On fuzzy equality and approximation in fuzzy logic

被引：0
作者：
Novák, V [1 ]
机构：
[1] Univ Ostrava, Inst Res & Appl Fuzzy Modeling, Ostrava 70103, Czech Republic
来源：
SOFT COMPUTING | 2004年 / 8卷 / 10期
关键词：
fuzzy logic; fuzzy equality; evaluated syntax; fuzzy approximation;
D O I：
10.1007/s00500-003-0324-9
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The paper is a contribution to the theory of fuzzy logic in narrow sense with evaluated syntax (FLn). We show that the concepts of fuzzy equality and the provability degree enable to generalize the concept of fuzzy approximation. In the second part of the paper we return to the Mamdani-Assilian formula, which is formed on the basis of the so called totally bounded fuzzy equality and using which we can approximate any function with the prescribed accuracy.
引用
收藏
页码：668 / 675
页数：8
相关论文
共 15 条
  • [1] [Anonymous], 1999, Mathematical Principles of Fuzzy Logic, DOI DOI 10.1007/978-1-4615-5217-8
  • [2] Belohlávek R, 2001, FUND INFORM, V46, P277
  • [3] HAJEK P, 2000, WISS BERICHTE ZITTAU, V64, P2
  • [4] Hajek P, 1998, Trends in Logic
  • [5] HOHLE U, 1999, APPL LOG SER, V15, P7
  • [6] EQUALITY RELATIONS AS A BASIS FOR FUZZY CONTROL
    KLAWONN, F
    KRUSE, R
    [J]. FUZZY SETS AND SYSTEMS, 1993, 54 (02) : 147 - 156
  • [7] Klawonn F, 2000, STUD FUZZ SOFT COMP, V57, P431
  • [8] Novak V., 2000, Neural Network World, V10, P869
  • [9] NOVAK V, 2001, ACTA MATH INFORMATIO, V9, P59
  • [10] NOVAK V, 1992, ALTERNATIVE MATH MOD
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