TY - JOUR
ID -
TI - Study of T-norms and Quantum Logic Functions on BL-algebra and Their Relationships to the Classical Probability Structures
AU - Ahmed AL-Adilee1*
AU - Habeeb Kareem Abdullah2
AU - Hawraa A. AL-Challabi2
PY - 2020
VL - 61
IS - 3
SP - 591
EP - 599
JO - Iraqi Journal of Science المجلة العراقية للعلوم
SN - 00672904 23121637
AB -
This paper is concerned with the study of the T-norms and the quantum logic functions on BL-algebra, respectively, along with their association with the classical probability space. The proposed constructions depend on demonstrating each type of the T-norms with respect to the basic probability of binary operation. On the other hand, we showed each quantum logic function with respect to some binary operations in probability space, such as intersection, union, and symmetric difference. Finally, we demonstrated the main results that explain the relationships among the T-norms and quantum logic functions. In order to show those relations and their related properties, different examples were built.
ER -