Cyclic classes and an ergodic theorem in dynamic fuzzy systems

Fuzzy Sets and Systems

Volumn 95, Issue 2, 1998, Pages 189-199

  Yoshida, Yuji ^a  

^a UNIVERSITY OF KITAKYUSHU   (Japan)

Author keywords

Cyclic class; Dynamic fuzzy system; Ergodic theorem; Fuzzy relation; Recurrence

Indexed keywords

EID: 0009599855     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00303-X     Document Type: Article

References (10)

1. R.E. Bellman and L.A. Zadeh, Decision-making in a fuzzy environment, Management Sci. Ser B 17 (1970) 141-164.
2. K.L. Chung, Markov Chains with Stationary Transition Probabilities (Springer, Berlin, 1960).
3. M. Kurano, M. Yasuda, J. Nakagami and Y. Yoshida, A limit theorem in some dynamic fuzzy systems, Fuzzy Sets and Systems 51 (1992) 83-88.
4. D. Revuz, Markov Chains (North-Holland, New York, 1975).
5. M. Sugeno, Fuzzy measures and fuzzy integral: a survey, in: M.M. Gupta, G.N. Saridis and B.R. Gaines, Eds., Fuzzy Automata and Decision Processes (North-Holland, Amsterdam, 1977) 89-102.
6. Y. Yoshida, Markov chains with a transition possibility measure and fuzzy dynamic programming, Fuzzy Sets and Systems 66 (1994) 39-57.
7. Y. Yoshida, The recurrence of dynamic fuzzy systems, Fuzzy Sets and Systems, submitted.
8. Y. Yoshida, M. Yasuda, J. Nakagami and M. Kurano, A potential of fuzzy relations with a linear structure: the contractive case, Fuzzy Sets and Systems 60 (1993) 283-294.
9. Y. Yoshida, M. Yasuda, J. Nakagami and M. Kurano, A potential of fuzzy relations with a linear structure: the unbounded case, Fuzzy Sets and Systems 66 (1994) 83-95.
10. Y. Yoshida, M. Yasuda, J. Nakagami and M. Kurano, A limit theorem in some dynamic fuzzy systems with a monotone property, Fuzzy Sets and Systems 94 (1998) 109-119.