IMTL-代数的零化算子和⊕理想及其相互关系  

Annihilator operators and ⊕ ideals of IMTL-algebra with their relationships

作　　者：王伦磊 吴洪博[1] WANG Lunlei;WU Hongbo(College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China)

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《计算机工程与应用》2017年第9期57-62,共6页Computer Engineering and Applications

基　　金：国家自然科学基金重点项目(No.11531009);国家自然科学基金面上项目(No.61572016);中央高校基本科研业务费专项资金项目(No.GK201501001)

摘　　要：主要对IMTL-代数中的零化算子和⊕理想的性质及其相互关系进行了研究。首先,将零化算子的概念引入到IMTL-代数中,在IMTL-代数中分别讨论了单点零化算子,多点零化算子的性质;其次,将⊕理想的概念引入IMTL-代数中,并对⊕理想的基本性质进行了讨论;最后,给出了IMTL-代数上零化子和⊕理想之间的相互依赖的关系和相互决定的方法。The main purpose is to study the properties of annihilator operator and?ideal with relationships among them.Firstly,the concept of annihilator operator is introduced into IMTL-algebras.The properties of single-point annihilator operator and multiple-point annihilator operator have been investigated respectively.Secondly,?ideal is introduced to IMTL-algebras and its some basic properties are discussed.Finally,the dependent relationship and decision relationship between annihilators and?ideals are explored.

关 键 词：模糊逻辑 逻辑代数 IMTL-代数 零化算子 ⊕理想 

分 类 号：O141.1[理学—数学]