Some notes on similarity measure and proximity measure

被引：79

作者：

Fan, JL ^{[1
]}

Xie, WX

机构：

[1] Xian Inst Posts & Telecommun, Dept Basic Courses, Xian 710061, Peoples R China

[2] Xidian Univ, Dept Elect Engn, Xian 710071, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 1999年 / 101卷 / 03期

关键词：

fuzzy set; similarity measure; sigma-similarity measure; proximity measure;

D O I：

10.1016/S0165-0114(97)00108-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We analyze the proximity measure introduced by Pappis and, give a general definition of proximity measure in this paper. Based on the axiom definition of similarity measure, we discuss some properties of similarity measure. The results, to some extent, could simplify the process of comparison of some similarity measures of fuzzy values. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：403 / 412

页数：10

共 14 条

[1] FUZZY INPUT-OUTPUT CONTROLLERS ARE UNIVERSAL APPROXIMATORS [J].

BUCKLEY, JJ ;

HAYASHI, Y .

FUZZY SETS AND SYSTEMS, 1993, 58 (03) :273-278

[2] DELTA-EQUALITIES OF FUZZY-SETS [J].

CAI, KY .

FUZZY SETS AND SYSTEMS, 1995, 76 (01) :97-112

[3] A COMPARISON OF SIMILARITY MEASURES OF FUZZY VALUES [J].

CHEN, SM ;

YEH, MS ;

HSIAO, PY .

FUZZY SETS AND SYSTEMS, 1995, 72 (01) :79-89

[4] A NEW APPROACH TO HANDLING FUZZY DECISION-MAKING PROBLEMS [J].

CHEN, SM .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (06) :1012-1016

[5]

Dubois D., 1980, Fuzzy sets and system-theory and application

[6] A NOTE ON THE VALUE SIMILARITY OF FUZZY-SYSTEMS VARIABLES [J].

HONG, DH ;

HWANG, SY .

FUZZY SETS AND SYSTEMS, 1994, 66 (03) :383-386

[7]

LIU XC, 1992, FUZZY SET SYST, V52, P305, DOI 10.1016/0165-0114(92)90239-Z

[8] SOME NEW INFORMATION MEASURES FOR FUZZY-SETS [J].

PAL, NR .

INFORMATION SCIENCES, 1993, 67 (03) :209-228

[9] A COMPARATIVE-ASSESSMENT OF MEASURES OF SIMILARITY OF FUZZY VALUES [J].

PAPPIS, CP ;

KARACAPILIDIS, NI .

FUZZY SETS AND SYSTEMS, 1993, 56 (02) :171-174

[10] VALUE APPROXIMATION OF FUZZY-SYSTEMS VARIABLES [J].

PAPPIS, CP .

FUZZY SETS AND SYSTEMS, 1991, 39 (01) :111-115

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