Why x+y-xy is called probabilistic OR?

savinov@usa.net
Mon, 2 Mar 1998 17:54:01 +0100 (MET)

Could anyone explain a connection between the operation
x+y-xy and probabilities. That is, the question is

- Why this operation is referred to as probabilistic OR, what is the
justification of this name, and what is the connection with probabilistic
theories? I am interested why it is just x+y-xy that is used for
probabilistic OR, and not x+y, max(x,y) or something else.

I need this since I have formal difficulties in applying it as
probabilstic OR in my reasoning, it does not work as it should,
there are some inconsistencies. In particular, it has to be formally
dual to the probabilistic AND operation.

I would greatly appriciate some explanation and/or references
(preferebly online).

Thanks.

Sincerely,

Alexandr A. Savinov

--
Alexandr A. Savinov, PhD -- Scientific Collaborator, Laboratory of AI Systems
Inst. Math., Moldavian Acad. Sci., str. Academiei 5,  MD-2028 Kishinev,
Moldavia
Tel: +3732-73-81-30, Fax: +3732-73-80-27, E-mail: savinov@math.moldova.su
URL: http://www.geocities.com/ResearchTriangle/7220/

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