| Title:
|
Left and right semi-uninorms on a complete lattice (English) |
| Author:
|
Su, Yong |
| Author:
|
Wang, Zhudeng |
| Author:
|
Tang, Keming |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
49 |
| Issue:
|
6 |
| Year:
|
2013 |
| Pages:
|
948-961 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Uninorms are important generalizations of triangular norms and conorms, with a neutral element lying anywhere in the unit interval, and left (right) semi-uninorms are non-commutative and non-associative extensions of uninorms. In this paper, we firstly introduce the concepts of left and right semi-uninorms on a complete lattice and illustrate these notions by means of some examples. Then, we lay bare the formulas for calculating the upper and lower approximation left (right) semi-uninorms of a binary operation. Finally, we discuss the relations between the upper approximation left (right) semi-uninorms of a given binary operation and the lower approximation left (right) semi-uninorms of its dual operation. (English) |
| Keyword:
|
fuzzy connective |
| Keyword:
|
uninorm |
| Keyword:
|
left (right) semi-uninorm |
| Keyword:
|
upper (lower) approximation |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
06B23 |
| idZBL:
|
Zbl 1286.03098 |
| idMR:
|
MR3182650 |
| . |
| Date available:
|
2014-01-27T12:34:00Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143581 |
| . |
| Reference:
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