Open AccessQuantum Logic Maps and Triangular Norms on D-posets
Author(s) -
Ahmed Al-Adilee,
Mustafa G. Al-Mousawi
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012121
Subject(s) - partially ordered set , generalization , quantum logic , mathematics , type (biology) , quantum , pure mathematics , algebra over a field , space (punctuation) , discrete mathematics , quantum computer , computer science , quantum mechanics , physics , mathematical analysis , ecology , biology , operating system
In this paper, we propose a type of generalization of triangular norms and quantum logic functions on d-poset algebra. We compare the modified constructions, and properties to the classical properties of the generalized concepts. We show several structures with proof of each type of the proposed generalization. We show several relationships that connect the triangular norms to the quantum logic maps, and also show their relationships to the classical probability space. We provide some explanatory examples that show each structure on d-poset with extra properties that depends on a definition of state.