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Design of granular interval-valued information granules with the use of the principle of justifiable granularity and their applications to system modeling of higher type

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Abstract

Information granules, along with their processing constitute a core of granular computing, which provides a unified conceptual and algorithmic framework for designing and analyzing intelligent systems. In this study, we engage a principle of justifiable granularity as a way of forming type-1 and type-2 information granules—granular interval-valued information granules, whose descriptors are intervals themselves rather than numeric entities. A two-phase design process is presented: first, intervals (viz. information granules of type-1) are constructed based on available experimental data. Second, considering the data that have not been “covered” by the intervals (the data one can refer to as residual granular data), we construct their bounds in the form of information granules (instead of numeric values) thereby giving rise to the concept of granular intervals, namely information granules of type-2. A series of experiments are provided that focus on sensor fusion formed with the aid of information granules and granular system modeling of type-1 and type-2.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61374068, 61472295, the Recruitment Program of Global Experts, and the Science and Technology Development Fund, MSAR, under Grant No. 066/2013/A2.

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Authors and Affiliations

  1. School of Electro-Mechanical Engineering, Xidian University, Xi’an, 710071, China

    Dan Wang, Witold Pedrycz & Zhiwu Li

  2. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2R3, Canada

    Witold Pedrycz

  3. Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau, China

    Zhiwu Li

  4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Witold Pedrycz

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  1. Dan Wang
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  2. Witold Pedrycz
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  3. Zhiwu Li
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Correspondence to Zhiwu Li.

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We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be constructed as influencing the position presented in, or the review of, the manuscript entitled “Design of granular interval-valued information granules with the use of the principle of justifiable granularity and their applications to system modeling of higher type”.

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Communicated by A. Di Nola.

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Wang, D., Pedrycz, W. & Li, Z. Design of granular interval-valued information granules with the use of the principle of justifiable granularity and their applications to system modeling of higher type. Soft Comput 20, 2119–2134 (2016). https://doi.org/10.1007/s00500-015-1904-1

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