The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras

LAI Jia-jun; XU Yang

doi:10.3969/j.issn.0372-2112.2014.10.020

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The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras

更新时间：2025-07-16

- The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras
- Acta Electronica Sinica Vol. 42, Issue 10, Pages: 1998-2003(2014)
- 作者机构：
  
  1. 西南交通大学基础课部(峨眉校区), 四川峨眉,614202
  2. 西南交通大学智能控制开发中心(九里校区),四川,成都,610031
  3. 西南交通大学基础课部(峨眉校区) 四川峨眉,614202
  4. 西南交通大学智能控制开发中心(九里校区),四川,成都,610031
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2014.10.020
  CLC： O141.1O153
- Published：2014
- 稿件说明：
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LAI Jia-jun, XU Yang. The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras[J]. Acta Electronica Sinica, 2014, 42(10): 1998-2003.
DOI：

LAI Jia-jun, XU Yang. The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras[J]. Acta Electronica Sinica, 2014, 42(10): 1998-2003. DOI： 10.3969/j.issn.0372-2112.2014.10.020.

摘要

本文提出了语言真值格蕴涵代数的蕴涵不可约元、有限蕴涵分解元、有限蕴涵分解不可约元的定义

并研究了它们的结构特征

证明了语言真值格蕴涵代数中的部分元素可由蕴涵不可约元通过张量积运算生成.

Abstract

The implicational irreducible elements

finite implicational decomposable elements and finite implicational decomposable irreducible elements based on linguistic truth-valued lattice implication algebra were discussed in this paper

their structure characteristics were investigated about implicational irreducible elements

finite implicational decomposable elements

and finite implicational decomposable irreducible elements

and it is proved that a part elements of linguistic-valued lattice implication algebra were generated by tensor product operation.

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