同标签Vague命题的Lawry乘-加逻辑与Lawry下-上确界逻辑  

Lawry Product-Addition Logic and Lawry Infimum-Supfimum Logic of Vague Propositions on the Same Label

作　　者：张兴芳[1] 胡凯[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《电子学报》2014年第5期1020-1024,共5页Acta Electronica Sinica

基　　金：国家自然科学基金(No.61273044)

摘　　要：作者在另一文中,基于Lawry的不确定模型,提出了一种新的非经典命题逻辑,称为同主语同标签Vague命题的Lawry逻辑.本文又扩充了它的研究对象,利用乘积和加法算子(下确界和上确界算子)引入了同标签Vague命题的Lawry乘-加(Lawry下-上确界)真度的概念,并给出了它们的逻辑规律.由此,本文又提出了新的非经典命题逻辑,称为同标签Vague命题的Lawry乘-加(Lawry下-上确界)逻辑.这两种非经典逻辑不仅新颖,而且相比Lawry的不确定模型适应面更广.In the other one paper, a new non - classical logic, called Lawry logic of Vague propositions with same subject on same label was presented based on Lawry＇ s uncertainty model. In the paper, its researchful object is extended. The concept of truth degree of Lawry product-adition （infimum-supremum） of vague propositions on same label,is introduced using product and addition （infimum and supremum）, operators. Further, their logical laws are given. Consequently, non-classical logics, called Lawry Product- Addition （ Lawry Infunum-Supremum） logic of vague propositions on same label, is presented. These two logics are novel, and comparing I_awry＇ s uncertainty model, their applied scopes are wide.

关 键 词：非经典逻辑 Vague命题 Lawry逻辑 Lawry乘-加逻辑 Lawry下-上确界逻辑 

分 类 号：O141.1[理学—数学]