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» On interval fuzzy negations
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TFS
2008
112views more  TFS 2008»
13 years 7 months ago
Gradual Numbers and Their Application to Fuzzy Interval Analysis
Abstract-- We introduce a new way of looking at fuzzy intervals. Instead of considering them as fuzzy sets, we see them as crisp sets of entities we call gradual (real) numbers. Th...
Jérôme Fortin, Didier Dubois, H&eacut...
EUSFLAT
2009
262views Fuzzy Logic» more  EUSFLAT 2009»
13 years 5 months ago
Type-2 Fuzzy Arithmetic using Alpha-planes
Abstract-- This paper examines type-2 fuzzy arithmetic using interval analysis. It relies heavily on alpha-cuts and alpha-planes. Furthermore, we discuss the use of quasi type-2 fu...
Hussam Hamrawi, Simon Coupland
EUSFLAT
2003
101views Fuzzy Logic» more  EUSFLAT 2003»
13 years 9 months ago
Generalized negations and intuitionistic fuzzy sets - a criticism to a widely used terminology
Intuitionistic Fuzzy Sets Theory is based on a wrong nominalistic (terminological) assumption. It is defined as “intuitionistic” a negation which does not satisfy usual prope...
Gianpiero Cattaneo, Davide Ciucci
ISCI
2007
138views more  ISCI 2007»
13 years 7 months ago
Uncertainty measures for interval type-2 fuzzy sets
Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewn...
Dongrui Wu, Jerry M. Mendel
FSS
2007
79views more  FSS 2007»
13 years 7 months ago
On the characterizations of (S, N)-implications
The characterization of S-implications generated from strong negations presented firstly by Trillas and Valverde in 1985 is wellknown in the literature. In this paper we show tha...
Michal Baczynski, Balasubramaniam Jayaram