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EUSFLAT
2009
144views Fuzzy Logic» more  EUSFLAT 2009»
13 years 2 months ago
Number-free Mathematics Based on T-norm Fuzzy Logic
Abstract--The paper presents a form of rendering classical mathematical notions by formal theories over suitable t-norm fuzzy logics in such a way that references to real numbers a...
Libor Behounek
FSS
2008
88views more  FSS 2008»
13 years 4 months ago
Solution of a system of linear equations with fuzzy numbers
The paper deals with a solution of a fuzzy interval system of linear equations, i.e. a system in which fuzzy intervals (numbers) appear instead of crisp numbers. We obtain general...
Rostislav Horcík
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
EUSFLAT
2007
133views Fuzzy Logic» more  EUSFLAT 2007»
13 years 5 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 5 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
EUSFLAT
2007
105views Fuzzy Logic» more  EUSFLAT 2007»
13 years 5 months ago
Fuzzy Class Theory: Some Advanced Topics
The goal of this paper is to push forward the development of the apparatus of the Fuzzy Class theory. We concentrate on three areas: strengthening the universal quantifier, forma...
Petr Cintula, Rostislav Horcík
IFSA
2007
Springer
119views Fuzzy Logic» more  IFSA 2007»
13 years 10 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