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» A natural interpretation of fuzzy sets and fuzzy relations
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FSS
2002
88views more  FSS 2002»
13 years 4 months ago
A natural interpretation of fuzzy sets and fuzzy relations
We present a new and natural interpretation of fuzzy sets and fuzzy relations where the basic notions and operations have quite natural meanings. We interpret fuzzy sets and fuzzy...
Mamoru Shimoda
EUSFLAT
2007
105views Fuzzy Logic» more  EUSFLAT 2007»
13 years 5 months ago
Representing Incomplete Knowledge about Fuzzy Sets
This paper deals with interval-valued fuzzy sets and I-fuzzy sets, Atanassov's intuitionistic fuzzy sets. They are treated in a systematic way as two, formally equivalent, na...
Maciej Wygralak
EUSFLAT
2003
146views Fuzzy Logic» more  EUSFLAT 2003»
13 years 5 months ago
Cut equivalence of fuzzy relations
Fuzzy relations on the same domain are classified according to the equality of families of cut sets. This equality of fuzzy relations is completely characterized, not only for un...
Branimir Seselja, Andreja Tepavcevic
SLOGICA
2008
135views more  SLOGICA 2008»
13 years 4 months ago
A Way to Interpret Lukasiewicz Logic and Basic Logic
Fuzzy logics are in most cases based on an ad-hoc decision about the interpretation of the conjunction. If they are useful or not can typically be found out only by testing them wi...
Thomas Vetterlein
FSS
2010
97views more  FSS 2010»
13 years 2 months ago
An early approach toward graded identity and graded membership in set theory
The paper considers an early approach toward a (fuzzy) set theory with a graded membership predicate and a graded equality relation which had been developed by the German mathemat...
Siegfried Gottwald