A fuzzy approach to data analysis. (English) Zbl 0776.94021

Fuzzy set theory is first presented as a theory providing us with concepts and methods to model a type of uncertainty and impreciseness that is not properly modeled by means of probabilistic or interval mathematics notions.
Then, after recalling some of the basic elements in fuzzy set theory, the author examines the problems of qualitative and quantitative analysis of fuzzy data. Thus, he first describes situations in which fuzziness in data must not be ignored for purposes of data analysis (like those of fuzzy similarity degree or degree of truth of a relation between two fuzzy sets, for qualitative analysis, or those of fuzzy expected value with respect to a fuzzy measure associated with a given functional relationship or the fuzzy grade of validity of that relationship given the fuzzy data for quantitative analysis).
Finally, an example is considered to illustrate the preceding ideas, some other related problems are indicated, and references to their studies are enclosed.
Reviewer: M.A.Gil (Oviedo)


94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
62H99 Multivariate analysis