Distances between Interval-valued Intuitionistic Fuzzy Sets

被引：39

作者：

Park, Jin Han

Lim, Ki Moon

Park, Jong Sco

Kwun, Young Chel ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷

关键词：

D O I：

10.1088/1742-6596/96/1/012089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a geometrical interpretation of the interval-valued fuzzy set (IVFS). Based on the geometrical background, we propose new distance measures between IVFSs and compare these measures with distance measures proposed by Burillo and Bustince (1996) and Grzegorzewski (2004), respectively. Furthermore, we extend three methods for measuring distances between IVFSs to interval-valued intuitionistic fuzzy sets.

引用

页数：8

共 12 条

[1] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS
ATANASSOV, K
GARGOV, G
[J]. FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 343 - 349
[2] INTUITIONISTIC FUZZY-SETS
ATANASSOV, KT
[J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
[3] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Burillo, P
Bustince, H
[J]. FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
[4] On the relationship between some extensions of fuzzy set theory
Deschrijver, G
Kerre, EE
[J]. FUZZY SETS AND SYSTEMS, 2003, 133 (02) : 227 - 235
[5] Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
Grzegorzewski, P
[J]. FUZZY SETS AND SYSTEMS, 2004, 148 (02) : 319 - 328
[6] KAUFMAN, 1973, INTRO THEORIE SOUS E
[7] Sambuc R, 1975, PhD thesis,
[8] Distances between intuitionistic fuzzy sets
Szmidt, E
Kacprzyk, J
[J]. FUZZY SETS AND SYSTEMS, 2000, 114 (03) : 505 - 518
[9] OUTLINE OF A NEW APPROACH TO ANALYSIS OF COMPLEX SYSTEMS AND DECISION PROCESSES
ZADEH, LA
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1973, SMC3 (01): : 28 - 44
[10] FUZZY SETS
ZADEH, LA
[J]. INFORMATION AND CONTROL, 1965, 8 (03): : 338 - &

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