A lattice-theoretical characterization of the family of cut sets of interval-valued fuzzy sets

被引：9
|
作者：
Ranitovic, Marijana Gorjanac [1 ]
Tepavcevic, Andreja [2 ]
机构：
[1] Univ Novi Sad, Fac Educ, Podgoricka 4, Sombor 25000, Serbia
[2] Univ Novi Sad, Fac Sci, Trg D Obradovica 4, Novi Sad 21000, Serbia
来源：
FUZZY SETS AND SYSTEMS | 2018年 / 333卷
关键词：
Interval-valued fuzzy sets; Lattice representations; Cuts; TOPOLOGICAL-SPACES; ORDERED STRUCTURES; LEVEL-TOPOLOGIES; REPRESENTATION;
D O I：
10.1016/j.fss.2016.11.014
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper the answer to a problem posed in [19] is given using known and some newly introduced types of lattices and lattice constructions. The main result is that the collection of cuts of an interval-valued fuzzy set forms a complete finitely spatial meet-between planar lattice. (c) 2016 Elsevier B.V. All rights reserved.
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页码：1 / 10
页数：10
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