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» Relations in Fuzzy Class Theory: : Initial steps
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FSS
2008
80views more  FSS 2008»
13 years 4 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
IFSA
2007
Springer
119views Fuzzy Logic» more  IFSA 2007»
13 years 11 months ago
Topology in Fuzzy Class Theory: Basic Notions
In the formal and fully graded setting of Fuzzy Class Theory (or higher-order fuzzy logic) we make an initial investigation into basic notions of fuzzy topology. In particular we s...
Libor Behounek, Tomás Kroupa
EUSFLAT
2007
133views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Interior-Based Topology in Fuzzy Class Theory
Fuzzy topology based on interior operators is studied in the fully graded framework of Fuzzy Class Theory. Its relation to graded notions of fuzzy topology given by open sets and ...
Libor Behounek, Tomás Kroupa
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
GRC
2008
IEEE
13 years 5 months ago
Fuzzy Preference Relation Rough Sets
Preference analysis is a class of important tasks in multi-criteria decision making. The classical rough set theory was generalized to deal with preference analysis by replacing e...
Qinghua Hu, Daren Yu, Congxin Wu