Distance measure and induced fuzzy entropy

被引:143
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
关键词
fuzzy entropy; distance measure; similarity measure;
D O I
10.1016/S0165-0114(99)80011-6
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Based on logarithm operation, Bhandari and Pal (1993) defined a divergence measure between two fuzzy sets and deduce a fuzzy entropy. On the basis of exponential operation, a new divergence measure is defined and some properties of this divergence measure is discussed. We study the relations between fuzzy entropy, fuzzy Hamming distance, divergence measure defined by Bhandari and Pal (1993), and divergence measure defined in this paper. We obtain quite a general conclusion and solve the problem proposed bq Liu Xuecheng (1992). (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:305 / 314
页数:10
相关论文
共 9 条
  • [1] [Anonymous], 1992, NEURAL NETWORKS FUZZ
  • [3] LIU XC, 1992, FUZZY SET SYST, V52, P305, DOI 10.1016/0165-0114(92)90239-Z
  • [4] ENTROPY - A NEW DEFINITION AND ITS APPLICATIONS
    PAL, NR
    PAL, SK
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1991, 21 (05): : 1260 - 1270
  • [5] OBJECT-BACKGROUND SEGMENTATION USING NEW DEFINITIONS OF ENTROPY
    PAL, NR
    PAL, SK
    [J]. IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES, 1989, 136 (04): : 284 - 295
  • [6] SOME PROPERTIES OF THE EXPONENTIAL ENTROPY
    PAL, NR
    PAL, SK
    [J]. INFORMATION SCIENCES, 1992, 66 (1-2) : 119 - 137
  • [7] SOME NEW INFORMATION MEASURES FOR FUZZY-SETS
    PAL, NR
    [J]. INFORMATION SCIENCES, 1993, 67 (03) : 209 - 228
  • [8] FUZZY SETS
    ZADEH, LA
    [J]. INFORMATION AND CONTROL, 1965, 8 (03): : 338 - &
  • [9] Zimmermann HJ, 1985, FUZZY SET THEORY ITS