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What is Possibility Theory

Encyclopedia of Artificial Intelligence
A mathematical theory for dealing with certain types of uncertainty and is an alternative to probability theory. Professor Lotfi Zadeh first introduced possibility theory in 1978 as an extension of his theory of fuzzy sets and fuzzy logic.
Published in Chapter:
Managing Uncertainties in Interactive Systems
Qiyang Chen (Montclair State University, USA) and John Wang (Montclair State University, USA)
Copyright: © 2009 |Pages: 6
DOI: 10.4018/978-1-59904-849-9.ch153
Abstract
To adapt users’ input and tasks an interactive system must be able to establish a set of assumptions about users’ profiles and task characteristics, which is often referred as user models. However, to develop a user model an interactive system needs to analyze users’ input and recognize the tasks and the ultimate goals users trying to achieve, which may involve a great deal of uncertainties. In this chapter the approaches for handling uncertainty are reviewed and analyzed. The purpose is to provide an analytical overview and perspective concerning the major methods that have been proposed to cope with uncertainties.
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More Results
Handling Bipolar Queries in Fuzzy Information Processing
A theory of uncertainty dedicated to the gradual modeling of incomplete information, similar to probability theory, but where maximum and minimum is used in place of sum and product.
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Introduction and Trends to Fuzzy Logic and Fuzzy Databases
This theory is based on the idea that we can evaluate the possibility of a determinate variable X being (or belonging to) a determinate set or event A. Here, fuzzy sets are called possibility distributions and instead of measuring the membership degrees, they measure the possibility degrees. All the tools and properties defined for fuzzy sets are also applicable to possibility distributions.
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