Bridging gaps between several forms of granular computing
Bridging gaps between several forms of granular computing
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DOI：
10.1007/s41066-015-0008-8
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发表时间：
2016-01
影响因子：
5.5
通讯作者：
D. Dubois;H. Prade
中科院分区：
文献类型：
--
作者：
D. Dubois;H. Prade
Zadeh对模糊逻辑和近似推理的开创性贡献的两个重要核心思想是粒化和可能性不确定性的概念。在本文中，在作者最近揭露的可能性理论和形式概念分析之间的一些形式类比的基础上，我们提出了以粒化概念为中心的理论之间的其他桥梁。我们强调了关于相似关系的扩展模糊集的概念与形式概念的概念之间的共同特征。我们还讨论了模糊粗糙集的情况。因此，我们指出了信息的可能性表示和一些颗粒化观点之间的一些富有成效的交叉受精，强调了可以根据它们的接近程度或它们在性质方面的共同标记分别识别的点簇的想法。
Two important ideas at the core of Zadeh’s seminal contributions to fuzzy logic and approximate reasoning are the notions of granulation and that of possibilistic uncertainty. In this paper, elaborating on the basis of some formal analogy, recently laid bare by the authors, between possibility theory and formal concept analysis, we suggest other bridges between theories for which the concept of granulation is central. We highlight the common features between the notion of extensional fuzzy set with respect to a similarity relation and the notion of formal concept. We also discuss the case of fuzzy rough sets. Thus, we point out some fruitful cross-fertilizations between the possibilistic representation of information and several views of granulation emphasizing the idea of clusters of points that can be identified respectively on the basis of their closeness, or of their common labeling in terms of properties.