Reconstructability analysis : theory and applications
Martin Zwick, Guangfu Shu, Yi Lin
A novel many-valued decomposition within the framework of lossless reconstructability analysis (RA) is presented. In previous work, modified reconstructability analysis (MRA) was applied to Boolean functions, where it was shown that most Boolean functions not decomposable using conventional reconstructability analysis (CRA) are decomposable using MRA. Also, it was previously shown that whenever decomposition exists in both MRA and CRA, MRA yields simpler or equal complexity decompositions. In this paper, MRA is extended to many-valued logic functions, and logic structures that correspond to such decomposition are developed. It is shown that many-valued MRA can decompose manyvalued functions when CRA fails to do so. Since real-life data are often many-valued, this new decomposition can be useful for machine learning and data mining. Many-valued MRA can also be applied for the decomposition of relations.
Năm:
2004
Nhà xuát bản:
Emerald Publishing Limited
Ngôn ngữ:
english
Trang:
212
ISBN 10:
1845443918
ISBN 13:
9781845443917
File:
PDF, 2.93 MB
IPFS:
,
english, 2004