L-fuzzy lattices:: an introduction

被引:49
|
作者
Tepavcevic, A
Trajkovski, G
机构
[1] Univ Novi Sad, Fac Sci, Math Inst, Novi Sad, Yugoslavia
[2] W Virginia Univ, Parkersburg, WV 26101 USA
关键词
fuzzy lattices; fuzzy relations; fuzzy algebras;
D O I
10.1016/S0165-0114(00)00065-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The paper introduces lattice-valued fuzzy lattices. Two types of L-fuzzy lattices are defined, and their connection is observed. The first type of fuzzy lattices is obtained via fuzzification of the membership to the carrier, and the second via fuzzification of the ordering relation in a crisp lattice. It is proved that the two approaches are equivalent, similarly as in the crisp lattice theory. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码:209 / 216
页数:8
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