A construction of a fuzzy valued measure based on minimum T-norm

被引：0
|
作者：
Ruzha, Vochislav [1 ]
Asmuss, Svetlana [1 ]
机构：
[1] Latvian State Univ, Dept Math, LV-1002 Riga, Latvia
来源：
NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL II, PROCEEDINGS | 2007年
关键词：
fuzzy set; measure;
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：
In this paper we generalize the well known construction of "classic" measure theory to the fuzzy case. We consider such T-norm based classes of fuzzy sets as T-semirings and T-tribes (T - sigmaalgebras), such fuzzy valued functions as elementary T-measures, exterior T-measures and T-measures, find we suggest the construction of a T(M)-measure by extension of an elementary T(M)-measure on a T(M)-semiring to a T(M)-measure on a T(M)-tribe in the case of the minimum T-norm T(M).
引用
收藏
页码：175 / 177
页数：3
相关论文
共 50 条
  • [31] A fuzzy description logic with product t-norm
    Bobillo, Fernando
    Straccia, Umberto
    2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 651 - +
  • [32] A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm
    MarkovaStupnanova, A
    FUZZY SETS AND SYSTEMS, 1997, 91 (02) : 253 - 258
  • [33] Number-free Mathematics Based on T-norm Fuzzy Logic
    Behounek, Libor
    PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 449 - 454
  • [34] A fuzzy logic system based on Schweizer-Sklar t-norm
    ZHANG Xiaohong1
    2. School of Computer Science
    3. Department of Applied Mathematics
    Science in China(Series F:Information Sciences), 2006, (02) : 175 - 188
  • [35] Decision Algorithm for Interval Valued Intuitionistic Fuzzy Heronian Mean Aggregation Operators Based on Aczel Alsina T-Norm
    Zhang, Nan
    Ali, Asad
    Hussain, Abrar
    Ullah, Kifayat
    Yin, Shi
    IEEE ACCESS, 2024, 12 : 55302 - 55325
  • [36] Bipolar fuzzy relation equations systems based on the product t-norm
    Eugenia Cornejo, M.
    Lobo, David
    Medina, Jesus
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (17) : 5779 - 5793
  • [37] General theory on fuzzy subgroupoids with respect to a t-norm T
    Hao, J
    FUZZY SETS AND SYSTEMS, 2001, 117 (03) : 455 - 461
  • [38] A fuzzy logic system based on Schweizer-Sklar t-norm
    Xiaohong Zhang
    Huacan He
    Yang Xu
    Science in China Series F: Information Sciences, 2006, 49 : 175 - 188
  • [39] A fuzzy logic system based on Schweizer-Sklar t-norm
    Zhang Xiaohong
    He Huacan
    Xu Yang
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (02): : 175 - 188
  • [40] Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm
    Naka, Krisanthi
    Hila, Kostaq
    Onar, Serkan
    Ersoy, Bayram Ali
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2019, 11 (02) : 306 - 331
12345