A MEASURE-THEORETIC AXIOMATIZATION OF FUZZY-SETS

被引:12
作者
BOLLMANNSDORRA, P
WONG, SKM
YAO, YY
机构
[1] UNIV REGINA, DEPT COMP SCI, REGINA S4S 0A2, SK, CANADA
[2] TECH UNIV BERLIN, BERLIN, GERMANY
[3] LAKEHEAD UNIV, DEPT MATH SCI, THUNDER BAY P7B 5E1, ON, CANADA
关键词
AXIOMATIZATION OF FUZZY SETS; FUZZY COMPONENT STRUCTURE; FUZZY MEMBERSHIP STRUCTURE; FUZZY SETS; FUZZY SYSTEM STRUCTURE; MEASUREMENT THEORY;
D O I
10.1016/0165-0114(93)90440-S
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Using measurement theory, this paper examines three empirical structures that underlie the representation of fuzzy sets: the fuzzy membership structure, the fuzzy component structure, and the fuzzy system structure. These qualitative structures justify the use of the standard min-max system to represent fuzzy sets. The results of this study facilitate the development of a sound measurement-theoretic axiomatization of fuzzy systems.
引用
收藏
页码:295 / 307
页数:13
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