摘要
考虑模糊概念与模糊逻辑的多种性,基于带对偶非的三角模逻辑,提出了一种新的模糊命题的逻辑,称为模糊命题的多维三层逻辑.特别地,记n维三层逻辑为Ln-3-3.首先,引入了模糊命题的首层n维真向量、中层3维真向量、末层经典真向量的概念;然后,提出了Ln-3-3逻辑悲观c-重言式、Ln-3-3逻辑乐观c-重言式、Ln-3-3逻辑期望c-重言式、Ln-3-3逻辑重言式、Ln-3-3逻辑悲观c-经典重言式、Ln-3-3逻辑乐观c-经典重言式与Ln-3-3逻辑期望c-经典重言式概念,并且讨论了Ln-3-3逻辑的性质.最后提供了LN-L2-3-3逻辑的规律.
Considering multiple characteristics of fuzzy concept and fuzzy logics, based on trian- gle norms with involution negation, the paper proposes a new kind of fuzzy propositional logics. It is called fuzzy propositional multi-dimension three-layer logic. In particular, n-dimension three-layer logic is denoted by Ln-3-3. Firstly, some concepts for fuzzy propositions, such as the first-layer n-dimension truth-vector, the middle-layer 3-dimension truth-vector and the end-layer classical truth-vector, are introduced. Then, some concepts, such as Ln-3-3 logic pessimism c- Tautology, Ln-3-3 logic optimism c-Tautology, Ln-3-3 logic expectation c-Tautology, Ln-3-3 logic Tautology, Ln-3-3 logic pessimism c-classical Tautology, Ln-3-3 logic optimism c-classical Tautology and Ln-3 3 logic expectation c-classical Tautology also are presented, and the proper- ties of Ln-3-3 logic are discussed. Finally, the logical laws of LN-L2-3-3 are provided.
出处
《计算机学报》
EI
CSCD
北大核心
2013年第11期2283-2289,共7页
Chinese Journal of Computers
基金
国家自然科学基金(61273044)资助~~
关键词
模糊逻辑
多维三层逻辑}首层n维真向量
中层3维真向量
末层经典真向量
fuzzy logic
multi-dimension three-layer logic
the first-layer n-dimension truth-vectorsthe middle-layer 3-dimension truth-vector
the end-layer classical truth-vector
