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EUSFLAT
2009
131views Fuzzy Logic» more  EUSFLAT 2009»
13 years 2 months ago
Preservation of Properties of Interval-Valued Fuzzy Relations
The goal of this paper is to consider properties of the composition of interval-valued fuzzy relations which were introduced by L.A. Zadeh in 1975. Fuzzy set theory turned out to b...
Barbara Pekala
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
FSS
2008
80views more  FSS 2008»
13 years 5 months ago
Relations in Fuzzy Class Theory: : Initial steps
This paper studies fuzzy relations in the graded framework of Fuzzy Class Theory (FCT). This includes (i) rephrasing existing work on graded properties of binary fuzzy relations i...
Libor Behounek, Ulrich Bodenhofer, Petr Cintula
EUSFLAT
2003
13 years 6 months ago
On the preservation of monotonicity by extended mappings
Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings c...
Ulrich Bodenhofer
EUSFLAT
2003
146views Fuzzy Logic» more  EUSFLAT 2003»
13 years 6 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
EUSFLAT
2007
131views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Preservation of Graded Properties of Fuzzy Relations by Aggregation Functions
We study graded properties (α–properties) of fuzzy relations, which are parameterized versions of fuzzy relation properties defined by L.A. Zadeh. Namely, we take into account...
Urszula Dudziak
EUSFLAT
2007
106views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Valverde-Style Representation Results in a Graded Framework
This paper generalizes the well-known representations of fuzzy preorders and similarities according to Valverde to the graded framework of Fuzzy Class Theory (FCT). The results de...
Libor Behounek, Ulrich Bodenhofer, Petr Cintula
FUZZY
2004
Springer
126views Fuzzy Logic» more  FUZZY 2004»
13 years 10 months ago
Fuzzy Measures and Choquet Integral on Discrete Spaces
Abstract. This paper studies some relationships between fuzzy relations, fuzzy graphs and fuzzy measure. It is shown that a fundamental theorem of Discrete Convex Analysis is deriv...
Yasuo Narukawa, Vicenç Torra