BL-代数上的几种直觉模糊滤子  

Intuitionistic Fuzzy Filters of the BL-Algebras

作　　者：薛占熬[1] 肖运花[1] 薛天宇[2] 李跃军[1] 

机构地区：[1]河南师范大学计算机与信息技术学院,新乡453007 [2]河南师范大学数学与信息科学学院,新乡453007

出　　处：《计算机科学》2012年第9期198-201,219,共5页Computer Science

基　　金：河南省重点科技攻关项目(092102210149);河南省教育厅自然科学研究计划项目(2009B520015)资助

摘　　要：结合直觉模糊集和滤子理论,对BL-代数上的直觉模糊滤子进行了研究。首先回顾了BL-代数和直觉模糊集的有关基础知识。然后引入BL-代数上的直觉模糊滤子、直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子的概念,讨论了它们的一系列重要性质,证明了直觉模糊滤子与直觉模糊格滤子、直觉模糊布尔滤子和直觉模糊蕴涵滤子是等价的,并用实例进行了验证。最后探讨了直觉模糊滤子和模糊滤子的关系。Combining intuitionistic fuzzy sets and filter theory,we studied the instuitionistic fuzzy filters of the BL-algebras.The basic knowledge of the BL-algebras and the intuitionistic fuzzy sets were firstly reviewed.The filter,lattices filter,Boolean filter and implicative filter were introduced in the intuitionistic fuzzy sets,respectively.And their important properties were investigated.The intuitionistic fuzzy filter was proved to be the intuitionistic fuzzy lattice filter,and the intuitionistic fuzzy Bollean filter was also proved to be equivalent to the intuitionistic fuzzy implicative filter in the BL-algebras,and practical examples were used to verify.Finally,we discussed the relation between intuitionistic fuzzy filter and fuzzy filter.

关 键 词：BL-代数 直觉模糊滤子 直觉模糊格滤子 直觉模糊布尔滤子 直觉模糊蕴涵滤子 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]