Minimum and maximum fuzziness generalized operators

L. J. Rudas, M. O. Kaynak

Research output: Article

14 Citations (Scopus)

Abstract

New methods for constructing generalized triangular operators, using a minimum and maximum fuzziness approach are outlined. Based on the entropy of a fuzzy subset, defined by using the equilibrium of the generalized fuzzy complement, the concept of elementary entropy function and its generalizations are introduced. These functions assign a value to each element of a fuzzy subset that characterizes its degree of fuzziness. It is shown that these functions can be used to construct the entropy of a fuzzy subset. The new generalized T-norm and generalized T-conorms are defined as minimum and maximum entropy operations. They are commutative semigroup operations on [0,1] with identity elements but they are not monotonic.

Original languageEnglish
Pages (from-to)83-94
Number of pages12
JournalFuzzy Sets and Systems
Volume98
Issue number1
DOIs
Publication statusPublished - jan. 1 1998

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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