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Possibility theory: Conditional independence

Fuzzy Sets and Systems, 2006
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COLETTI, Giulianella, Vantaggi B.
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Independence and Possibilistic Conditioning

Annals of Mathematics and Artificial Intelligence, 2002
There is not a unique definition of a conditional possibility distribution since the concept of conditioning is complex and many papers have been conducted to define conditioning in a possibilistic framework. In most cases, independence has been also defined and studied by means of a kind of analogy with the probabilistic case.
Bouchon-Meunier, Bernadette, Coletti, Giulianella, Marsala, Christophe   +2 more
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Totally Ordered Conditional Independence Models

Journal of Mathematical Sciences, 2023
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Gauraha, N., von Rosen, D.
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Independence in conditional possibility theory

2006
This chapter proposes a notion of independence in the conditional possibility theory, which encompasses the critical situations presented by other independence definitions. The conditional possibility is directly defined as a function on a set (with a suitable algebraic structure) of conditional events, in such a way that π (.
COLETTI, Giulianella, Vantaggi B.
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Independence, Conditional Expectation

2016
The notions of statistical independence, conditional expectation and conditional probability are the cornerstones of probability theory.
Rabi Bhattacharya, Edward C. Waymire
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Conditional Probability/Independence

1989
We will motivate the definition of conditional probability by looking at a particular case wherein we can count. As before, we let #(A) denote the number of elements in the set A.
Hung T. Nguyen, Gerald S. Rogers
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Testing for Conditional Multiple Marginal Independence

Biometrics, 2002
Summary. Survey respondents are often prompted to pick any number of responses from a set of possible responses. Categorical variables that summarize this kind of data are called pick any/c variables. Counts from surveys that contain a pick any/c variable along with a group variable (r levels) and stratification variable (q levels) can be marginally ...
Bilder, Christopher R., Loughin, Thomas M.   +1 more
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Independence Conditionals

2023
Nicole Cruz, David E. Over
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Arrow’s Independence Condition

1974
Arrow’s IIA condition requires that every subset S of A be independent in the sense that whenever the individual preference relations between alternatives in S are known, the social choice set C(S) is unaffected by individual rankings of alternatives not in S.
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