个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:大连理工大学
学位:博士
所在单位:数学科学学院
电子邮箱:yuanxh@dlut.edu.cn
On the definition of the fuzzy sublattice
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论文类型:会议论文
发表时间:2008-10-18
收录刊物:EI、CPCI-S、Scopus
卷号:1
页面范围:372-+
关键字:fuzzy sublattice; fuzzy point; consensus space; C-fuzzy Sublattice
摘要:In this paper, we present two approaches to define fuzzy sublattice. Firstly, by the use of the relations betwe-en fuzzy points and fuzzy subsets, definition of ((beta) over bar, (alpha) over bar)-fuzzy sublattice is given. We have shown that the acceptable non-trival concepts obtained in this manner are the (epsilon,epsilon) -fuzzy sublattice, (epsilon, epsilon boolean OR q)-fuzzy subla-ttice and ((epsilon) over bar, (epsilon) over bar boolean OR (q) over bar)-fuzzy sublattice. Secondly, based on the theory of a consensus space presents by Hisakichi Suzuki, concept of C -juz2y sublattice is acquired. It is pointed that (epsilon, epsilon) -juz2y sublattice is C -fuzzy sublattice and C-fuzzy sublattice is defined on a t-norm. Finally, it is proved that C -fuzzy sublattice is isomorphic to C -fuzzy sublattice generated by a sublattice