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.

引用

页码：1 / 10

页数：10

共 50 条

[1] Lattice representations of interval-valued fuzzy sets
Ranitovic, Marijana Gorjanac
Petojevic, Aleksandar
FUZZY SETS AND SYSTEMS, 2014, 236 : 50 - 57
[2] Interval-valued Level Cut Sets of Fuzzy Set
Yuan, Xue-hai
Li, Hong-xing
Sun, Kai-biao
FUZZY INFORMATION AND ENGINEERING, 2011, 3 (02) : 209 - 222
[3] A Note on Interval-valued Fuzzy Rough Sets and Interval-valued Intuitionistic Fuzzy Sets
Zhang, Q. S.
Jiang, S. Y.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2010, 34 (03) : 553 - 561
[4] Theory Based on Interval-Valued Level Cut Sets of Zadeh Fuzzy Sets
Yuan, Xue-hai
Li, Hong-xing
Sun, Kai-biao
FUZZY INFORMATION AND ENGINEERING, VOLUME 2, 2009, 62 : 501 - 510
[5] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Burillo, P
Bustince, H
FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
[6] THE INTERVAL-VALUED FUZZY SETS BASED ON FLOU SETS
Li, Hong-Xia
Liu, Kun
Gong, Zeng-Tai
PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 223 - 228
[7] Convexity and level sets for interval-valued fuzzy sets
Pedro Huidobro
Pedro Alonso
Vladimír Janiš
Susana Montes
Fuzzy Optimization and Decision Making, 2022, 21 : 553 - 580
[8] Convexity and level sets for interval-valued fuzzy sets
Huidobro, Pedro
Alonso, Pedro
Janis, Vladimir
Montes, Susana
FUZZY OPTIMIZATION AND DECISION MAKING, 2022, 21 (04) : 553 - 580
[9] Specificity for interval-valued fuzzy sets
Ramón González-del-Campo
Luis Garmendia
Ronald R. Yager
International Journal of Computational Intelligence Systems, 2012, 5 : 452 - 459
[10] On the cardinalities of interval-valued fuzzy sets
Deschrijver, Glad
Kral, Pavol
FUZZY SETS AND SYSTEMS, 2007, 158 (15) : 1728 - 1750

← 1 2 3 4 5 →