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

ZHANG Xing-fang; HU Kai

doi:10.3969/j.issn.0372-2112.2014.05.030

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

更新时间：2025-07-16

- Lawry Product-Addition Logic and Lawry Infimum-Supfimum Logic of Vague Propositions on the Same Label
- Acta Electronica Sinica Vol. 42, Issue 5, Pages: 1020-1024(2014)
- 作者机构：
  
  聊城大学数学科学学院,山东,聊城,252059
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61273044)
- DOI：10.3969/j.issn.0372-2112.2014.05.030
  CLC： 0141.1
- Published：2014
- 稿件说明：
移动端阅览
ZHANG Xing-fang, HU Kai. Lawry Product-Addition Logic and Lawry Infimum-Supfimum Logic of Vague Propositions on the Same Label[J]. Acta Electronica Sinica, 2014, 42(5): 1020-1024.
DOI：

ZHANG Xing-fang, HU Kai. Lawry Product-Addition Logic and Lawry Infimum-Supfimum Logic of Vague Propositions on the Same Label[J]. Acta Electronica Sinica, 2014, 42(5): 1020-1024. DOI： 10.3969/j.issn.0372-2112.2014.05.030.

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.

Abstract

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 Infimum-Supremum) logic of vague propositions on same label

is presented.These two logics are novel

and comparing Lawry's uncertainty model

their applied scopes are wide.

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