets using rough sets: R-fuzzy sets Information Sciences 180 2010 354 365
    • (2010) Information Sciences , vol.180 , pp. 354-365
    • Yang, Y.1    Hinde, C.2
  • 40
    • 0001375356 scopus 로고    scopus 로고
    • Two views of the theory of rough sets in finite universes
    • PII S0888613X96000716
    • Y. Yao Two views of the theory of rough sets in finite universes International journal of approximate reasoning 15 1996 291 317 (Pubitemid 126414908)
    • (1996) International Journal of Approximate Reasoning , vol.15 , Issue.SPEC. ISS. 4 , pp. 291-317
    • Yao, Y.Y.1
  • 41
    • 0032147655 scopus 로고    scopus 로고
    • A comparative study of fuzzy sets and rough sets
    • Y. Yao A comparative study of fuzzy sets and rough sets Information Sciences 109 1998 227 242
    • (1998) Information Sciences , vol.109 , pp. 227-242
    • Yao, Y.1
  • 43
    • 70449130467 scopus 로고    scopus 로고
    • Three-way decisions with probabilistic rough sets
    • Y. Yao Three-way decisions with probabilistic rough sets Information Sciences 180 2010 341 353
    • (2010) Information Sciences , vol.180 , pp. 341-353
    • Yao, Y.1
  • 45
    • 25144487845 scopus 로고    scopus 로고
    • Characterizing solutions of rough programming problems
    • DOI 10.1016/j.ejor.2004.05.019, PII S037722170400400X, Balancing Assembly and Transfer Lines
    • E. Youness Characterizing solutions of rough programming problems European Journal of Operational Research 168 2006 1019 1029 (Pubitemid 41336608)
    • (2006) European Journal of Operational Research , vol.168 , Issue.3 , pp. 1019-1029
    • Youness, E.A.1
  • 46
    • 84939004610 scopus 로고    scopus 로고
    • Optimality and non-scalar-valued performance criteria
    • L. Zadeh Optimality and non-scalar-valued performance criteria Automatic Control, IEEE Transactions on 8 2002 59 60
    • (2002) Automatic Control, IEEE Transactions on , vol.8 , pp. 59-60
    • Zadeh, L.1
  • 48
    • 77958457896 scopus 로고    scopus 로고
    • Rough implication operator based on strong topological rough algebras
    • X. Zhang, Y. Yao, and H. Yu Rough implication operator based on strong topological rough algebras Information Sciences 2010
    • (2010) Information Sciences
    • Zhang, X.1    Yao, Y.2    Yu, H.3
  • 49
    • 0033114897 scopus 로고    scopus 로고
    • Genetic algorithm approach on multi-criteria minimum spanning tree problem
    • G. Zhou, and M. Gen Genetic algorithm approach on multi-criteria minimum spanning tree problem European Journal of Operational Research 114 1999 141 152
    • (1999) European Journal of Operational Research , vol.114 , pp. 141-152
    • Zhou, G.1    Gen, M.2
  • 50
    • 0036642693 scopus 로고    scopus 로고
    • The balanced allocation of customers to multiple distribution centers in the supply chain network: A genetic algorithm approach
    • DOI 10.1016/S0360-8352(02)00067-0, PII S0360835202000670
    • G. Zhou, H. Min, and M. Gen The balanced allocation of customers to multiple distribution centers in the supply chain network: a genetic algorithm approach Computers & Industrial Engineering 43 2002 251 261 (Pubitemid 34551911)
    • (2002) Computers and Industrial Engineering , vol.43 , Issue.1-2 , pp. 251-261
    • Zhou, G.1    Min, H.2    Gen, M.3
  • 51
    • 34548228836 scopus 로고    scopus 로고
    • Generalized rough sets based on relations
    • DOI 10.1016/j.ins.2007.05.037, PII S0020025507002733
    • W. Zhu Generalized rough sets based on relations Information Sciences 177 2007 4997 5011 (Pubitemid 47331457)
    • (2007) Information Sciences , vol.177 , Issue.22 , pp. 4997-5011
    • Zhu, W.1
  • 52
    • 55949128171 scopus 로고    scopus 로고
    • Relationship between generalized rough sets based on binary relation and covering
    • W. Zhu Relationship between generalized rough sets based on binary relation and covering Information Sciences 179 2009 210 225
    • (2009) Information Sciences , vol.179 , pp. 210-225
    • Zhu, W.1


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