FUZZY LATTICES

被引：91
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
来源：
INFORMATION SCIENCES | 1994年 / 79卷 / 3-4期
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.
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页码：271 / 291
页数：21
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