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FSS
2008
94views more  FSS 2008»
13 years 5 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
JMIV
1998
93views more  JMIV 1998»
13 years 5 months ago
Connectivity on Complete Lattices
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A non topological axiomatics has been proposed by Matheron and Serra. The present pa...
Jean Serra
CORR
2008
Springer
91views Education» more  CORR 2008»
13 years 5 months ago
Measure and integral with purely ordinal scales
We develop a purely ordinal model for aggregation functionals for lattice valued functions, comprising as special cases quantiles, the Ky Fan metric and the Sugeno integral. For m...
Dieter Denneberg, Michel Grabisch
ORDER
2002
107views more  ORDER 2002»
13 years 5 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
RTA
1993
Springer
13 years 9 months ago
Bi-rewriting, a Term Rewriting Technique for Monotonic Order Relations
We propose an extension of rewriting techniques to derive inclusion relations a ⊆ b between terms built from monotonic operators. Instead of using only a rewriting relation ⊆ â...
Jordi Levy, Jaume Agustí-Cullell