Interval Type-2 Relative Entropy Fuzzy C-Means clustering

被引:30
作者
Zarinbal, M. [1 ]
Zarandi, M. H. Fazel [1 ,3 ]
Turksen, I. B. [2 ,3 ]
机构
[1] Amirkabir Univ Technol, Dept Ind Engn, Tehran, Iran
[2] TOBB Econ & Technol Univ, Ankara, Turkey
[3] Univ Toronto, Knowledge Intelligent Syst Lab, Toronto, ON, Canada
关键词
Interval Type-2 fuzzy set theory; Interval arithmetic; Relative entropy; Fuzzy c-means clustering; Interval Type-2 Relative Entropy Fuzzy; C-Means clustering; MEANS ALGORITHM; UNCERTAINTY; CONTROLLERS; REGRESSION; VALUES;
D O I
10.1016/j.ins.2014.02.066
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Fuzzy set theory especially Type-2 fuzzy set theory provides an efficient tool for handling uncertainties and vagueness in real world observations. Among various clustering techniques, Type-2 fuzzy clustering methods are the most effective methods in the case of having no prior knowledge about observations. While uncertainties in Type-2 fuzzy clustering parameters are investigated by researchers, uncertainties associated with membership degrees are not very well discussed in the literature. In this paper, investigating the latter uncertainties is our concern and Interval Type-2 Relative Entropy Fuzzy C-Means (IT2 REFCM) clustering method is proposed. The computational complexity of the proposed method is discussed and its performance is examined using several experiments. The obtained results show that the proposed method has a very good ability in detecting noises and assignment of suitable membership degrees to observations. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:49 / 72
页数:24
相关论文
共 39 条
  • [1] [Anonymous], 2007, ADV FUZZY CLUSTERING
  • [2] Analytical approximations for real values of the Lambert W-function
    Barry, DA
    Parlange, JY
    Li, L
    Prommer, H
    Cunningham, CJ
    Stagnitti, E
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2000, 53 (1-2) : 95 - 103
  • [3] Britannica E., 2013, IMAGE PROCESSING
  • [4] Designing Type-1 and Type-2 Fuzzy Logic Controllers via Fuzzy Lyapunov Synthesis for nonsmooth mechanical systems
    Cazarez-Castro, Nolie R.
    Aguilar, Luis T.
    Castillo, Oscar
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2012, 25 (05) : 971 - 979
  • [5] Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2
    Chapeau-Blondeau, F
    Monir, A
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (09) : 2160 - 2165
  • [6] On the Lambert W function
    Corless, RM
    Gonnet, GH
    Hare, DEG
    Jeffrey, DJ
    Knuth, DE
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 5 (04) : 329 - 359
  • [7] Cunyong Qiu, 2011, 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2011), P545, DOI 10.1109/FSKD.2011.6019569
  • [8] Dawood H., 2012, INTERVAL MATH MASTER
  • [9] Enke D., 2011, PROCEDIA COMPUTER SC, V6, P201
  • [10] Gradual numbers and their application to fuzzy interval analysis
    Fortin, Jerome
    Dubois, Didier
    Fargier, Helene
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2008, 16 (02) : 388 - 402