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FUZZIEEE
2007
IEEE
13 years 11 months ago
On Complete Sublattices of the Algebra of Truth Values of Type-2 Fuzzy Sets
— The algebra of truth values of type-2 fuzzy sets contains isomorphic copies of the algebra of truth values of type1 fuzzy sets and the algebra of truth values of interval-value...
John Harding, Carol L. Walker, Elbert A. Walker
IFSA
2007
Springer
158views Fuzzy Logic» more  IFSA 2007»
13 years 11 months ago
Points with Type-2 Operations
The algebra of truth values for fuzzy sets of type-2, due to Zadeh, contains as subalgebras those of type-1 and of interval-valued fuzzy sets. It also contains many other interest...
Carol L. Walker, Elbert A. Walker
FSS
2008
94views more  FSS 2008»
13 years 4 months ago
Lattices of convex normal functions
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these f...
John Harding, Carol L. Walker, Elbert A. Walker
EUSFLAT
2007
140views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 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, ...
FSS
2006
140views more  FSS 2006»
13 years 4 months ago
Advances and challenges in interval-valued fuzzy logic
Among the various extensions to the common [0, 1]-valued truth degrees of "traditional" fuzzy set theory, closed intervals of [0, 1] stand out as a particularly appealin...
Chris Cornelis, Glad Deschrijver, Etienne E. Kerre