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» A Fuzzy Formal Logic for Interval-valued Residuated Lattices
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EUSFLAT
2007
140views Fuzzy Logic» more  EUSFLAT 2007»
13 years 5 months ago
A Fuzzy Formal Logic for Interval-valued Residuated Lattices
Fuzzy formal logics were introduced in order to handle graded truth values instead of only ‘true’ and ‘false’. A wide range of such logics were introduced successfully, li...
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...
ISCI
2010
100views more  ISCI 2010»
13 years 2 months ago
Filters of residuated lattices and triangle algebras
An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to...
Bart Van Gasse, Glad Deschrijver, Chris Cornelis, ...
IFSA
2007
Springer
159views Fuzzy Logic» more  IFSA 2007»
13 years 10 months ago
Counting Finite Residuated Lattices
We study finite residuated lattices with up to 11 elements. We present an algorithm for generating all non-isomorphic finite residuated lattices with a given number of elements. ...
Radim Belohlávek, Vilém Vychodil
APAL
2004
111views more  APAL 2004»
13 years 4 months ago
Concept lattices and order in fuzzy logic
The theory of concept lattices (i.e. hierarchical structures of concepts in the sense of Port-Royal school) is approached from the point of view of fuzzy logic. The notions of par...
Radim Belohlávek
FSS
2008
87views more  FSS 2008»
13 years 4 months ago
Triangle algebras: A formal logic approach to interval-valued residuated lattices
In this paper, we introduce triangle algebras: a variety of residuated lattices equipped with approximation operators, and with a third angular point u, different from 0
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...