Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Conditional Interval Valued Probability and Martingale Convergence Theorem

Authors
Katarína Čunderlíková
Corresponding Author
Katarína Čunderlíková
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.068How to use a DOI?
Keywords
Interval valued event, Interval valued state, Interval valued observable, Product, Conditional interval valued probability, Martingale convergence theorem
Abstract

The aim of this contribution is to define a conditional probability for interval valued events. We show the connection between the conditional probability for interval valued events and the conditional probability for intuitionistic fuzzy events too. We formulate the properties of conditional probability for interval valued events. We prove a modification of martingale convergence theorem for conditional probability defined on a family of interval valued events too.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
978-94-6239-423-0
ISSN
2589-6644
DOI
10.2991/asum.k.210827.068How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Katarína Čunderlíková
PY  - 2021
DA  - 2021/08/30
TI  - Conditional Interval Valued Probability and Martingale Convergence Theorem
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 517
EP  - 522
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.068
DO  - 10.2991/asum.k.210827.068
ID  - Čunderlíková2021
ER  -