Geodesic
A new approach to representation of observables on fuzzy quantum posets
Applications of Mathematics, Tome 37 (1992) no. 5, pp. 357-368.

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We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.
DOI : 10.21136/AM.1992.104516
Classification : 04A72, 06C15, 81P15
Keywords: fuzzy quantum poset; fuzzy quantum space; $q$-$\sigma$-algebra; observable 
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     title = {A new approach to representation of observables on fuzzy quantum posets},
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Long, Le Ba. A new approach to representation of observables on fuzzy quantum posets. Applications of Mathematics, Tome 37 (1992) no. 5, pp. 357-368. doi : 10.21136/AM.1992.104516. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104516/

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