Conditional probability, fuzzy sets, and possibility: a unifying view
Conditional probability, fuzzy sets, and possibility: a unifying view
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DOI：
10.1016/j.fss.2003.10.022
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发表时间：
2004-05-16
影响因子：
3.9
通讯作者：
Scozzafava, R
中科院分区：
文献类型：
--
作者：
Coletti, G;Scozzafava, R
我们提出了一种解释模糊集理论（从语义和句法的角度来看）的条件事件和连贯的条件概率。在过去的几年中，大量的论文一直致力于支持要么论文，概率论是所有需要推理的不确定性，或消极的观点，保持概率是不足以捕捉什么是通常处理的模糊理论。在本文中，我们强调的作用条件反射（在一个适当的框架，即德Finetti的连贯性），以摆脱许多有争议的方面。此外，我们引入了合适的操作之间的模糊子集，视为对应的操作之间的条件事件赋予相关的条件概率。最后，我们展示了可能性函数的概念是如何自然地作为一个连贯的条件概率出现的。(C)2003 Elsevier B.V.保留所有权利。
We propose an interpretation of fuzzy set theory (both from a semantic and a syntactic point of view) in terms of conditional events and coherent conditional probabilities. During past years, a large number of papers has been devoted to support either the thesis that probability theory is all that is required for reasoning about uncertainty, or the negative view maintaining that probability is inadequate to capture what is usually treated by fuzzy theory. In this paper we emphasize the role of conditioning (in a proper framework, i.e. de Finetti's coherence) to get rid of many controversial aspects. Moreover, we introduce suitable operations between fuzzy subsets, looked on as corresponding operations between conditional events endowed with the relevant conditional probability. Finally, we show how the concept of possibility function naturally arises as a coherent conditional probability. (C) 2003 Elsevier B.V. All rights reserved.