H. J. Zimmermann. Results of empirical studies in fuzzy set theory. In: Applied General System Research (G. J. Klir, ed.) Plenum, New York, 1978, pp. 303--312. 7  Home/Search   Document Not in Database   Summary   Related Articles   Check

....defuzzification, and everywhere positive membership functions are capable of approximating any potential control function on a compact set to arbitrary accuracy. 2. One of the reasons why it is reasonable to choose ab for the Gammaoperation is that, according to the psychological literature [17,23], the functions min(a; b) and ab provide the best known description of what we humans actually understand the word and to mean. 3. As a particular case, we get a similar result for Gaussian membership functions: THEOREM [20] A methodology M for which f (a; b) ab, x is Gaussian, y is ....

H. J. Zimmermann, Results of empirical studies in fuzzy set theory, In: G. J. Klir, Ed., Applied General System Research (Plenum, N.Y., 1978) 303--312. 23

....context [Z75, pp. 225 226] Since then several 6 dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [BS84] or while analyzing commonsense reasoning [O77, Z78]) some of them were proposed on a more theoretical basis (see, e.g. DP80, KF88] A survey of such operations is given in [KQLFLKBR92] The natural properties of an Gammaoperation f are as follows: ffl First, since A B and B A mean the same, we must demand that f(a; b) f(b; a) for all a ....

H. J. Zimmermann. Results of empirical studies in fuzzy set theory. In: Applied General System Research (G. J. Klir, ed.) Plenum, N.Y., 1978, pp. 303--312. 17

....on the context [19, pp. 225 226] Since then several dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [3] or while analyzing commonsense reasoning [16, 20]) some of them were proposed on a more theoretical basis (see, e.g. 6, 8] A survey of such operations is given in [11] Definition 1. i) By a binary operation (or operation for short) we mean a function f(a; b) from [0; 1] Theta [0; 1] into [0,1] ii) A binary operation is called a ....

Zimmermann, H.(1978). Results of Empirical Studies in Fuzzy Set Theory. In: Applied General System Research (G. J. Klir, ed.) Plenum, N.Y.

....context [Z75, pp. 225 226] Since then several dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [BS84] or while analyzing commonsense reasoning [O77, Z78]) some of them were proposed on a more theoretical basis (see, e.g. DP80, KF88] A survey of such operations is given in [KQLFLKBR92] One of the most successful applications of this type of uncertainty representation is in the area of intelligent control. This area was first outlined by L. ....

H. J. Zimmermann. Results of empirical studies in fuzzy set theory. In: Applied General System Research (G. J. Klir, ed.) Plenum, N.Y., 1978, pp. 303--312.

No context found.

H. J. Zimmermann. Results of empirical studies in fuzzy set theory. In: Applied General System Research (G. J. Klir, ed.) Plenum, New York, 1978, pp. 303--312. 7

No context found.

H. J. Zimmermann, "Results of empirical studies in fuzzy set theory", in: Applied General System Research, ed. G. J. Klir, (Plenum, N.Y., 1978) pp. 303--312.

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