Abstract
Fuzzy set theory, specifically fuzzy number arithmetic and the extension principle, is employed to utilize imprecise data in a geostatistical analysis. This formulation is an alternative of soft kriging. Imprecise data are defined as fuzzy numbers and lead to fuzzy experimental and fuzzy theoretical variograms. Then a fuzzy geostatistical operation termed fuzzy kriging type 3, is performed and the kriged estimates are represented as fuzzy numbers. The width of the fuzzy kriged estimate is interpreted as an uncertainty measure which depends on the data and characterizes local inhomogeniety. The estimation variance is also a fuzzy number. The illustrative example refers to permeability field predictions for a soil liner, a typical case where imprecise measurement data may be available and should be utilized.
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