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Conference Paper (international conference)

Note on Construction of Probabilities on Many-valued Events via Schauder Bases and Inverse Limits

Kroupa Tomáš

: Proceedings of ISMVL 2010, p. 185-188

: 40th IEEE International Symposium on Multiple-Valued Logic, (Barcelona, ES, 26.05.2010-28.05.2010)

: CEZ:AV0Z10750506

: 1M0572, GA MŠk, GA201/09/1891, GA ČR

: Schauder basis, unimodular triangulation, probability

: 10.1109/ISMVL.2010.42

: 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

(eng): 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.

: BA