FUZZY LATTICES

被引:94
作者
AJMAL, N
THOMAS, KV
机构
[1] UNIV DELHI,ZAKIR HUSSAIN COLL,DEPT MATH,DELHI 110002,INDIA
[2] UNIV DELHI,DEPT MATH,DELHI 110007,INDIA
关键词
Algebra - Theorem proving;
D O I
10.1016/0020-0255(94)90124-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A general development of the theory of fuzzy sublattices is provided in the paper. Several characterizations of a fuzzy sublattice, fuzzy ideal (dual ideal), and fuzzy prime ideal (dual ideal) are obtained. Structural theorems for fuzzy sublattices, fuzzy ideals (dual ideals) generated by a fuzzy set are proved. Moreover, the notion of fuzzy convex sublattice is introduced and discussed. Various fuzzy analogs of the results of classical lattice theory are established.
引用
收藏
页码:271 / 291
页数:21
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