| Title:
|
Calculations of graded ill-known sets (English) |
| Author:
|
Inuiguchi, Masahiro |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
216-233 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
To represent a set whose members are known partially, the graded ill-known set is proposed. In this paper, we investigate calculations of function values of graded ill-known sets. Because a graded ill-known set is characterized by a possibility distribution in the power set, the calculations of function values of graded ill-known sets are based on the extension principle but generally complex. To reduce the complexity, lower and upper approximations of a given graded ill-known set are used at the expense of precision. We give a necessary and sufficient condition that lower and upper approximations of function values of graded ill-known sets are obtained as function values of lower and upper approximations of graded ill-known sets. (English) |
| Keyword:
|
ill-known set |
| Keyword:
|
lower approximation |
| Keyword:
|
upper approximation |
| MSC:
|
03E72 |
| MSC:
|
26E25 |
| MSC:
|
68T37 |
| idZBL:
|
Zbl 1296.03030 |
| idMR:
|
MR3216991 |
| DOI:
|
10.14736/kyb-2014-2-0216 |
| . |
| Date available:
|
2014-06-06T14:43:10Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143790 |
| . |
| Reference:
|
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| Reference:
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| . |
