SOME ALGEBRAIC PROPERTIES OF WEAKLY NONINTERACTIVE FUZZY NUMBERS

被引:3
作者
KAWAGUCHI, MF
DATE, T
机构
关键词
FUZZY NUMBERS; FUZZY ARITHMETIC; ALGEBRA; SUP-(T-NORM) CONVOLUTION;
D O I
10.1016/0165-0114(94)90184-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This study focuses on the concept of sup-(t-norm) convolution, a generalized version of Zadeh's extension principle. The authors treat the algebraic structure of fuzzy arithmetic based on the sup-(t-norm) convolution, and especially show some new properties comparing them with those of the conventional fuzzy arithmetic based on sup-min convolution.
引用
收藏
页码:281 / 291
页数:11
相关论文
共 33 条
  • [1] ANALYTIC FORMALISM OF THEORY OF FUZZY SETS
    BELLMAN, R
    GIERTZ, M
    [J]. INFORMATION SCIENCES, 1973, 5 : 149 - 156
  • [2] ON THE ALGEBRA OF INTERACTIVE FUZZY NUMBERS - THE CONTINUOUS CASE
    BUCKLEY, JJ
    [J]. FUZZY SETS AND SYSTEMS, 1990, 37 (03) : 317 - 326
  • [3] ON THE ALGEBRA OF INTERACTIVE FUZZY NUMBERS
    BUCKLEY, JJ
    [J]. FUZZY SETS AND SYSTEMS, 1989, 32 (03) : 291 - 306
  • [4] ON THE EXTENSION OF CLASSICAL PROPOSITIONAL LOGIC BY MEANS OF A TRIANGULAR NORM
    DECOOMAN, G
    KERRE, EE
    CAPPELLE, B
    DA, R
    VANMASSENHOVE, F
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 1990, 5 (03) : 307 - 322
  • [5] PROCESSING OF FUZZY NUMBERS BY FUZZY RELATION EQUATIONS
    DINOLA, A
    PEDRYCZ, W
    SESSA, S
    [J]. KYBERNETES, 1986, 15 (01) : 43 - 47
  • [6] Dubois, 1980, FUZZY SETS FUZZY SYS
  • [7] ADDITIONS OF INTERACTIVE FUZZY NUMBERS
    DUBOIS, D
    PRADE, H
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) : 926 - 936
  • [8] Dubois D., 1979, Fuzzy Sets and Systems, V2, P327, DOI 10.1016/0165-0114(79)90005-8
  • [9] Dubois D., 1984, Control and Cybernetics, V13, P129
  • [10] Dubois D., 1987, ANAL FUZZY INFORMATI, V1, P3