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Factor spaces theory and its applications to fuzzy information processing: Two kinds of factor space canes

✍ Scribed by Hongxing Li; C.L.Phillip Chen; Vincent C. Yen; E.S. Lee

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
503 KB
Volume
40
Category
Article
ISSN
0898-1221

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✦ Synopsis

Factor space canes are discussed in details in this paper. First, naive thoughts of factor space canes are subscribed in order to have a clear notions about factor spaces and factor space canes. Second, melon-type factor space canes and chain-type factor space canes, two kinds of factor space canes, are introduced. Then switch factors and their growth relation are considered. At last, class partition and class concepts are studied that play important role on multifactorial fuzzy decision-making and representation of knowledge. (~ 2000 Elsevier Science Ltd. All rights reserved.

Keywords--Factor spaces, Factor space canes, Melon-type factor space canes, Chain-type factor space canes, Switch factors.

1. NAIVE THOUGHTS OF FACTOR SPACE CANES

Factor spaces [1] can offer a mathematical frame of describing objective things and concepts.

However, from the viewpoint of applications, as every mathematical tool has its limitation, factor spaces have also certain limitation. For example, for any factors f and g, f and g cannot always be permitted in the same factor space. Assuming f = lifeness and g --sex, if f and g can be put Project supported by the National Science Foundation of China.

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