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FSS
2010
98views more  FSS 2010»
13 years 11 months ago
On the distributivity of fuzzy implications over representable uninorms
Recently, many works have appeared dealing with the distributivity of fuzzy implications over t-norms, tconorms and uninorms (see [2, 3, 4, 5, 12, 13, 14]). These equations have a...
Michal Baczynski
FSS
2010
81views more  FSS 2010»
13 years 11 months ago
QL-implications: Some properties and intersections
In this paper, we attempt a systematic study of QL-implications. Towards this end, firstly, we investigate the conditions under which a QL-operation becomes a fuzzy implication w...
Michal Baczynski, Balasubramaniam Jayaram
FSS
2008
143views more  FSS 2008»
14 years 15 days ago
On the first place antitonicity in QL-implications
In order to obtain a demanded fuzzy implication, a number of properties have been proposed, among which the first place antitonicity, the second place monotonicity and the boundar...
Yun Shi, Bart Van Gasse, Da Ruan, Etienne E. Kerre
FSS
2008
117views more  FSS 2008»
14 years 15 days ago
(S, N)- and R-implications: A state-of-the-art survey
In this work we give a state-of-the-art review of two of the most established classes of fuzzy implications, viz., (S, N)- and R-implications. Firstly, we discuss their properties...
Michal Baczynski, Balasubramaniam Jayaram
EUSFLAT
2007
128views Fuzzy Logic» more  EUSFLAT 2007»
14 years 1 months ago
Intersections Between Basic Families of Fuzzy Implications: (S, N)-, R- and QL-Implications
In this work, our primary focus is to determine the intersections that exist between the family of QL-implications and the families of (S, N)- and R-implications. Toward this end,...
Balasubramaniam Jayaram, Michal Baczynski
ICAISC
2010
Springer
14 years 5 months ago
On the Distributivity of Fuzzy Implications over Continuous Archimedean Triangular Norms
Recently, the distributivity of fuzzy implications over t-norms, t-conorms and uninorms was studied in many articles. In this paper we characterize functions which satisfy one of ...
Michal Baczynski