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What is Equivalence Class

Encyclopedia of Decision Making and Decision Support Technologies
Set of objects considered the same subject to an equivalence relation (e.g., those objects classified to x).
Published in Chapter:
Classification and Ranking Belief Simplex
Malcolm J. Beynon (Cardiff University, UK)
DOI: 10.4018/978-1-59904-843-7.ch009
Abstract
The classification and ranking belief simplex (CaRBS), introduced in Beynon (2005a), is a nascent technique for the decision problems of object classification and ranking. With its rudiments based on the Dempster- Shafer theory of evidence—DST (Dempster, 1967; Shafer, 1976), the operation of CaRBS is closely associated with the notion of uncertain reasoning. This relates to the analysis of imperfect data, whether that is data quality or uncertainty of the relationship of the data to the study in question (Chen, 2001). Previous applications which have employed the CaRBS technique include: the temporal identification of e-learning efficacy (Jones & Beynon, 2007) expositing osteoarthritic knee function (Jones, Beynon, Holt, & Roy, 2006), credit rating classification (Beynon, 2005b), and ranking regional long-term care systems (Beynon & Kitchener, 2005). These applications respectively demonstrate its use as a decision support system for academics, medical experts, credit companies, and governmental institutions.
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More Results
Incremental Discovery of Fuzzy Functional Dependencies
Given a set X and an class="highlight">equivalence relation ~ on X, the class="highlight">equivalence class of an element a in X is the subset of all elements in X that are equivalent to a.
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Rough Set Theory
Grouping of objects based on an indiscernibility relation.
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Object Classification Using CaRBS
A set of objects considered the same subject to an class="highlight">equivalence relation (e.g., those objects classified to x ).
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