×

zbMATH — the first resource for mathematics

A linear regression model using triangular fuzzy number coefficients. (English) Zbl 0931.62055
Summary: Fuzzy regression analysis using fuzzy linear models with symmetric triangular fuzzy number coefficients has been formulated earlier. The goal of this regression is to find the coefficients of a prposed model for all given input-output data sets. In this paper, we extend the results of a fuzzy linear regression model that uses symmetric triangular coefficients to one with non-symmetric fuzzy triangular coefficients. This work eradicates the inflexibility of existing fuzzy linear regression models.

MSC:
62J05 Linear regression; mixed models
62J99 Linear inference, regression
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] ()
[2] Mamdani, E., Application of fuzzy algorithms for control of simple dynamic plant, (), 1585-1588 · Zbl 1253.78014
[3] ()
[4] Ross, T.J., Fuzzy logic with engineering applications, (1995), McGraw-Hill New York · Zbl 0855.93003
[5] Tanaka, H.; Vejima, S.; Asai, K., Linear regression analysis with fuzzy model, IEEE trans. systems man cybernet., 12, 6, 903-907, (1982) · Zbl 0501.90060
[6] Yager, R.R., Robot planning with fuzzy sets, Robotica 1, 1, 41-50, (1983)
[7] Yen, K.K.; Ghoshray, S., Fuzzy regression analysis for prediction in complex economic environment, () · Zbl 0931.62055
[8] Zadeh, L., Fuzzy sets, Inform. control, 8, 338-353, (1965) · Zbl 0139.24606
[9] Zadeh, L.A., Fuzzy sets as a basis for a theory of possibility, Fuzzy sets and systems, 1, 3-28, (1978) · Zbl 0377.04002
[10] Zimmermann, H.J., Fuzzy set theory — and its applications, (1985), Kluwer Dordrecht · Zbl 0578.90095
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.