- Tytuł:
- Rough membership functions: a tool for reasoning with uncertainty
- Autorzy:
-
Pawlak, Z.
Skowron, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1361085.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
evidence theory
rough sets
reasoning with incomplete information
fuzzy sets - Opis:
- A variety of numerical approaches for reasoning with uncertainty have been investigated in the literature. We propose rough membership functions, rm-functions for short, as a basis for such reasoning. These functions have values in the interval [0,1] and are computable on the basis of the observable information about the objects rather than on the objects themselves. We investigate properties of the rm-functions. In particular, we show that our approach is intensional with respect to the class of all information systems [P91]. As a consequence we point out some differences between the rm-functions and the fuzzy membership functions [Z65], e.g. the rm-function values for X ∪ Y (X ∩ Y) cannot be computed in general by applying the operation max(min) to the rm-function values for X and Y.
- Źródło:
-
Banach Center Publications; 1993, 28, 1; 135-150
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł