MODIFIED CONCEPTS OF LOGIC, PROBABILITY, AND INFORMATION BASED ON GENERALIZED CONTINUOUS CHARACTERISTIC FUNCTION

被引：24

作者：

WATANABE, S

机构：

[1] University of Hawaii, Honolulu, HI

来源：

INFORMATION AND CONTROL | 1969年 / 15卷 / 01期

关键词：

D O I：

10.1016/S0019-9958(69)90581-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

All the basic laws of the traditional logic can be derived from the characteristic function f(A/a) which is 1 or 0 according as object a satisfies predicate A or not. There is good reason to believe that it is worthwhile to extend this formalism to the case where f(A/a) can take any value in the continuous domain [0, 1]. The implications of this generalization to the concepts of logic, probability and information theory are studied. © 1976 Academic Press, Inc.

引用

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