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Note on Construction of Probabilities on Many-valued Events via Schauder Bases and Inverse Limits
- 1.0343709 - ÚTIA 2011 RIV ES eng C - Conference Paper (international conference)
Kroupa, Tomáš
Note on Construction of Probabilities on Many-valued Events via Schauder Bases and Inverse Limits.
Proceedings of ISMVL 2010. Barcelona: IEEE computer society, 2010, s. 185-188. ISBN 978-0-7695-4024-5. ISSN 0195-623X.
[40th IEEE International Symposium on Multiple-Valued Logic. Barcelona (ES), 26.05.2010-28.05.2010]
R&D Projects: GA MŠMT 1M0572; GA ČR GA201/09/1891
Institutional research plan: CEZ:AV0Z10750506
Keywords : Schauder basis * unimodular triangulation * probability
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2010/MTR/kroupa-note on construction of probabilities on many-valued events via schauder bases and inverse limits.pdf
Every probability on many-valued events (a state on a finitely-generated free MV-algebras) is uniquely represented by refining finitely-supported probabilities across all Schauder bases. This procedure enables reconstructing the state space as the inverse limit of an inverse system of finite-dimensional simplices.
Permanent Link: http://hdl.handle.net/11104/0186124
Number of the records: 1