Regranulation: A granular algorithm enabling communication between granular worlds

Dick S; Schenker A; Pedrycz W; Kandel A

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Regranulation: A granular algorithm enabling communication between granular worlds

机译：Regranulation：一种粒度算法，支持粒度世界之间的通信

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In this paper, we describe a granular algorithm for translating information between two granular worlds, represented as fuzzy rulebases. These granular worlds are defined on the same universe of discourse, but employ different granulations of this universe. In order to translate information from one granular world to the other, we must regranulate the information so that it matches the information granularity of the target world. This is accomplished through the use of a first-order interpolation algorithm, implemented using linguistic arithmetic, a set of elementary granular computing operations. We first demonstrate this algorithm by studying the common "fuzzy-PD" rulebase at several different granularities, and conclude that the "3 x 3" granulation may be too coarse for this objective. We then examine the question of what the "natural" granularity of a system might be; this is studied through a 10-fold cross-validation experiment involving three-different granulations of the same underlying mapping. For the problem under consideration, we find that a 7 x 7 granulation appears to be the minimum necessary precision. (C) 2006 Elsevier Inc. All rights reserved.

机译：在本文中，我们描述了一种在两个粒度世界之间转换信息的粒度算法，表示为模糊规则库。这些粒状世界是在同一个话语宇宙中定义的，但使用了该宇宙的不同粒度。为了将信息从一个粒度世界转换为另一粒度世界，我们必须重新定义信息，使其与目标世界的信息粒度相匹配。这是通过使用一阶插值算法来实现的，该算法使用语言算法（一组基本粒度计算操作）来实现。我们首先通过研究几种不同粒度的通用“ fuzzy-PD”规则库来演示该算法，并得出结论：“ 3 x 3”粒度对于该目标而言可能过于粗糙。然后，我们研究一个系统的“自然”粒度可能是什么的问题;这是通过10倍交叉验证实验研究的，该实验涉及相同基础图的三个不同的颗粒。对于所考虑的问题，我们发现7 x 7的颗粒度似乎是最低的必需精度。（C）2006 Elsevier Inc.保留所有权利。

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《Information Sciences: An International Journal》 |2007年第2期|共28页
作者
Dick S; Schenker A; Pedrycz W; Kandel A;
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正文语种 eng
中图分类自动化技术、计算机技术;
关键词
fuzzy systems; granular computing; granular worlds; granular algorithms; HETEROGENEOUS FUZZY DATA; INFORMATION GRANULATION; DECISION-MAKING; NUMBERS; LOGIC; AGGREGATION; OPERATORS; REPRESENTATION; METHODOLOGY; SYSTEMS;

机译：模糊系统;粒度计算;粒度世界;粒度算法;异构模糊数据;信息粒度;决策制定;数字;逻辑;聚集;运算符;表示法;方法论;系统;

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1. Regranulation: A granular algorithm enabling communication between granular worlds [J] . Dick S, Schenker A, Pedrycz W, Information Sciences: An International Journal . 2007,第2期

机译：Regranulation：一种粒度算法，支持粒度世界之间的通信
2. A novel dynamic RWA algorithm with intelligent granularity regulation in multi-granular all-optical networks [J] . Ching-Fang Hsu Computer Communications . 2007,第18期

机译：多粒度全光网络中具有智能粒度调节的动态RWA算法
3. Enabling polarisation filtering in wireless communications: models, algorithms and characteristics [J] . Cao B., Yu J., Wang Y., Communications, IET . 2013,第3期

机译：在无线通信中启用极化过滤：模型，算法和特性
4. A Note on Fuzzy Reasoning and Granularized Possible Worlds [C] . Tetsuya Murai, Van Nam Huynh, Yasuo Kudo, International Conference on Computing Anticipatory Systems . 2004

机译：关于模糊推理和颗粒化可能的世界的说明
5. Algorithms Enabling Communications in the Presence of Adjacent Channel Interference [D] . Pek?z, Berker. 2020

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6. Granular Computing Classification Algorithms Based on Distance Measures between Granules from the View of Set [O] . Hongbing Liu, Chunhua Liu, Chang-an Wu 2014

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7. Enabling transparent technologies for the development of highly granular flexible optical cross-connects [O] . Klonidis, D., Sygletos, S., Marom, D.M., 2014

机译：启用透明技术来开发高度颗粒的柔性光学交叉连接

Regranulation: A granular algorithm enabling communication between granular worlds

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