Coarsening of Fuzzy Partitions

被引：0
|
作者：
Bodjanova, Slavka [1 ]
Kalina, Martin [2 ]
机构：
[1] Texas A&M Univ, Dept Math, MSC 172, Kingsville, TX 78363 USA
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, SK-81001 Bratislava, Slovakia
来源：
IEEE 13TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS (SISY) | 2015年
关键词：
fuzzy sets; fuzzy partitions; c-means clustering algorithms; alpha-cuts; p-level sets; coarseness; defuzzification;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A vague partition U of a finite universal set X into c clusters, where each cluster is described by a fuzzy set on X, is considered. The concept of p-level sets [3] of fuzzy sets is extended to p-level matrices of fuzzy partitions. A method of gradual coarsening of U based on a sequence of p-level matrices derived from the membership grades of clusters of U is suggested. Modifications of p-level matrices to extended p-level matrices and to strict p-level matrices are proposed.
引用
收藏
页码：127 / 132
页数：6
相关论文
共 50 条
  • [1] Fuzzy δ-ε-partitions
    Montes, S
    Couso, I
    Gil, P
    [J]. INFORMATION SCIENCES, 2003, 152 : 267 - 285
  • [2] Applying I-Fuzzy Partitions to Represent Sets of Fuzzy Partitions
    Torra, Vicenc
    Min, Ji-Hee
    [J]. ARTIFICIAL INTELLIGENCE RESEARCH AND DEVELOPMENT, 2010, 220 : 201 - 206
  • [3] Fuzzy equivalence relations and fuzzy partitions
    Department of Mathematics, SvF, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia
    不详
    [J]. J. Mult.-Valued Logic Soft Comput., 2006, 1-2 (167-181):
  • [4] Fuzzy equivalence relations and fuzzy partitions
    Mesiar, R
    Reusch, B
    Thiele, H
    [J]. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2006, 12 (1-2) : 167 - 181
  • [5] On the redundancy of fuzzy partitions
    Klement, EP
    Moser, B
    [J]. FUZZY SETS AND SYSTEMS, 1997, 85 (02) : 195 - 201
  • [6] Connectives for fuzzy partitions
    Iancu, I
    [J]. FUZZY SETS AND SYSTEMS, 1999, 101 (03) : 509 - 512
  • [7] Fuzzy objects in spaces with fuzzy partitions
    Mockor, Jiri
    Holcapek, Michal
    [J]. SOFT COMPUTING, 2017, 21 (24) : 7269 - 7284
  • [8] On the redundancy of fuzzy partitions
    [J]. Fuzzy Sets Syst, 2 (195):
  • [9] THE FUZZINESS OF FUZZY PARTITIONS
    LOPEZALIGUE, FJ
    ACEVEDOSOTOCA, I
    JARMILLOMORAN, MA
    [J]. PATTERN RECOGNITION LETTERS, 1991, 12 (05) : 265 - 271
  • [10] Fuzzy objects in spaces with fuzzy partitions
    Jiří Močkoř
    Michal Holčapek
    [J]. Soft Computing, 2017, 21 : 7269 - 7284
12345