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Set representations of sigma-complete MV-algebras
We characterize Lukasiewicz tribes, i.e., collections of fuzzy sets that are closed under the standard fuzzy complementation and the Lukasiewicz t-norm with countably many arguments. We introduce sigma-McNaughton f...
BA - Obecná matematika
- 2004 •
- O
Rok uplatnění
O - Ostatní výsledky
Zadeh-Type Fuzzy Probability with Triangular Norms
The paper deals with theoretical fundamentals the fuzzification of random events and probability. Using the triangular norms and fuzzy sigma algebra, we introduce some concept such as Zadeh-type fuzzy probability o...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
The Sigma-complete MV-algebras which Have Enough States
We characterize Lukasiewicz tribes, i.e., collections of fuzzy sets that are closed under the standard fuzzy complementation and the Lukasiewicz t-norm with countably many arguments. As a tool, we introduce Sigma-M...
JD - Využití počítačů, robotika a její aplikace
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fuzzy Probability with Triangular Norm System
The paper is concerned with the theoretical fundamentals of the fuzzification of random events and probability. Using the triangular norms and fuzzy sigma algebra, we introduce some concept such as Zadeh`s type fuzzy
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
it on a small algebra of sets, where its ∗-additivity could be easy to verify, and then this theorem guarantees its extension to a sigma-algebra.The goal of this paper is to introduce two new concepts ∗-fuzzy<...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Triangular norms and negations - which expressions do they allow?
The classical measure and probability theory is based on the notion of Sigma-algebra of subsets of a set. Butnariu and Klement generalized it to fuzzy sets by considering collections of fuzzy ...
JD - Využití počítačů, robotika a její aplikace
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Every state on semisimple MV-algebra is integral
clan of continuous fuzzy sets arises as an integral with respect to a unique Borel?topological properties of the state space: the set of all states on every MV-algebra forms probability measures (states) on semisi...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
P-measures on Soft Fuzzy Sigma-algebras
BA - Obecná matematika
- 1993 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Yager-type Fuzzy Reliability of System
Based on the Yager-type fuzzy probability distribution and its properties, the paper defines the fuzzy reliability and its characteristics for the probability double-state model of element and system. The computational algorithm on ...
BB - Aplikovaná statistika, operační výzkum
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Convex Functions on Sigma-Algebras of Nonatomic Measure Spaces
We present a convex-like structure of set functions on sigma-algebras of nonatomic finite measure spaces. We introduce a convex subset of sigma-algebra and a convex set function. We prove Jensen i...
BB - Aplikovaná statistika, operační výzkum
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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