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Hirota, K.; Pedrycz, W.

Analysis and synthesis of fuzzy systems by the use of probabilistic sets. (English) Zbl 0523.93007

Fuzzy Sets Syst. 10, 1-13 (1983).
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Cited in 8 Documents

MSC:

93A10 General systems
03E72 Theory of fuzzy sets, etc.
62H30 Classification and discrimination; cluster analysis (statistical aspects)
93B30 System identification
93E12 Identification in stochastic control theory
68T10 Pattern recognition, speech recognition
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)

Keywords:

fuzzy relational equation; probabilistic sets; unsupervised pattern recognition; model construction; vagueness functions
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References:

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[6] Gottwald, S., Set theory for fuzzy sets of higher level, Fuzzy Sets and Systems, 2, 125-151 (1979) · Zbl 0408.03042
[7] Hirota, K., Extended fuzzy expressions of probabilistic sets, (Gupta, M. M.; Radage, R. K.; Yager, R. R., Advances in Fuzzy Set Theory and Applications (1979), North-Holland: North-Holland New York), 201-214
[8] Hirota, K., Concepts of probabilistic sets, Fuzzy Sets and Systems, 5, 31-46 (1981) · Zbl 0442.60008
[9] Hirota, K.; Pedrycz, W., On identification of fuzzy systems under the existence of vagueness, (Summary of Papers on General Fuzzy Problems No. 6 (1980)), Tokyo · Zbl 0539.93079
[10] Hirota, K., α and ε operation in fuzzy systems, (Summary of Papers on General Fuzzy Problems No. 7 (1981)), Tokyo
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[12] Pedrycz, W., Analysis of fuzzy systems, Int. J. Control, 34, 403-421 (1981) · Zbl 0476.93011
[13] Pedrycz, W.; Hirota, K., Fuzzy-probabilistic algorithms in identification of fuzzy systems, (8th IFAC Congress, Kyoto, Vol. V (1981)), 52-56
[14] Pedrycz, W., Fuzzy relational equations with triangular norms and their resolutions, BUSEFAL, 11, 24-32 (1982) · Zbl 0498.04004
[15] Pedrycz, W., Fuzzy Control and Fuzzy Systems, (Report 14-82, Dept. of Mathematics (1982), Delft Univ. of Technology: Delft Univ. of Technology New York) · Zbl 0629.94032
[16] Sanchez, E., Resolution of composite fuzzy relation equation, Information and Control, 30, 38-48 (1976) · Zbl 0326.02048
[17] Sanchez, E., Solutions in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic, (Gupta, M. M.; Saridis, G. N.; Gaines, B. R., Fuzzy Automata and Decision Processes (1977), North-Holland), 221-234
[18] Tong, R. M., The construction and evaluation of fuzzy models, (Gupta, M. M.; Radage, R. K.; Yager, R. R., Advances in Fuzzy Set Theory and Applications (1979), North-Holland: North-Holland Amsterdam), 559-576
[19] Tsukamoto, Y.; Terano, T.; Kurosu, K.; Murayama, Y., Diagnosis of engine trouble by fuzzy logic, (Summar of Papers on General Fuzzy Problems No. 4 (1978)), Tokyo
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