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Union of Fuzzy Homogeneous Classes of Objects

  • Jul 23, 2021
  • Dmytro Terletskyi +1 more
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Abstract

Abstract Dynamic extraction of new knowledge and their further representation using a particular knowledge representation model are critically important tasks for most modern knowledge-based systems. To perform them a system should be able to generate appropriate knowledge structures, analyze and compare extracted knowledge with previously obtained ones, and then integrate new knowledge into the knowledge base in the proper way. Within the object-oriented approach, classes, objects, and relations among them are the main knowledge structures, consequently, these tasks can be done via using special operations defined over them, in particular, universal exploiters of classes and objects. Therefore we introduce in the paper concepts of a fuzzy inhomogeneous class of objects and universal union exploiter of fuzzy homogeneous classes of objects within such a knowledge representation model as fuzzy object-oriented dynamic networks. The proposed exploiter allows computing of the union of two fuzzy homogeneous classes of objects via the construction of a new fuzzy inhomogeneous class of objects, which simultaneously defines both fuzzy types determined by these classes, that allows avoiding of representation redundancy and provides effective integration of new classes into the knowledge base. We developed the algorithm, which implements the idea of the proposed universal exploiter, and provided examples of its application. The proposed exploiter can be adapted and integrated into a particular object-oriented knowledge representation model.KeywordsFuzzy classFuzzy typeUniversal union exploiterUnion of fuzzy classes

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