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Conference on Computer Science and Information Technologies

CSIT 2020: Advances in Intelligent Systems and Computing V pp 306–323Cite as

Intersection of Fuzzy Homogeneous Classes of Objects

Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 1293)

Abstract

Dynamic generation of new knowledge representation structures and their further integration into the knowledge base, while analys-ing and processing of new fuzzy knowledge and knowledge sources, is an important feature of modern intelligent systems. Such functionality can be implemented via operations defined over knowledge representation structures, in particular set-theoretic ones. Therefore concepts of fuzzy homogeneous class of objects and universal intersection exploiter of fuzzy homogeneous classes of objects within such a knowledge representation model as fuzzy object-oriented dynamic networks were introduced in the paper. Proposed universal exploiter computes the intersection of two fuzzy homogeneous classes of objects via construction of new fuzzy homogeneous class of object, which consists of their common (equivalent) properties and methods, if such class exists. To implement the introduced universal intersection exploiter of fuzzy homogeneous classes of objects, the corresponding algorithm was developed and described in the paper. Proposed approach provides an opportunity to compare new extracted or acquired fuzzy knowledge with previously obtained ones, and to detect their equivalent parts by creation of corresponding fuzzy homogeneous classes of objects. Computed intersection of fuzzy homogeneous classes of objects can be used for the efficient integration of the new fuzzy knowledge into the knowledge base, avoiding such kinds of redundancy as similarity and inclusion. The main idea of the proposed approach is illustrated with the particular example of intersection of fuzzy homogeneous classes of objects.

Keywords

  • Fuzzy class
  • Fuzzy type
  • Universal intersection exploiter
  • Intersection of fuzzy classes

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  • DOI: 10.1007/978-3-030-63270-0_21
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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Dmytro O. Terletskyi & Oleksandr I. Provotar

Authors
  1. Dmytro O. Terletskyi
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  2. Oleksandr I. Provotar
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Correspondence to Dmytro O. Terletskyi .

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Editors and Affiliations

  1. Department of Artificial Intelligence, Lviv Polytechnic National University, Lviv, Ukraine

    Prof. Natalya Shakhovska

  2. Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Lviv, Ukraine

    Prof. Mykola O. Medykovskyy

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Terletskyi, D.O., Provotar, O.I. (2021). Intersection of Fuzzy Homogeneous Classes of Objects. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing V. CSIT 2020. Advances in Intelligent Systems and Computing, vol 1293. Springer, Cham. https://doi.org/10.1007/978-3-030-63270-0_21

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