Reasoning about generalized intervals: Horn representability and tractability

P Balbiani, JF Condotta… - … and Reasoning. TIME …, 2000 - ieeexplore.ieee.org
… In the context of generalized interval algebra as well, it is interesting to consider the … the
class of Horn representable relations between generalized intervals a simple characterization in …

[PDF][PDF] Visual Reasoning by Generalized Interval-values and Interval Temporal Logic.

B Nagy, S Vályi - VLL, 2007 - informatik.rwth-aachen.de
generalized intervals ([2],[7]). In these papers some logics of temporal relations between such
generalized intervals (that we call interval… to construct an interval-valued computing system …

Temporal Reasoning with Generalized Relations

G Kortüm - GWAI-91 15. Fachtagung für Künstliche Intelligenz …, 1991 - Springer
… In this paper we present an extension of existing interval based representations of time which
is … of plural intervals, ie sets of intervals. The main novelty is the definition of generalized

Possibility theory and statistical reasoning

D Dubois - Computational statistics & data analysis, 2006 - Elsevier
… also generalize the notion of confidence or prediction intervals… of maximally informative
interval substitutes of probabilistic … nested set of confidence intervals. Especially if M is a fuzzy …

Constraint reasoning based on interval arithmetic: the tolerance propagation approach

E Hyvönen - Artificial Intelligence, 1992 - Elsevier
… As a solution to these problems, I propose generalization from interval propagation into
division propagation. In this scheme one can propagate values immediately in the application …

Generalized intervals: A guided tour

G Ligozat - ECAI 1998, 1998 - hal.science
Generalized intervals are nite ordered sequences of time … why generalized intervals are good
candidates for reasoning … Finally, the strong theory of n-intervals (generalized intervals with …

[PDF][PDF] A new framework for reasoning about points, intervals and durations

AK Pujari, A Sattar - IJCAI, 1999 - ijcai.org
… We present a new framework for representation and reasoning about points, intervals and
durations-Point Interval Duration Network (PIDN). … Similarly, we can generalized the notion …

Modal intervals revisited part 1: A generalized interval natural extension

A Goldsztejn - 2008 - hal.science
… of the modal interval theory where generalized intervals were only introduced … generalized
intervals are defined which provide the same enhanced interpretations as the modal interval

Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning

H Bustince, P Burillo - Fuzzy Sets and Systems, 2000 - Elsevier
… We can generalize the operations between binary interval-valued fuzzy relations R; Q ∈
IVFR(X ×Y), using the t-norms and t-conorms in [0; 1]. For a t-norm ÿ and the t-conorm , we get …

Reasoning about generalized intervals

P Balbiani, JF Condotta, L Farinas del Cerro… - … , and Applications: 8th …, 1998 - Springer
generalized interval is a sequence of Allen intervals in the relation '~orecedes" Example 2
Let p >_ 1 and EQ be the interval … a generalized interval is a sequence of Allen intervals in the …