Fuzzy set representations of some quantum structures
Fuzzy Sets and Systems
A characterization of quasi-copulas
Journal of Multivariate Analysis
Bell-type inequalities in fuzzy probability calculus
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
On the transitivity of a parametric family of cardinality-based similarity measures
International Journal of Approximate Reasoning
Meta-theorems on inequalities for scalar fuzzy set cardinalities
Fuzzy Sets and Systems
| Hi-index | 0.20 |
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.