Some algebraic properties and a distance measure for interval-valued fuzzy numbers

被引：83

作者：

Hong, DH

Lee, S

机构：

[1] Catholic Univ Daegu, Sch Mech & Automot Engn, Kyungbuk 712702, South Korea

[2] Taegu Univ, Dept Stat, Taegu 712714, Kyungbuk, South Korea

来源：

INFORMATION SCIENCES | 2002年 / 148卷 / 1-4期

关键词：

interval-valued fuzzy number; algebraic properties; distance measure;

D O I：

10.1016/S0020-0255(02)00265-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we generalize results of Wang and Li [Fuzzy Sets and Systems 98 (1998) 331] on interval-valued fuzzy numbers and extend their operations with simple proofs. We also consider some algebraic properties and a distance measure for interval-valued fuzzy numbers. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：1 / 10

页数：10

共 8 条

[1]

GORZALCZANY B, 1983, P POL S INT FUZZ MAT, P89

[2]

Kaufmann A., 1985, INTRO FUZZY ARITHMET

[3] LIMIT-THEOREMS FOR FUZZY RANDOM-VARIABLES [J].

KLEMENT, EP ;

PURI, ML ;

RALESCU, DA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 407 (1832) :171-182

[4]

SERFLING RJ, 1980, APPROXIMATION THEORM

[5] INTERVAL VALUED FUZZY-SETS BASED ON NORMAL FORMS [J].

TURKSEN, IB .

FUZZY SETS AND SYSTEMS, 1986, 20 (02) :191-210

[6] The applications of interval-valued fuzzy numbers and interval-distribution numbers [J].

Wang, GJ ;

Li, XP .

FUZZY SETS AND SYSTEMS, 1998, 98 (03) :331-335

[7]

WHEEDEN RL, 1977, MEASURE INTEGRAL

[8]

Zimmermann HJ., 2011, Fuzzy Set Theory-and Its Applications

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