Data-Informed Fuzzy Measures for Fuzzy Integration of Intervals and Fuzzy Numbers
Data-Informed Fuzzy Measures for Fuzzy Integration of Intervals and Fuzzy Numbers
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DOI：
10.1109/tfuzz.2014.2382133
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发表时间：
2015-10-01
影响因子：
11.9
通讯作者：
Wagner, Christian
中科院分区：
文献类型：
--
作者：
Havens, Timothy C.;Anderson, Derek T.;Wagner, Christian
关于模糊测度（FM）的模糊积分（FI）是一种强有力的信息集结方法。最流行的FI是Choquet和Sugeno，大多数研究都集中在这两个变体上。FM的竞技场更加拥挤，包括数值推导的FM，如Sugeno可分解测度和可分解测度，专家定义的FM和数据通知的FM。数值推导和专家定义的FM的缺点是，必须知道一些关于输入源的相对值。然而，在无法获得这一信息的情况下存在许多问题，例如众包。本文重点关注数据知情的FM，或者那些通过分析输入数据本身的某些属性的算法计算的FM，通过它们提供的数据收集每个输入源的重要性。数据通知FM的原始实例是协议FM，它为数字上彼此一致的源组合分配高置信度。本文扩展了我们以前的工作，在数据知情的FM提出的唯一性措施和附加措施的协议区间值证据。然后，我们扩展数据知情的FM模糊数（FN）值的输入。我们证明了拟议的FM通过聚合区间和FN证据与Choquet和Sugeno FI的合成和真实世界的数据。
The fuzzy integral (FI) with respect to a fuzzy measure (FM) is a powerful means of aggregating information. The most popular FIs are the Choquet and Sugeno, and most research focuses on these two variants. The arena of the FM is much more populated, including numerically derived FMs such as the Sugeno lambda-measure and decomposable measure, expert-defined FMs, and data-informed FMs. The drawback of numerically derived and expert-defined FMs is that one must know something about the relative values of the input sources. However, there are many problems where this information is unavailable, such as crowdsourcing. This paper focuses on data-informed FMs, or those FMs that are computed by an algorithm that analyzes some property of the input data itself, gleaning the importance of each input source by the data they provide. The original instantiation of a data-informed FM is the agreement FM, which assigns high confidence to combinations of sources that numerically agree with one another. This paper extends upon our previous work in data-informed FMs by proposing the uniqueness measure and additive measure of agreement for interval-valued evidence. We then extend data-informed FMs to fuzzy number (FN)-valued inputs. We demonstrate the proposed FMs by aggregating interval and FN evidence with the Choquet and Sugeno FIs for both synthetic and real-world data.