کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390288 661238 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sharp and unsharp observables on σ-MV algebras—A comparison with the Hilbert space approach
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Sharp and unsharp observables on σ-MV algebras—A comparison with the Hilbert space approach
چکیده انگلیسی

We prove that any observable with a standard value space on a probability MV algebra M can be extended from a mapping defined on measurable subsets with values in M to a mapping defined on bounded real valued measurable functions with values in the set of sharp observables associated with M. Our method of proof is quite different from the method of the proof of analogous result for POV-observables on a Hilbert space. We show that for POV-observables with commuting range both approaches give the same results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 22, 16 November 2008, Pages 3065-3077