Abstract
AbstractOn the basis of H.Weyl's and E.Wigners's theories there is constructed the fuzzy model of canonically conjugate fuzzy subsets. On the ground of introduced characteristic interval the optimal shape of information function is obtained. By this information function the formula for compatibility function is obtained, Φ(α /2), where is a parameter assigned by expert, Φ(·) is probability interval. We establish the connection between the dispersions of canonically conjugate fuzzy subsets, presented in the fuzzy form. On the base of this formula the generalized information theory is constructed, which enable to estimate the constant c. As an example it is considered the method of fuzzy differential equation solution. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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