R. Yager
tlooto Summary
It is suggested that fuzziness can be related to the lack of distinction between a set and its negation and the concept of compatibility is used to develop linguistic measures of fuzziness.
Abstract
We investigate the meaning of the concept of fuzziness. It is suggested that fuzziness can be related to the lack of distinction between a set and its negation. Using fuzzy subsets with grades of membership in the unit interval, measures of fuzziness are suggested. First, a class of measures based on metric distances is used to derive numeric measures of fuzziness of a fuzzy set. Finally, the concept of compatibility is used to develop linguistic measures of fuzziness.
Citation format
YAGER, R. ON THE MEASURE OF FUZZINESS AND NEGATION part i: Membership in the unit interval. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1979, 5: 221–229.