Qualification of Fuzzy Statements Under Fuzzy Certainty

Authors:
A. González;N. Marín;O. Pons;M. A. Vila
Affiliations:
Dpto. Ciencias de la Computación e I.A., Universidad de Granada, 18071 Granada, Spain,;Dpto. Ciencias de la Computación e I.A., Universidad de Granada, 18071 Granada, Spain,;Dpto. Ciencias de la Computación e I.A., Universidad de Granada, 18071 Granada, Spain,;Dpto. Ciencias de la Computación e I.A., Universidad de Granada, 18071 Granada, Spain,
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

In many problems the information can be imprecise and uncertain simultaneously. Linguistic terms can be then used to represent each one of these aspects. In some applications it is desirable to combine imprecision and uncertainty into a single value which appropriately describes the original information. We propose a method to combine imprecision and uncertainty when they are expressed as trapezoidal fuzzy numbers and the final goal is to obtain a normalized fuzzy number. This property is very useful in several applications like flexible querying processes, where the linguistic label used in the query is always normalized.