- Tytuł:
- On practical problems with the explanation of the difference between possibility and probability
- Autorzy:
- Piegat, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/970096.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
system rozmyty
arytmetyka rozmyta
możliwość
prawdopodobieństwo
fuzzy systems
fuzzy arithmetic
possibility
probability - Opis:
- In his famous paper "Fuzzy Sets as a Basis for a Theory of Possibility" (Zadeh, 1978) Professor Lofti Zadeh introduced the notion of possibility distribution [pi]x and tlie concept of possibility measure. He denned in the paper the possibility distribution function to be numerically equal to the membership function ([pi]x = [my]F). In this paper Professor Zadeh draws the special attention of the reader to the fact that: "... there is a fundamental difference between probability and possibility". To explain this difference he had given a special example illustrating the difference, which then was cited by many authors of books on Fuzzy Set Theory and gained great importance for understanding the notion of possibility. In the paper the author presents his doubts as to this important example, explains why it is incorrect and gives a correct version of the example based on the notion of possibility distribution of Dubois and Prade.
- Źródło:
-
Control and Cybernetics; 2005, 34, 2; 505-524
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł