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Journal of Automation and Information Sciences

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Clustering of Composite Fuzzy Numbers Aggregate Based on Sets of Scalar and Vector Levels

Volumen 50, Edición 10, 2018, pp. 47-59
DOI: 10.1615/JAutomatInfScien.v50.i10.40
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SINOPSIS

A new method for formalizing fuzziness in the form of composite fuzzy numbers is proposed. The axiomatics of such representation is considered, the notion of sets of scalar and vector levels is introduced, procedures for calculating distances between data are formulated. Based on developed models and methods the problems of grouping the states of the fuzzy system described by a set of composite fuzzy numbers using sets of scalar and vector levels are considered and solved. The main idea of the developed clustering algorithms is to calculate and use the distance values between the elements of the corresponding sets of a given scalar or vector level taking into account the error value determined on a rectangular grid covering a set of initial data. The proposed algorithms allow us to formalize the search for cluster centers of a set of composite fuzzy numbers and to implement the procedures for data grouping within a predetermined or automatically generated number of clusters during the course of the algorithm. Conditions for constructive use of clustering algorithms are considered. The proposed approach is a modification of existing clustering methods adapted to processing of fuzzy data of a special kind. Examples of this approach application to solving practical problems are given and the results of numerical experiments are analyzed.

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CITADO POR
  1. Oletsky O. V., Ivohin E. V., Formalizing the Procedure for the Formation of a Dynamic Equilibrium of Alternatives in a Multi-Agent Environment in Decision-Making by Majority of Votes, Cybernetics and Systems Analysis, 57, 1, 2021. Crossref

  2. Huang Dakun, Wang Jing, Wen Zhicheng, Parallel FCM clustering algorithm of fuzzy number based on cut set, Journal of Computational Methods in Sciences and Engineering, 21, 4, 2021. Crossref

  3. Ivokhin E. V., Oletsky O. V., Restructuring of the Model “State–Probability of Choice” Based on Products of Stochastic Rectangular Matrices, Cybernetics and Systems Analysis, 58, 2, 2022. Crossref

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