کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390329 661243 2011 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The intersection operation in light of joint observables and Bell inequalities in operational probability theory
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
The intersection operation in light of joint observables and Bell inequalities in operational probability theory
چکیده انگلیسی

Operational probability theory appears as a smooth extension of classical probability theory that fulfills quantum physics needs. In this paper, we, first, explain the need to extend the concept of the intersection operation in the light of the concept of joint observables. Then, we tried to determine the basic features that characterize any possible definition of the intersection operation. Furthermore, we tried to know if there is a relation between the definitions of the intersection operation of both fuzzy and operational probability theories. These relations are used, first, to find a suitable suggestion to define the intersection operation. Second, they are used, besides the studies made on Bell inequalities in fuzzy probability theory, to find the conditions that should be satisfied by the intersection operation to ensure the possibility of the violation of Bell inequalities in operational probability theory.


► We explain the need to extend the concept of the intersection operation.
► We analyze the relationship between the joint observable and the intersection operation.
► A comparison with the situation in fuzzy probability theory has been made.
► We determine the features that characterize the intersection operation.
► The conditions that ensure the violation of Bell inequalities have been studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 181, Issue 1, 16 October 2011, Pages 58–73
نویسندگان
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