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From Classical Logic to Fuzzy Logic and Quantum Logic: A General View
International Journal of Computers Communications & Control ( IF 2.7 ) Pub Date : 2021-01-14 , DOI: 10.15837/ijccc.2021.1.4125
Sorin Nadaban

The aim of this article is to offer a concise and unitary vision upon the algebraic connections between classical logic and its generalizations, such as fuzzy logic and quantum logic. The mathematical concept which governs any kind of logic is that of lattice. Therefore, the lattices are the basic tools in this presentation. The Hilbert spaces theory is important in the study of quantum logic and it has also been used in the present paper.

中文翻译:

从古典逻辑到模糊逻辑和量子逻辑的一般观点

本文的目的是对经典逻辑及其概括(例如模糊逻辑和量子逻辑)之间的代数联系提供一个简洁统一的认识。支配任何一种逻辑的数学概念都是格子。因此,格子是此演示文稿中的基本工具。希尔伯特空间理论在量子逻辑研究中很重要,并且在本文中也得到了应用。
更新日期:2021-01-18
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