Building the fundamentals of granular computing: A principle of justifiable granularity |
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| Authors: | Witold Pedrycz Wladyslaw Homenda |
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| Affiliation: | 1. Department of Electrical & Computer Engineering, University of Alberta, Edmonton T6R 2V4 AB, Canada;2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland;4. Faculty of Mathematics and Information Science, Warsaw University of Technology, pl. Politechniki 1, 00-660 Warsaw, Poland |
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| Abstract: | The study introduces and discusses a principle of justifiable granularity, which supports a coherent way of designing information granules in presence of experimental evidence (either of numerical or granular character). The term “justifiable” pertains to the construction of the information granule, which is formed in such a way that it is (a) highly legitimate (justified) in light of the experimental evidence, and (b) specific enough meaning it comes with a well-articulated semantics (meaning). The design process associates with a well-defined optimization problem with the two requirements of experimental justification and specificity. A series of experiments is provided as well as a number of constructs carried for various formalisms of information granules (intervals, fuzzy sets, rough sets, and shadowed sets) are discussed as well. |
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| Keywords: | Granular computing Information granules Design of granules Justifiable granularity Fuzzy sets Intervals |
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