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Diamond, Phil

Fuzzy least squares. (English) Zbl 0663.65150

Inf. Sci. 46, No. 3, 141-157 (1988).
The author discusses three models of fuzzy linear regression function for triangular fuzzy numbers [Fuzzy numbers with triangular shapes, cf. D. Dubois and H. Prade, Int. J. Syst. Sci. 9, 613-626 (1978; Zbl 0383.94045)]. Formulas are deduced by the least-squares method.
Reviewer: J.Drewniak

Cited in 8 Reviews
Cited in 172 Documents

MSC:

65C99 Probabilistic methods, stochastic differential equations
62J05 Linear regression; mixed models
03E72 Theory of fuzzy sets, etc.

Keywords:

fuzzy linear regression; triangular fuzzy numbers; least-squares method

Citations:

Zbl 0383.94045
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\textit{P. Diamond}, Inf. Sci. 46, No. 3, 141--157 (1988; Zbl 0663.65150)
Full Text: DOI

References:

[1] Bellman, R. E.; Zadeh, L. A., Decision-making on a fuzzy environment, Management Sci., 17, B141-B164 (1971) · Zbl 0224.90032
[2] Dubois, D.; Prade, H., Fuzzy Sets and Systems: Theory and Applications (1980), Academic: Academic New York · Zbl 0444.94049
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[15] Diamond, P., Least squares fitting of several fuzzy variables, (Proceedings of the 2nd IFSA Congress. Proceedings of the 2nd IFSA Congress, Tokyo (July 1987))
[16] Ch’en, S. H., Operations on fuzzy numbers with function principle, Tamkang J. Management Sci., 6, 13-25 (1985), (MR 87a:03088).
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