ON FUZZINESSTIC MEASURES OF ENTROPY ON KLEENE ALGEBRAS

被引：9
作者：
BATYRSHIN, IZ
机构：
[1] Kazan Institute of Chemical Technology
来源：
FUZZY SETS AND SYSTEMS | 1990年 / 34卷 / 01期
关键词：
De Morgan algebra; distributive lattice; Kleene algebra; measure of entropy; measure of fuzziness; metric; valuation;
D O I：
10.1016/0165-0114(90)90126-Q
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The concept of measure of fuzziness is generalized to the arbitrary Kleene algebras. It is shown that these measures characterize Kleene algebras in the class of De Morgan algebras. The algebra of fuzzy sets of Zadeh belongs to the class of Kleene algebras with central element. In these algebras one-to-one correspondence between the measures of entropy and metrics is established. © 1990.
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页码：47 / 60
页数：14
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