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Expressing and fusion computing of uncertain or imprecise digital information of multi-channel discrete quantity

  • Fuzzy systems and their mathematics
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Abstract

In this paper, we study the problems of expressing and processing of multi-channel uncertain digital information with discrete real number quantity attribute. The main works are as follows: (1) The concept of ellipsoid type fuzzy number on a high-dimensional quasi-finite set (which is a kind of high dimensional discrete fuzzy numbers) is proposed and its properties are investigated. (2) A method of constructing such kind of fuzzy number which can be used to represent multi-channel uncertain or imprecise discrete digital information is given. (3) The concept of weighted centroid value of such discrete fuzzy number is introduced, a fuzzy binary relation on space of such discrete fuzzy numbers is set up, and their properties are investigated. (4) Via a specific application example, a method classifying multi-channel uncertain or imprecise discrete digital information set is established based on the results obtained by us.

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Authors and Affiliations

  1. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China

    Tengfei Wang

  2. School of Electrical and Mechanical Engineering, The University of Adelaide, SA 5005, Australia

    Peng Shi

  3. Research and Innovation Centre, Obuda University, 1034, Budapest, Hungary

    Peng Shi

Authors
  1. Tengfei Wang
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  2. Peng Shi
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Contributions

TW he put forward the main idea of this paper and wrote it. PS as Tengfei Wang’s doctoral supervisor, he provided some new ideas and guided Tengfei Wang to solve some difficulties encountered in writing this paper.

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Correspondence to Tengfei Wang.

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Wang, T., Shi, P. Expressing and fusion computing of uncertain or imprecise digital information of multi-channel discrete quantity. Soft Comput 28, 929–943 (2024). https://doi.org/10.1007/s00500-023-09371-7

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  • DOI: https://doi.org/10.1007/s00500-023-09371-7

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