Membership Functions II: Trends in Fuzziness and Implications
byJuan Carlos Santamarina And Jean-Lou Chameau
Santamarina, J. C. and Chameau, J. L. (1987b). "Membership Functions II: Trends in Fuzziness and Implications." International Journal of Approximate Reasoning, Vol. 1, pp. 303-317
Results from a set of questionnaires designed to compare methods of obtaining membership functions were analyzed to identify general trends in fuzziness. It was found that fuzziness in comprehension is ahvays reflected in the answer; concepts such as
difficulty, imprecision, and shape of membership functions are clearly interrelated; and the transition between crisp extremes through fuzziness has characteristic manifestations. Emphasis is placed on the practical implications of these ideas, applications
include developing standard and type H fuzzy sets, improving the completeness and consistency of available data, and supporting the development of knowledge-based systems using fuzzy sets.