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» Type-2 implications on non-interactive fuzzy truth values
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FSS
2008
122views more  FSS 2008»
13 years 4 months ago
Type-2 implications on non-interactive fuzzy truth values
In this paper we consider algebras of fuzzy truth values equipped with an implication operation. Generalizing the definition of type-1 fuzzy implications, we discuss extended fuzz...
Zsolt Gera, József Dombi
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
124views more  FSS 2008»
13 years 4 months ago
Exact calculations of extended logical operations on fuzzy truth values
In this paper we propose computationally simple, pointwise formulas for extended t-norms and t-conorms on fuzzy truth values. The complex convolutions of the extended operations a...
Zsolt Gera, József Dombi
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