Method based on weighted possibility mean for solving matrix gameswith payoffs of intuitionistic trapezoidal fuzzy numbers

Kongzhi yu Juece/Control and Decision

Volumn 27, Issue 8, 2012, Pages

  Wan, Shu Ping ^a   Zhang, Xiao Lu ^a  

^a JIANGXI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Bi objective programming; Inebreak intuitionistic fuzzy set; Intuitionistic trapezoidal fuzzy number; Matrix game; Possibility mean

Indexed keywords

BI OBJECTIVES; INTUITIONISTIC FUZZY SETS; INTUITIONISTIC TRAPEZOIDAL FUZZY NUMBER; MATRIX GAME; POSSIBILITY MEAN;

COMPUTER SIMULATION; CONTROL;

FUZZY RULES;

EID: 84867050763     PISSN: 10010920     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Bector C R, Chandra S, Vijay V. Matrix games with fuzzy goals and fuzzy linear programming duality[J]. Fuzzy Optimization and Decision Making, 2004, 3(3): 255-269.
2. Bector C R, Chandra S, Vijay V. Duality in linear programming with fuzzy parameters and matrix games with fuzzy payoffs[J]. Fuzzy Sets and Systems, 2004, 146(2): 253-269.
3. Li Deng-feng. Lexicographic method for matrix games with payoffs of triangular fuzzy numbers[J]. Int J of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008, 16(3): 371-389.
4. Li Deng-feng, Nan Jiang-xia. A nonlinear programming approach to matrix games with payoffs of Atanassov's intuitionistic fuzzy sets[J]. Int J of Uncertainty, Fuzziness and Knowledge-based Systems, 2009, 17(4): 585-607.
5. Vijay V, Chandra S, Bector C E. Matrix games with fuzzy goals and fuzzy payoffs[J]. Omega, 2005, 33(5): 425-429.
6. Nan J X, Li D F, Zhang M J. Linear programming approach to matrix games with payoffs of interval-valued intuitionistc fuzzy sets[J]. Control and Decision, 2010, 25(9): 1318-1323.
7. Nan Jiang-xia, Li Deng-feng, Zhang Mao-jun. A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy[J]. Int J of Computational Intelligence Systems, 2010, 3(9): 280-289.
8. Wang J Q, Zhang Z. Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multicriteria decision making problems[J]. J of Systems Engineering and Electronics, 2009, 20(2): 321-326.
9. Wei G W. Some arithmetic aggregation operators with intuitionistic trapezoidal fuzzy numbers and their application to group decision making[J]. J of Computer, 2010, 5(3): 345-351.
10. Wan S P, Dong J Y. Method of intuitionistic trapezoidal fuzzy number for multi-attribute group decision[J]. Control and Decision, 2010, 25(5): 773-776.
11. Atanassov K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1): 87-96.
12. Robert Fullera, Peter Majlender. On weighted possibilistic mean and variance of fuzzy numbers[J]. Fuzzy Sets and Systems, 2003, 136(3): 363-374.
13. Zhang Wei-guo, Zhang Xi-li, Xiao Wei-lin, et al. Portfolio selection under possibilistic mean-variance utility and a SMO algorithm[J]. European J of Operational Research, 2009, 197(2): 693-700.