- Tytuł:
- Fuzzy number division and the multi-granularity phenomenon
- Autorzy:
-
Piegat, A.
Pluciński, M. - Powiązania:
- https://bibliotekanauki.pl/articles/202398.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
granular computing
fuzzy arithmetic
fuzzy calculations
RDM fuzzy arithmetic
horizontal membership function
przetwarzanie ziarniste
arytmetyka liczb rozmytych
RDM
funkcja przynależności poziomej - Opis:
- The paper presents difficulties connected with fuzzy and interval division. If operations such as fuzzy addition, subtraction and multiplication provide as a result one compact, multidimensional granule, then a result of the fuzzy division can consists of few separated granules. Such results are more difficult to use in next calculations. The paper shows that the number of solution granules can be higher than 2 and that in certain problems division does not occur explicitly. In certain problems, separation of particular solution granules can be considerable. The paper also shows how to realize the fuzzy division when its denominator contains zero. Most types of fuzzy arithmetics forbid such operation. However, the paper shows that it is possible. Multidimensional fuzzy RDM arithmetic and horizontal membership functions which facilitate detecting of solution granules are also described. The considered problems are visualized by examples.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 4; 497-511
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł