sum of observables
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The sum of observables on a $$\sigma $$ σ -distributive lattice effect algebra

Soft Computing ◽

10.1007/s00500-018-3617-8 ◽

2018 ◽

Vol 23 (16) ◽

pp. 6743-6753

Author(s):

Jiří Janda ◽

Yongming Li

Keyword(s):

Distributive Lattice ◽

Effect Algebra ◽

Lattice Effect Algebra ◽

Lattice Effect ◽

Sum Of Observables

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The spectrum of the sum of observables on $$\sigma $$ σ -complete MV-effect algebras

Soft Computing ◽

10.1007/s00500-018-3078-0 ◽

2018 ◽

Vol 22 (24) ◽

pp. 8041-8049 ◽

Cited By ~ 2

Author(s):

Jiří Janda ◽

Yongjian Xie

Keyword(s):

Effect Algebras ◽

Sum Of Observables

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Sum of observables on MV-effect algebras

Soft Computing ◽

10.1007/s00500-017-2741-1 ◽

2017 ◽

Vol 22 (8) ◽

pp. 2485-2493 ◽

Cited By ~ 6

Author(s):

Anatolij Dvurečenskij

Keyword(s):

Effect Algebras ◽

Sum Of Observables

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ON THE SUM OF OBSERVABLES IN PRODUCT MV ALGEBRAS

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488599000544 ◽

1999 ◽

Vol 07 (06) ◽

pp. 671-677

Author(s):

BELOSLAV RIEČAN

Keyword(s):

General Class ◽

Quantum Logics ◽

Mv Algebra ◽

Sum Of Observables ◽

Mv Algebras

As an alternative to quantum logics MV algebras have been suggested2,20. In a quite general class of MV algebras there have been constructed sum of any two observables10,14,20. Recently the notion of product MV algebra has been introduced4,5,12,17. In any weakly σ-distributive product MV algebra the joint observable of any observables can be constructed and on the base also the sum of any observables. In this paper we show that the two concepts of constructing of the sum are equivalent.

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