IJAR
2008
13 years 11 months ago
2008
As is well-known, residuated lattices (RLs) on the unit interval correspond to leftcontinuous t-norms. Thus far, a similar characterization has not been found for RLs on the set o...
IJAR
2008
13 years 11 months ago
2008
This paper reviews probabilistic approaches to rough sets in granulation, approximation, and rule induction. The Shannon entropy function is used to quantitatively characterize pa...
IJAR
2008
13 years 11 months ago
2008
Linear constraints occur naturally in many reasoning problems and the information that they represent is often uncertain. There is a difficulty in applying AI uncertainty formalis...
IJAR
2008
13 years 11 months ago
2008
We present Bayesian updating of an imprecise probability measure, represented by a class of precise multidimensional probability measures. Choice and analysis of our class are mot...
IJAR
2008
13 years 11 months ago
2008
IJAR
2008
13 years 11 months ago
2008
Using Shafer and Vovk's game-theoretic framework for probability, we derive a capital asset pricing model from an efficient market hypothesis, with no assumptions about the b...
IJAR
2008
13 years 11 months ago
2008
There is a well-recognised need in diverse applications for reasoning with multiple, potentially inconsistent sources of information. One approach is to represent each source of i...
IJAR
2008
13 years 11 months ago
2008
This paper investigates probabilistic logics endowed with independence relations. We review propositional probabilistic languages without and with independence. We then consider g...
IJAR
2008
13 years 11 months ago
2008
IJAR
2008
13 years 11 months ago
2008
This paper presents new techniques for performing logical operations on type-2 fuzzy sets. These techniques make significant use of geometric methods to give, for the first time, ...