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Conference Paper (international conference)

Representation of States on MV-algebras by Probabilities on R-generated Boolean Algebras

Kroupa Tomáš, Gerla B.

: Proceedings of IFSA/EUSFLAT 2009, p. 713-718

: IFSA/EUSFLAT 2009, (Lisabon, PT, 20.07.2009-24.07.2009)

: CEZ:AV0Z10750506

: 1M0572, GA MŠk

: MV-algebra, R-generated Boolean algebra, state

: http://library.utia.cas.cz/separaty/2009/MTR/kroupa-representation of states on mv-algebras by probabilities on r-generated boolean algebras.pdf

(eng): Any MV-algebra M can be embedded as a lattice in the Boolean algebra B(M) that is R-generated by M. We relate the study of states on an MV-algebra M to the study of finitely additive probabilities on B(M).

(cze): Každou MV-algebru lze (jako svaz) vnořit do R-generované Booleovy algebry. Studium stavů na M lze potom usnadnit pomocí jejich reprezentace jako pravděpodobností na R-generované algebře.

: BA

07.01.2019 - 08:39