Volume 11, Issue 3 pp. 113-147

Knowledge acquisition by random sets

Xiantu T. Peng

Corresponding Author

Xiantu T. Peng

Adobe Systems, Inc., Mountain View, California 94039

Adobe Systems, Inc., Mountain View, California 94039Search for more papers by this author
Peizhuang Wang

Peizhuang Wang

Institute of System Science, University of Singapore, Kent Ridge, Singapore 0511

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Abraham Kandel

Abraham Kandel

Department of Computer Science and Engineering, University of South Florida, Tampa, Florida 33620

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Abstract

In this article we investigate knowledge acquisition (KA) and its relationships to random sets. Based on random set theory, we develop some estimation theorems and procedures for set-valued statistics such as nonparametric estimators. Under random interval assumption, we establish some special possibility distributions that can be easily implemented in KA tools. The knowledge studied here are rules describing relationships between various concepts, as used in diagnosis (pattern recognition) expert systems. © 1996 John Wiley & Sons, Inc.

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