Maxima and minima in fuzzified linear orderings

被引：1

作者：

Behounek, Libor ^{[1
,2
]}

机构：

[1] Acad Sci Czech Republ, Inst Comp Sci, Pod Vodarenskou Vezi 2, Prague 18207 8, Czech Republic

[2] Div Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, NSC IT4Innovat, 30 Dubna 22, Ostrava 70103 1, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2016年 / 289卷

关键词：

Fuzzy relations; Similarity relations; Fuzzy orderings; Higher-order fuzzy logic; VALUED EQUIVALENCE-RELATIONS; SIMILARITY RELATIONS; VAGUE LATTICES; FUZZY; LOGIC;

D O I：

10.1016/j.fss.2015.02.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper studies the notions of fuzzy maxima, minima, suprema, and infima in the setting of fuzzified linear orderings. The main result shows that in fuzzified linear orders satisfying certain reasonable assumptions, the fuzzy maxima and minima of all non-empty fuzzy sets are non-empty. (C) 2015 Published by Elsevier B.V.

引用

页码：82 / 93

页数：12

共 29 条

[1]

[Anonymous], 2001, STUDIES LOGIC COMPUT

[2]

[Anonymous], 2007, STUD LOGIC FDN MATH

[3]

[Anonymous], 1994, Fuzzy preference modelling and multicriteria decision support

[4] From fuzzy logic to fuzzy mathematics: A methodological manifesto [J].

Behounek, L ;

Cintula, P .

FUZZY SETS AND SYSTEMS, 2006, 157 (05) :642-646

[5] Fuzzy class theory [J].

Behounek, L ;

Cintula, P .

FUZZY SETS AND SYSTEMS, 2005, 154 (01) :34-55

[6]

Behounek L., 2011, LOGICA YB 2010, P25

[7]

Behounek L., 2014, 51186 AC SCI CZECH R

[8]

BEHOUNEK L, 2006, P 11 IPMU C PAR, P1604

[9]

Behounek Liber, 2011, Studies in Logic, V37, P1

[10] Relations in fuzzy class theory: Initial steps [J].

Behounek, Libor ;

Bodenhofer, Ulrich ;

Cintula, Petr .

FUZZY SETS AND SYSTEMS, 2008, 159 (14) :1729-1772

← 1 2 3 →