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Journal of Automation and Information Sciences

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Classification of Fuzzy Problems of Optimal Sets Partition and Some Approaches to Their Solution

Volume 41, Edição 1, 2009, pp. 15-26
DOI: 10.1615/JAutomatInfScien.v41.i1.30
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RESUMO

The classification of fuzzy problems of optimal sets partition is presented. Consideration is given to three approaches to solving problems of optimal partitioning of sets in case of fuzzy set of admissible partitions. It has been proved that solutions obtained on the basis of the first and the second approaches are equivalent. The third approach is based on the auxiliary function introduction which implies the possibility of employing the Bellman−Zadeh method for solving the problems considered.

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