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2010 IEEE International Conference on Granular Computing, 2010
We present here a formal syntax and semantics for a notion of a descriptive granularity. We do so in terms of three abstract models: Descriptive, Semantic, and Granular. The descriptive model formalizes the syntactical concepts and properties of the data mining, or learning process. Semantic model formalizes its semantical properties.
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We present here a formal syntax and semantics for a notion of a descriptive granularity. We do so in terms of three abstract models: Descriptive, Semantic, and Granular. The descriptive model formalizes the syntactical concepts and properties of the data mining, or learning process. Semantic model formalizes its semantical properties.
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1997
Most people would agree that a formalisation of granularity in natural language should involve notions of abstraction and detail. However in reality, this concept has proved difficult to capture formally. In this paper we examine the role of granularity in constructing explanations. This role is clarified by providing several dimensions along which any
Sanjay Poria, Roberto Garigliano
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Most people would agree that a formalisation of granularity in natural language should involve notions of abstraction and detail. However in reality, this concept has proved difficult to capture formally. In this paper we examine the role of granularity in constructing explanations. This role is clarified by providing several dimensions along which any
Sanjay Poria, Roberto Garigliano
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IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2005
We are concerned with the granular representation of mappings (or experimental data) coming in the form R:R/spl rarr/[0,1] (for one-dimensional cases) and R:R/sup n//spl rarr/[0,1] (for multivariable cases) with R being a set of real numbers. As the name implies, a granular mapping is defined over information granules and maps them into a collection of
Andrzej Bargiela, Witold Pedrycz
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We are concerned with the granular representation of mappings (or experimental data) coming in the form R:R/spl rarr/[0,1] (for one-dimensional cases) and R:R/sup n//spl rarr/[0,1] (for multivariable cases) with R being a set of real numbers. As the name implies, a granular mapping is defined over information granules and maps them into a collection of
Andrzej Bargiela, Witold Pedrycz
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GrFCM – Granular Clustering of Granular Data
2019Granular computing is a new paradigm in data mining. It mimics a procedure commonly used by humans. A data granule may be defined as a collection of related entities in sense of similarity, proximity, indiscernibility. Nowadays granular computing focuses on elaboration of granules from data. This step in granular computing is well researched.
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Granular Computing: Granular Classifiers and Missing Values
6th IEEE International Conference on Cognitive Informatics, 2007Granular computing is a paradigm destined to study how to compute with granules of knowledge that are collective objects formed from individual objects by means of a similarity measure. The idea of granulation was put forth by Lotfl Zadeh: granulation is inculcated in fuzzy set theory by the very definition of a fuzzy set and inverse values of fuzzy ...
Lech Polkowski, Piotr Artiemjew
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From data to granular data and granular classifiers
2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014Information granules emerging as a result of an abstract and more condensed and global view at numeric data play an essential role in various pattern recognition pursuits. In this study, we investigate an idea of granular prototypes (representatives) and discuss their role in the realization of classification schemes.
Rami Al-Hmouz +3 more
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Granular representation and granular computing with fuzzy sets
Fuzzy Sets and Systems, 2012In this study, we introduce a concept of a granular representation of numeric membership functions of fuzzy sets, which offers a synthetic and qualitative view at fuzzy sets and their ensuing processing. The notion of consistency of the granular representation is formed, which helps regard the problem as a certain optimization task.
Adam Pedrycz +3 more
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Researches on granular reasoning based on granular space
2008 IEEE International Conference on Granular Computing, 2008Based on the method of mixing logical reasoning with granules, an extended reasoning, called granular reasoning, is introduced, which proceeds within the formulas defined in this paper, and is determined by operations of granules. The analyses indicate that granular reasoning includes the reasoning in rough logic.
Lin Yan 0002, Qing Liu 0011
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Granular modelling of signals: A framework of Granular Computing
Information Sciences, 2013In spite of the evident diversity of models of signals and time series, there is still an urgent need to develop constructs that are both accurate and highly interpretable (human-centric). While a great deal of research has been devoted to the design of nonlinear models of time series (with anticipation of achieving high accuracy of prediction), an ...
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SIGGRAPH Asia 2011 Art Gallery, 2011
Granular Graph II: The tank and the pendulum is an audio-visual interactive instrument about musical gesture and its notation. The idea is inspired by a pendulum-based scientific instrument called Harmonograph. In its simplest version, two pendulums are suspended through holes in a table.
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Granular Graph II: The tank and the pendulum is an audio-visual interactive instrument about musical gesture and its notation. The idea is inspired by a pendulum-based scientific instrument called Harmonograph. In its simplest version, two pendulums are suspended through holes in a table.
openaire +2 more sources