Possibility theory

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منابع مشابه

Possibility Theory Ii Conditional Possibility

It is shown that the notion of conditional possibility can be consistently introduced in possibility theory, in very much the same way as conditional expectations and probabilities are defined in the measureand integral-theoretic treatment of probability theory. I write down possibilistic integral equations which are formal counterparts of the integral equations used to define conditional expec...

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Integration in Possibility Theory

The paper discusses integration in possibility theory, both in an ordinal and in a numerical (behavioral) context. It is shown that in an ordinal context, the fuzzy integral has an important part in at least three areas: the extension of possibility measures to larger domains, the construction of product measures from marginals and the definition of conditional possibilities. In a numerical (be...

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Nonmonotonic Reasoning via Possibility Theory

I I I I We introduce the operation of possibility qualification and show how I this modal-like operator can be used to represent "typical" or default knowledge in a theory of nonmonotonic reasoning. We investigate the representational power of this ·approach I by· looking at a number of prototypical problems from the nonmonotoni� reasoning literature. particular we look at the so called Yale sh...

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Possibility Theory Iii Possibilistic Independence

The introduction of the notion of independence in possibility theory is a problem of long-standing interest. Many of the measure-theoretic definitions that have up to now been given in the literature face some difficulties as far as interpretation is concerned. Also, there are inconsistencies between the definition of independence of measurable sets and possibilistic variables. After a discussi...

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A Dispositional Theory of Possibility

The paper defends a naturalistic version of modal actualism according to which what is metaphysically possible is determined by dispositions found in the actual world. We argue that there is just one world – this one – and that all genuine possibilities are grounded in the dispositions exemplified in it. This is the case whether or not those dispositions are manifested. As long as the possibili...

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ژورنال

عنوان ژورنال: Scholarpedia

سال: 2007

ISSN: 1941-6016

DOI: 10.4249/scholarpedia.2074