On possibility and probability measures in finite Boolean algebras

被引：0

作者：

Castineira, E

Cubillo, S

Trillas, E

机构：

[1] Univ Politecn Madrid, Dept Matemat Aplicada, E-28660 Madrid, Spain

[2] Univ Politecn Madrid, Dept Inteligencia Artificial, E-28660 Madrid, Spain

来源：

SOFT COMPUTING | 2002年 / 7卷 / 02期

关键词：

possibility; probability; necessity; distance;

D O I：

10.1007/S00500-002-0176-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we study what possibility and necessity measures are like in a finite Boolean algebra, establishing a classification of possibility measures in this type of algebras. The relation between probability and possibility measures is studied. Some conditions for obtaining probabilities that are coherent with a possibility are given. Lastly, Euclidean distance is used for finding probabilities that are close to a given possibility. Also the closest probability is identified and turns out to be coherent.

引用

页码：89 / 96

页数：8