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MV-Observables and MV-Algebras

✍ Scribed by Anatolij Dvurečenskij

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
135 KB
Volume
259
Category
Article
ISSN
0022-247X

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✦ Synopsis

We introduce MV-observables, an analogue of observables for MV-algebras, as -homomorphisms from the Borel tribe generated by the Borel sets of ‫ޒ‬ and w x constant functions from 0, 1 into an MV-algebra M. We show that it is possible to define such observables only for weakly divisible MV-algebras. We present a representation as well as a so-called calculus of MV-observables, which enables us to construct, e.g., the sum or product of MV-observables.

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