Solutions based on fuzzy goals in fuzzy linear programming games

Fuzzy Sets and Systems

Volumn 115, Issue 1, 2000, Pages 105-119

  Nishizaki, Ichiro ^a   Sakawa, Masatoshi ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Fuzzy goal; Fuzzy linear programming game; Linear programming problem with fuzzy parameters; Solution concepts based on fuzzy goals

Indexed keywords

EID: 0010321448     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(99)00028-7     Document Type: Article

References (17)

1. Bellman R.E., Zadeh L.A. Decision making in a fuzzy environment. Management Sci. 17:1970;209-215.
2. Curiel I. Cooperative Game Theory and Applications. 1997;Kluwer Academic Publishers, Dordrecht.
3. Dubey P., Shapley L.S. Totally balanced games arising from controlled programming problems. Math. Programming. 29:1984;245-267.
4. Engelbrecht-Wiggans R., Granot D. On market prices in linear production games. Math. Programming. 32:1985;366-370.
5. Granot D. A generalized linear production model: a unifying model. Math. Programming. 34:1986;212-222.
6. Hannan E.L. Linear programming with multiple fuzzy goals. Fuzzy Sets and Systems. 6:1981;235-248.
7. Kalai E., Zemel E. Generalized network problems yielding totally balanced games. Oper. Res. 30:1982;998-1008.
8. Maschler M., Potters J.A.M., Tijs S.H. The general nucleolus and the reduced game property. Internat. J. Game Theory. 21:1992;85-106.
9. Nishizaki I., Sakawa M. Fuzzy cooperative games arising from linear production programming problems with fuzzy parameters. Fuzzy Sets and Systems. 114:2000;11-21.
10. Owen G. On the core of linear production games. Math. Programming. 9:1975;358-370.
11. Owen G. Game Theory. 2nd ed. 1982;Academic Press, San Diego.
12. Sakawa M. Fuzzy Sets and Interactive Multiobjective Optimization. 1993;Plenum Press, New York.
13. Sakawa M., Nishizaki I. A solution concept based on fuzzy decision in. n -person cooperative games Trappl R. Cybernetics and Systems Research '92. 1992;423-430 World Scientific, Singapore.
14. Sakawa M., Yano H. An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters. Fuzzy Sets and Systems. 35:1990;125-142.
15. Schmeidler D. The nucleolus of a characteristic function. SIAM J. Appl. Math. 17:1969;1163-1170.
16. Sobolev A. The nucleolus for cooperative games with arbitrary bounds of individual rationality. Internat. J. Game Theory. 24:1995;13-22.
17. Steuer R.E. Multiple Criteria Iptimization. Theory, Computation and Application:1986;Wiley, New York.