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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
Representation and extension of states on MV-algebras
Typ:
Jornal article
Authors:
Name of journal:
Archive for Mathematical Logic
Volume:
45
Year:
2006
Number:
4
Pages:
381-392
ISSN:
0933-5846
Keywords:
MV-algebra, state, integral represantation
Anotation:
States on MV-algebras were introduced in effort to capture a notion of an average truth-value of proposition in Lukasiewicz many-valued logic. In the presented paper, an integral representation theorem for finitely-additive states on semisimple MV-algebra will be proven.