| Title:
|
A categorical view at generalized concept lattices (English) |
| Author:
|
Krajči, Stanislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
255-264 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We continue in the direction of the ideas from the Zhang’s paper [Z] about a relationship between Chu spaces and Formal Concept Analysis. We modify this categorical point of view at a classical concept lattice to a generalized concept lattice (in the sense of Krajči [K1]): We define generalized Chu spaces and show that they together with (a special type of) their morphisms form a category. Moreover we define corresponding modifications of the image / inverse image operator and show their commutativity properties with mapping defining generalized concept lattice as fuzzifications of Zhang’s ones. (English) |
| Keyword:
|
fuzzy concept lattice |
| Keyword:
|
Chu space |
| Keyword:
|
category theory |
| MSC:
|
03G10 |
| MSC:
|
06D72 |
| MSC:
|
18D35 |
| MSC:
|
68T30 |
| idZBL:
|
Zbl 1132.06300 |
| idMR:
|
MR2343400 |
| . |
| Date available:
|
2009-09-24T20:23:30Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135771 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
