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On a risk model with randomized dividend-decision times
Linear programming technique for solving interval-valued constraint matrix games
1. | School of Mathematics and Computing Sciences, Guilin University of Electronic Technology, Guilin 541004, China |
2. | School of Management, Fuzhou University, Fujian 350108, China |
References:
[1] |
C. R. Bector and S. Chandra, Fuzzy Mathematical Programming and Fuzzy Matrix Games, Springer Verlag, Berlin, 2005. |
[2] |
C. R. Bector, S. Chandra and V. Vijay, Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs, Fuzzy Sets and Systems, 146 (2004), 253-269.
doi: 10.1016/S0165-0114(03)00260-4. |
[3] |
C. R. Bector, S. Chandra and V. Vijay, Matrix games with fuzzy goals and fuzzy linear programming duality, Fuzzy Optimization and Decision Making, 4 (2004), 255-269. |
[4] |
L. Campos, Fuzzy linear programming models to solve fuzzy matrix games, Fuzzy Sets and Systems, 32 (1989), 275-289.
doi: 10.1016/0165-0114(89)90260-1. |
[5] |
K. W. Chau, Application of a PSO-based neural network in analysis of outcomes of construction claim, Automation in Construction, 16 (2007), 642-646.
doi: 10.1016/j.autcon.2006.11.008. |
[6] |
W. D. Collins and C. Y. Hu, Application of a PSO-based neural network in analysis of outcomes of construction claim, in Knowledge Processing with Interval and Soft Computing, (editors C. Y. Hu, et al.), Chapter 7, Springer, (2008), 1-19. |
[7] |
M. Dresher, Games of Strategy Theory and Applications, Prentice-Hall, New York, 1961. |
[8] |
D. Dubois and H. Prade, Fuzzy Sets and Systems Theory and Applications, Academic Press, New York, 1980. |
[9] |
A. Handan and A. Emrah, A graphical method for solving interval matrix games, Abstract and Applied Analysis, (2011), 1-18. |
[10] |
M. Hladík, Interval valued bimatrix games, Kybernetika, 46 (2010), 435-446. |
[11] |
M. Hladík, Support set invariancy for interval bimatrix games, the 7th EUROPT Workshop Advances in Continuous Optimization, EurOPT (2009), July 3-4, Remagen, German. |
[12] |
M. Larbani, Non cooperative fuzzy games in normal form: A survey, Fuzzy Sets and Systems, 160 (2009), 3184-3210.
doi: 10.1016/j.fss.2009.02.026. |
[13] |
D. F. Li, Fuzzy Multiobjective Many Person Decision Makings and Games, National Defense Industry Press, Bei Jing, 2003. |
[14] |
D. F. Li, Lexicographic method for matrix games with payoffs of triangular fuzzy numbers, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 16 (2008), 371-389.
doi: 10.1142/S0218488508005327. |
[15] |
D. F. Li, Mathematical-programming approach to matrix games with payoffs represented by Atanassov's interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems, 18 (2010), 1112-1128.
doi: 10.1109/TFUZZ.2010.2065812. |
[16] |
D. F. Li, Note on Linear programming technique to solve two person matrix games with interval pay-offs, Asia-Pacific Journal of Operational Research, 28 (2011), 705-737.
doi: 10.1142/S021759591100351X. |
[17] |
D. F. Li, Linear programming approach to solve interval-valued matrix games, Omega, 39 (2011), 655-666.
doi: 10.1016/j.omega.2011.01.007. |
[18] |
D. F. Li and C. T. Cheng, Fuzzy multiobjective programming methods for fuzzy constrained matrix games with fuzzy numbers, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 10 (2002), 385-400.
doi: 10.1142/S0218488502001545. |
[19] |
D. F. Li and J. X. Nan, A nonlinear programming approach to matrix games with payoffs of Atanassov's intuitionistic fuzzy sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17 (2009), 585-607.
doi: 10.1142/S0218488509006157. |
[20] |
D. F. Li, J. X. Nan and M. J. Zhang, Interval programming models for matrix games with interval payoffs, Optimization Methods and Software, 27 (2012), 1-16.
doi: 10.1080/10556781003796622. |
[21] |
S. T. Liu and C. Kao, Matrix games with interval data, Computers and Industrial Engineering, 56 (2009), 1697-1700.
doi: 10.1016/j.cie.2008.06.002. |
[22] |
C. L. Loganathan and M. S. Annie, Fuzzy game value of the interval matrix, International Journal of Engineering Research and Applications, 2 (2012), 250-255. |
[23] |
R. E. Moore, Method and Application of Interval Analysis, SIAM, Philadelphia, 1979. |
[24] |
J. X. Nan, D. F. Li and M. J. Zhang, A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers, International Journal of Computational Intelligence Systems, 3 (2010), 280-289.
doi: 10.2991/ijcis.2010.3.3.4. |
[25] |
P. K. Nayak and M. Pal, Linear programming technique to solve two person matrix games with interval pay-offs, Asia-Pacific Journal of Operational Research, 26 (2009), 285-305.
doi: 10.1142/S0217595909002201. |
[26] |
I. Nishizaki and M.Sakawa, Fuzzy and Multiobjective Games for Conflict Resolution, Springer Verlag, Berlin, 2001. |
[27] |
G. Owen, Game Theory, 2nd edition, Academic Press, New York, 1982. |
[28] |
V. N. Shashikhin, Antagonistic game with interval payoff functions, Cybernetics and Systems Analysis, 40 (2004), 556-564.
doi: 10.1023/B:CASA.0000047877.10921.d0. |
[29] |
L. J. Sun, Z. Y. Gao and Y. J. Wang, A Stackelberg game management model of the urban public transport, Journal of Industrial and Management Optimization, 8 (2012), 507-520.
doi: 10.3934/jimo.2012.8.507. |
[30] |
C. F. Wang and H. Yan, Optimal assignment of principalship and residual distribution for cooperative R and D, Journal of Industrial and Management Optimization, 8 (2012), 127-139. |
[31] |
Z. H. Wang, W. X. Xing and S. C. Fang, Two-person knapsack game, Journal of Industrial and Management Optimization, 6 (2010), 847-860.
doi: 10.3934/jimo.2010.6.847. |
show all references
References:
[1] |
C. R. Bector and S. Chandra, Fuzzy Mathematical Programming and Fuzzy Matrix Games, Springer Verlag, Berlin, 2005. |
[2] |
C. R. Bector, S. Chandra and V. Vijay, Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs, Fuzzy Sets and Systems, 146 (2004), 253-269.
doi: 10.1016/S0165-0114(03)00260-4. |
[3] |
C. R. Bector, S. Chandra and V. Vijay, Matrix games with fuzzy goals and fuzzy linear programming duality, Fuzzy Optimization and Decision Making, 4 (2004), 255-269. |
[4] |
L. Campos, Fuzzy linear programming models to solve fuzzy matrix games, Fuzzy Sets and Systems, 32 (1989), 275-289.
doi: 10.1016/0165-0114(89)90260-1. |
[5] |
K. W. Chau, Application of a PSO-based neural network in analysis of outcomes of construction claim, Automation in Construction, 16 (2007), 642-646.
doi: 10.1016/j.autcon.2006.11.008. |
[6] |
W. D. Collins and C. Y. Hu, Application of a PSO-based neural network in analysis of outcomes of construction claim, in Knowledge Processing with Interval and Soft Computing, (editors C. Y. Hu, et al.), Chapter 7, Springer, (2008), 1-19. |
[7] |
M. Dresher, Games of Strategy Theory and Applications, Prentice-Hall, New York, 1961. |
[8] |
D. Dubois and H. Prade, Fuzzy Sets and Systems Theory and Applications, Academic Press, New York, 1980. |
[9] |
A. Handan and A. Emrah, A graphical method for solving interval matrix games, Abstract and Applied Analysis, (2011), 1-18. |
[10] |
M. Hladík, Interval valued bimatrix games, Kybernetika, 46 (2010), 435-446. |
[11] |
M. Hladík, Support set invariancy for interval bimatrix games, the 7th EUROPT Workshop Advances in Continuous Optimization, EurOPT (2009), July 3-4, Remagen, German. |
[12] |
M. Larbani, Non cooperative fuzzy games in normal form: A survey, Fuzzy Sets and Systems, 160 (2009), 3184-3210.
doi: 10.1016/j.fss.2009.02.026. |
[13] |
D. F. Li, Fuzzy Multiobjective Many Person Decision Makings and Games, National Defense Industry Press, Bei Jing, 2003. |
[14] |
D. F. Li, Lexicographic method for matrix games with payoffs of triangular fuzzy numbers, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 16 (2008), 371-389.
doi: 10.1142/S0218488508005327. |
[15] |
D. F. Li, Mathematical-programming approach to matrix games with payoffs represented by Atanassov's interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems, 18 (2010), 1112-1128.
doi: 10.1109/TFUZZ.2010.2065812. |
[16] |
D. F. Li, Note on Linear programming technique to solve two person matrix games with interval pay-offs, Asia-Pacific Journal of Operational Research, 28 (2011), 705-737.
doi: 10.1142/S021759591100351X. |
[17] |
D. F. Li, Linear programming approach to solve interval-valued matrix games, Omega, 39 (2011), 655-666.
doi: 10.1016/j.omega.2011.01.007. |
[18] |
D. F. Li and C. T. Cheng, Fuzzy multiobjective programming methods for fuzzy constrained matrix games with fuzzy numbers, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 10 (2002), 385-400.
doi: 10.1142/S0218488502001545. |
[19] |
D. F. Li and J. X. Nan, A nonlinear programming approach to matrix games with payoffs of Atanassov's intuitionistic fuzzy sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17 (2009), 585-607.
doi: 10.1142/S0218488509006157. |
[20] |
D. F. Li, J. X. Nan and M. J. Zhang, Interval programming models for matrix games with interval payoffs, Optimization Methods and Software, 27 (2012), 1-16.
doi: 10.1080/10556781003796622. |
[21] |
S. T. Liu and C. Kao, Matrix games with interval data, Computers and Industrial Engineering, 56 (2009), 1697-1700.
doi: 10.1016/j.cie.2008.06.002. |
[22] |
C. L. Loganathan and M. S. Annie, Fuzzy game value of the interval matrix, International Journal of Engineering Research and Applications, 2 (2012), 250-255. |
[23] |
R. E. Moore, Method and Application of Interval Analysis, SIAM, Philadelphia, 1979. |
[24] |
J. X. Nan, D. F. Li and M. J. Zhang, A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers, International Journal of Computational Intelligence Systems, 3 (2010), 280-289.
doi: 10.2991/ijcis.2010.3.3.4. |
[25] |
P. K. Nayak and M. Pal, Linear programming technique to solve two person matrix games with interval pay-offs, Asia-Pacific Journal of Operational Research, 26 (2009), 285-305.
doi: 10.1142/S0217595909002201. |
[26] |
I. Nishizaki and M.Sakawa, Fuzzy and Multiobjective Games for Conflict Resolution, Springer Verlag, Berlin, 2001. |
[27] |
G. Owen, Game Theory, 2nd edition, Academic Press, New York, 1982. |
[28] |
V. N. Shashikhin, Antagonistic game with interval payoff functions, Cybernetics and Systems Analysis, 40 (2004), 556-564.
doi: 10.1023/B:CASA.0000047877.10921.d0. |
[29] |
L. J. Sun, Z. Y. Gao and Y. J. Wang, A Stackelberg game management model of the urban public transport, Journal of Industrial and Management Optimization, 8 (2012), 507-520.
doi: 10.3934/jimo.2012.8.507. |
[30] |
C. F. Wang and H. Yan, Optimal assignment of principalship and residual distribution for cooperative R and D, Journal of Industrial and Management Optimization, 8 (2012), 127-139. |
[31] |
Z. H. Wang, W. X. Xing and S. C. Fang, Two-person knapsack game, Journal of Industrial and Management Optimization, 6 (2010), 847-860.
doi: 10.3934/jimo.2010.6.847. |
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