Journal ArticleDOI
Processing fuzzy temporal knowledge
D. DuBois,H. Prade +1 more
- Vol. 19, Iss: 4, pp 729-744
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TLDR
L.A. Zadeh's (1975) possibility theory is used as a general framework for modeling temporal knowledge pervaded with imprecision or uncertainty, and Deductive patterns of reasoning involving fuzzy and/or uncertain temporal knowledge are established.Abstract:
L.A. Zadeh's (1975) possibility theory is used as a general framework for modeling temporal knowledge pervaded with imprecision or uncertainty. Ill-known dates, time intervals with fuzzy boundaries, fuzzy durations, and uncertain precedence relations between events can be dealt with in this approach. An explicit representation (in terms of possibility distributions) of the available information, which may be neither precise nor certain, is maintained. Deductive patterns of reasoning involving fuzzy and/or uncertain temporal knowledge are established, and the combination of fuzzy partial pieces of information is considered. A scheduled example with fuzzy temporal windows is discussed. >read more
Citations
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Journal ArticleDOI
Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Didier Dubois,Henri Prade +1 more
TL;DR: This paper focuses on semantic approaches to approximate reasoning based on fuzzy sets, commonly exemplified by the generalized modus ponens, but also considers applications to current topics in Artificial Intelligence such as default reasoning and qualitative process modeling.
Journal ArticleDOI
Temporal reasoning based on semi-intervals
TL;DR: A generalization of Allen's interval-based approach to temporal reasoning is presented and the notion of ‘conceptual neighborhood’ of qualitative relations between events is central to the presented approach, using semi-intervals rather than intervals as the basic units of knowledge.
Book ChapterDOI
Fuzzy Interval Analysis
TL;DR: This chapter is an overview of past and present works dealing with fuzzy intervals and their operations, and contains a reasoned survey of methods for comparing and ranking fuzzy intervals.
Journal ArticleDOI
Possibility theory in constraint satisfaction problems: Handling priority, preference and uncertainty
TL;DR: This paper advocates the use of fuzzy sets and possibility theory as a realistic approach for the representation of these three aspects of Constraint Satisfaction Problems: preference relations among possible instantiations and priorities among constraints.
Book ChapterDOI
Possibilistic constraint satisfaction problems or How to handle soft constraints
TL;DR: In this paper, the authors formalize the notion of possibilistic constraint satisfaction problems and use a possibility distribution over labelings to represent respective possibilities of each labeling, allowing the modeling of uncertainly satisfied constraints.
References
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Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Journal ArticleDOI
Fuzzy sets as a basis for a theory of possibility
TL;DR: The theory of possibility described in this paper is related to the theory of fuzzy sets by defining the concept of a possibility distribution as a fuzzy restriction which acts as an elastic constraint on the values that may be assigned to a variable.
Journal Article
Maintaining knowledge about temporal intervals
TL;DR: An interval-based temporal logic is introduced, together with a computationally effective reasoning algorithm based on constraint propagation, which is notable in offering a delicate balance between space and time.
Journal ArticleDOI
Maintaining knowledge about temporal intervals
TL;DR: In this paper, an interval-based temporal logic is introduced, together with a computationally effective reasoning algorithm based on constraint propagation, which is notable in offering a delicate balance between time and space.
Towards a General Theory of Action and Time.
TL;DR: A formalism for reasoning about actions that is based on a temporal logic allows a much wider range of actions to be described than with previous approaches such as the situation calculus and a framework for planning in a dynamic world with external events and multiple agents is suggested.