Geodesic
Towards a linguistic description of dependencies in data
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 391-401.

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The problem of a linguistic description of dependencies in data by a set of rules Rk: "If X is Tk then Y is Sk" is considered, where Tk's are linguistic terms like SMALL, BETWEEN 5 AND 7 describing some fuzzy intervals Ak. Sk's are linguistic terms like DECREASING and QUICKLY INCREASING describing the slopes pk of linear functions yk=pkx +qk approximating data on Ak. The decision of this problem is obtained as a result of a fuzzy partition of the domain X on fuzzy intervals Ak, approximation of given data xi,yi, i=1,...,n by linear functions yk=pkx+qk on these intervals and by re-translation of the obtained results into linguistic form. The properties of the genetic algorithm used for construction of the optimal partition and several methods of data re-translation are described. The methods are illustrated by examples, and potential applications of the proposed methods are discussed.
Keywords: fuzzy approximation, linguistic term, fuzzy rule, genetic algorithm
Mots-clés : informatyka 
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     author = {Batyrshin, I. and Wagenknecht, M.},
     title = {Towards a linguistic description of dependencies in data},
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Batyrshin, I.; Wagenknecht, M. Towards a linguistic description of dependencies in data. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 391-401. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a7/