A time-average fuzzy reward criterion in fuzzy decision processes

Information Sciences

Volumn 110, Issue 1-2, 1998, Pages 103-112

  Yoshida, Yuji ^a  

^a UNIVERSITY OF KITAKYUSHU   (Japan)

Author keywords

Average reward criterion; Decision theory; Dynamic programming; Fuzzy sets; Optimality equation; Relative value function

Indexed keywords

DECISION THEORY; DYNAMIC PROGRAMMING; FUNCTIONS;

AVERAGE REWARD CRITERION; OPTIMALITY EQUATION; RELATIVE VALUE FUNCTION;

FUZZY SETS;

EID: 0032162660     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-0255(97)10079-2     Document Type: Article

References (20)

1. R.E. Bellman, L.A. Zadeh, Decision-making in a fuzzy environment, Manag. Sci. Ser. B 17 (1970) 141-164.
2. J. Kacprzyk, P. Staniewski, Long-term inventory policy-making through fuzzy decision making models, Fuzzy Sets and Systems 8 (1982) 117-132.
3. J. Kacprzyk, Multistage Fuzzy Control, Wiley, New York, 1997.
4. M. Kurano, M. Yasuda, J. Nakagami, Y. Yoshida, Markov-type fuzzy decision processes with a discounted reward on a closed interval, European J. Oper. Res. 92 (1996) 649-662.
5. M. Kurano, M. Yasuda, J. Nakagami, Y. Yoshida, Fuzzy decision processes with an average reward criterion, submitted.
6. Y. Yoshida, Fuzzy decision processes with time-average fuzzy rewards, Proceedings of the NAFIPS, 1996, pp. 75-79.
7. L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965) 338-353.
8. V. Novák, Fuzzy Sets and Their Applications, Adam Hilger, Bristol, 1989.
9. C.-W. Xu, On convexity of fuzzy sets and fuzzy relations, Inform. Sci. 59 (1992) 92-102.
10. M.L. Puri, D. Ralescu, The concept of normality for fuzzy random variables, Ann. Probab. 13 (1985) 1373-1379.
11. D. Dubois, H. Prade, Systems of linear fuzzy constraints, Fuzzy Sets and Systems 3 (1980) 37-48.
12. M. Kurano, M. Yasuda, J. Nakagami, Y. Yoshida, A limit theorem in some dynamic fuzzy systems, Fuzzy Sets and Systems 51 (1992) 83-88.
13. Y. Yoshida, M. Yasuda, J. Nakagami, M. Kurano, A potential of fuzzy relations with a linear structure: The contractive case, Fuzzy Sets and Systems 60 (1993) 283-294.
14. Y. Yoshida, The recurrence of dynamic fuzzy systems, to appear in Fuzzy Sets and Systems.
15. S.M. Ross, Applied probability models with optimization applications, Holden-say, San Francisco, CA, 1970.
16. B. Schweizer, A. Sklar, Probabilistic Metric Spaces, North-Holland, Amsterdam, 1983.
17. D. Butnariu, E.P. Klement, Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Academic Publishers, Dordrecht, 1993.
18. M. Sugeno, Theory of fuzzy integrals and its applications, Doctoral Thesis, Tokyo Institute of Technology, 1974.
19. M. Yoneda, S. Fukami, M. Grabisch, Interactive determination of a utility function represented as a fuzzy integral, Inform. Sci. 71 (1993) 43-64.
20. Y. Yoshida, An optimal stopping problem in dynamic fuzzy systems with fuzzy rewards, Comput. Math. Appl. 32 (1996) 17-28.