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.
@article{104516, author = {Le Ba Long}, title = {A new approach to representation of observables on fuzzy quantum posets}, journal = {Applications of Mathematics}, volume = {37}, year = {1992}, pages = {357-368}, mrnumber = {1175930}, language = {en}, url = {http://dml.mathdoc.fr/item/104516} }
Long, Le Ba. A new approach to representation of observables on fuzzy quantum posets. Applications of Mathematics, Tome 37 (1992) pp. 357-368. http://gdmltest.u-ga.fr/item/104516/
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