کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
397689 1438467 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Independence and 2-monotonicity: Nice to have, hard to keep
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Independence and 2-monotonicity: Nice to have, hard to keep
چکیده انگلیسی

In imprecise probability theories, independence modeling and computational tractability are two important issues. The former is essential to work with multiple variables and multivariate spaces, while the latter is essential in practical applications. When using lower probabilities to model uncertainty about the value assumed by a variable, satisfying the property of 2-monotonicity decreases the computational burden of inference, hence answering the latter issue. In a first part, this paper investigates whether the joint uncertainty obtained by main existing notions of independence preserve the 2-monotonicity of marginal models. It is shown that it is usually not the case, except for the formal extension of random set independence to 2-monotone lower probabilities. The second part of the paper explores the properties and interests of this extension within the setting of lower probabilities.


► We show that classical independence model do not preserve 2-monotonicity.
► We propose an outer-approximating 2-monotone joint model based on the Mobius inverse.
► We study its properties, in terms of factorization and computation.
► We provide a simple illustration on a multi-criteria analysis problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Approximate Reasoning - Volume 54, Issue 4, June 2013, Pages 478–490
نویسندگان
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