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» Interval Arithmetic with Containment Sets
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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
FSS
2008
88views more  FSS 2008»
13 years 7 months ago
Solution of a system of linear equations with fuzzy numbers
The paper deals with a solution of a fuzzy interval system of linear equations, i.e. a system in which fuzzy intervals (numbers) appear instead of crisp numbers. We obtain general...
Rostislav Horcík
ARITH
2005
IEEE
14 years 1 months ago
Guaranteed Proofs Using Interval Arithmetic
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...
Marc Daumas, Guillaume Melquiond, César Mu&...
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 7 months ago
An Analysis of Arithmetic Constraints on Integer Intervals
Arithmetic constraints on integer intervals are supported in many constraint programming systems. We study here a number of approaches to implement constraint propagation for thes...
Krzysztof R. Apt, Peter Zoeteweij
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 7 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...