A fuzzy logic system based on Schweizer-Sklar t-norm

被引：0
|
作者：
Xiaohong Zhang
Huacan He
Yang Xu
机构：
[1] Ningbo University,Faculty of Science
[2] Northwestern Polytechnical University,School of Computer Science
[3] Southwest Jiaotong University,Department of Applied Mathematics
来源：
Science in China Series F: Information Sciences | 2006年 / 49卷
关键词：
t-norm; fuzzy logic system UL; completeness; UL; -algebras; approximate reasoning;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the Schweizer-Sklar t-norm, a fuzzy logic system UL* is established, and its soundness theorem and completeness theorem are proved. The following facts are pointed out: the well-known formal system SBL∼ is a semantic extension of UL*; the fuzzy logic system IMTLΔ is a special case of UL* when two negations in UL* coincide. Moreover, the connections between the system UL* and some fuzzy logic formal systems are investigated. Finally, starting from the concepts of “the strength of an ‘AND’ operator” by R.R. Yager and “the strength of fuzzy rule interaction” by T. Whalen, the essential meaning of a parameter p in UL* is explained and the use of fuzzy logic system UL* in approximate reasoning is presented.
引用
收藏
页码：175 / 188
页数：13
相关论文
共 50 条
  • [1] A fuzzy logic system based on Schweizer-Sklar t-norm
    ZHANG Xiaohong1
    2. School of Computer Science
    3. Department of Applied Mathematics
    ScienceinChina(SeriesF:InformationSciences), 2006, (02) : 175 - 188
  • [2] 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
  • [3] Prioritized aggregation operators based on Schweizer-Sklar t-norm for linear Diophantine fuzzy sets and their application in green sustainable chain
    Tehreem
    Garg, Harish
    Liu, Xiaodi
    Emam, Walim
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 82 : 587 - 600
  • [4] Fuzzy combination algorithm of ensemble learning based on Schweizer-Sklar triangular norm
    Jia, Pengtao, 1600, Sila Science, University Mah Mekan Sok, No 24, Trabzon, Turkey (32):
  • [5] A novel multiple attribute decision-making method based on Schweizer-Sklar t-norm and t-conorm with q-rung dual hesitant fuzzy information
    Xu, Yuan
    Wang, Jun
    ARCHIVES OF CONTROL SCIENCES, 2022, 32 (01) : 175 - 228
  • [6] Triple I algorithms based on Schweizer-Sklar operators in fuzzy reasoning
    Luo, Minxia
    Yao, Ning
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2013, 54 (05) : 640 - 652
  • [7] Robustness of Fuzzy Reasoning Based on Schweizer-Sklar Interval-valued t-Norms
    Luo, Min-Xia
    Cheng, Ze
    FUZZY INFORMATION AND ENGINEERING, 2016, 8 (02) : 183 - 198
  • [8] Algebraic semantics for t-norm based fuzzy logic
    Gispert, Joan
    NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL I, PROCEEDINGS, 2007, : 19 - 19
  • [9] An extended picture fuzzy MULTIMOORA method based on Schweizer-Sklar aggregation operators
    Tian, Chao
    Peng, Juan Juan
    Zhang, Zhi Qiang
    Wang, Jian Qiang
    Goh, Mark
    SOFT COMPUTING, 2022, 26 (07) : 3435 - 3454
  • [10] Interval-valued fuzzy reasoning algorithms based on Schweizer-Sklar t-norms and its application
    Luo, Minxia
    Zhao, Ruirui
    Liu, Bei
    Liang, Jingjing
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2020, 87 (87)
12345