Bernhard Moser, Erich Klement,
"On the redundancy of fuzzy partitions"
, in Fuzzy Sets and Systems, Vol. 85, Seite(n) 195-201, 1997, ISSN: 0165-0114
Original Titel:
On the redundancy of fuzzy partitions
Sprache des Titels:
Englisch
Englische Kurzfassung:
We introduce a concept of redundancy for a family of fuzzy subsets, based on a left continuous t-norm and its corresponding residual operator, and study its basic properties, including a characterization of families with redundancy zero in some important special cases. Examples illustrate that, in the case of t-norms with zero divisors, several definitions for fuzzy partitions from the literature are insensitive to the phenomenon of redundancy. Finally, a geometric interpretation of the redundancy based on the Lukasiewicz t-norm and an upper bound for its value are given.
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