A Piecewise Linear Transformation Method based on SPMF and Its Application to Linguistic Approximation


The KIPS Transactions:PartB , Vol. 8, No. 4, pp. 351-356, Aug. 2001
10.3745/KIPSTB.2001.8.4.351,   PDF Download:

Abstract

We propose a piecewise linear transformation method (PLTM) based on the standardized parametric membership functions (SPMF). It is derived from the idea that the fuzzy sets represented with the non-parametric membership functions (NPMF) can be transformed into the fuzzy sets represented with the parametric membership functions (PMF) by using the PLTM. In this case, these parameters may be regarded as feature points for determining the structure of a fuzzy set. Thus, the PLTM enables fuzzy systems to be processed relatively fast by transforming the NPMF into the PMF when compared to fuzzy systems based on the NPMF. In the meantime, the typical shapes of the SPMF are introduced and analyzed. Finally, we present the typical application of the PLTM and show its numerical example.


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Cite this article
[IEEE Style]
D. Y. Choi, "A Piecewise Linear Transformation Method based on SPMF and Its Application to Linguistic Approximation," The KIPS Transactions:PartB , vol. 8, no. 4, pp. 351-356, 2001. DOI: 10.3745/KIPSTB.2001.8.4.351.

[ACM Style]
Dae Young Choi. 2001. A Piecewise Linear Transformation Method based on SPMF and Its Application to Linguistic Approximation. The KIPS Transactions:PartB , 8, 4, (2001), 351-356. DOI: 10.3745/KIPSTB.2001.8.4.351.