Publication detail
Fuzzy Probability with Triangular Norm System
KARPÍŠEK, Z.
Czech title
Fuzzy pravděpodobnost se systémem trojúhelnikových norem
English title
Fuzzy Probability with Triangular Norm System
Type
conference paper
Language
en
Original abstract
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 probability of fuzzy event with regard to generalized fuzzy set operations. Further, independent fuzzy events are defined and their properties are investigated.
Czech abstract
Článek je zaměřen na teoretické základy fuzzifikace náhodných jevů a pravděpodobnost. Pomocí trojúhelnikových norem a fuzzy sigma algebry je zavedena fuzzy pravděpodobnost Zadehova typu fuzzy jevu vužívající zobecněnéi operace s fuzzy množinami.
English abstract
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 probability of fuzzy event with regard to generalized fuzzy set operations. Further, independent fuzzy events are defined and their properties are investigated.
Keywords in Czech
trojúhelníková norma, fuzzy sigma algebra, fuzzy jev, fuzzy pravděpodobnost
Keywords in English
triangular norm, fuzzy sigma algebra, fuzzy event, fuzzy probability
RIV year
2007
Released
06.02.2007
Publisher
STU Bratislava
Location
Bratislava
ISBN
978-80-969562-4-1
Book
6th International Conference APLIMAT 2007 (Part II)
Edition number
1
Pages from–to
403–416
Pages count
14
BIBTEX
@inproceedings{BUT25782,
author="Zdeněk {Karpíšek},
title="Fuzzy Probability with Triangular Norm System",
booktitle="6th International Conference APLIMAT 2007 (Part II)",
year="2007",
month="February",
pages="403--416",
publisher="STU Bratislava",
address="Bratislava",
isbn="978-80-969562-4-1"
}