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THE NECESSITY OF THE STRONG α-CUTS OF A FUZZY SET

    https://doi.org/10.1142/S0218488501000788Cited by:44 (Source: Crossref)
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    Abstract

    Some aspects of the relationship between Goodman and Nguyen's one-point coverage interpretation of a fuzzy set and Zadeh's possibilistic interpretation are discussed. As a result of this, we derive a new interpretation of the strong α-cut of a normalized fuzzy set, namely that of being the most precise set we are sure to contain an unknown parameter with probability greater than or equal to 1-α.