Faculty of Physics
M.V. Lomonosov Moscow State University
Regular Article

# Foundations of possibility theory. Methods of optimal estimation and decision making. 4. Maximal extension of possibility

## Yu.P. Pyt'ev

### Moscow University Physics Bulletin 1998. 53. N 1. P. 1

• Article
Annotation

It is shown that a possibility $P(\cdot): \mathcal{A}\rightarrow[0,1]$ can always be extended from an arbitrary $\sigma$-algebra $\mathcal{A}$ of subsets of $X$ to the algebra $\mathcal{P}(X)$ of all subsets of $X$ with preservation of all properties of the possibility, and that a measure $p(\cdot): \mathcal{L}(X)\rightarrow[0,1]$ specifying a possibility of fuzzy events can be extended with preservation of its properties to the class of all functions $X\rightarrow[0,1]$.

Rissian citation:
Ю.П. Пытьев.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1998. № 1. С. 3.
Authors
Yu.P. Pyt'ev
Московский государственный университет имени М.В. Ломоносова, физический факультет, кафедра компьютерных методов физики. Россия, 119991, Москва, Ленинские горы, д. 1, стр. 2

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