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On the principles of fuzzy classification.

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Publication Date
1999
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IEEE
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Abstract
In this paper we analyze the concept of fuzzy partition, starting from the classical key definition given by E.H. Ruspini (1969). Our main claim is that such a definition is too restrictive, since it assumes a particular set of classes that in practice may be reached only after a long learning process. As a consequence, some principles to be taken into account in fuzzy classification methods are discussed
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Lógica simbólica y matemática (Matemáticas)
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1102.14 Lógica Simbólica
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A. del Amo , J. Montero and G. Biging "Classifying pixels by means of fuzzy relations", Int. J. General Systems, J. C. Bezdek J. C. Bezdek and S. K. Pal Fuzzy Models for Pattern Recognition, pp.1 -27 1992 :IEEE Press J. C. Bezdek and J. D. Harris "Fuzzy partitions and Relations: an axiomatic basis for clustering", Fuzzy Sets and Systems, vol. 1, pp.111 -127 1978 V. Cutello and J. Montero "Recursive connective rules", Int. J. Intelligent Systems, vol. 14, no. 1, pp.3 -20 1999 J. Dombi "A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators", Fuzzy Sets and Systems, vol. 8, pp.149 -163 1982 J. C. Fodor and M. Roubens "Valued preference structures", European Journal of Operational Research, vol. 79, pp.277 -286 1994 J. Montero "Comprehensive fuzziness", Fuzzy Sets and Systems, vol. 20, pp.79 -86 1986 J. Montero "Extensive fuzziness", Fuzzy Sets and Systems, vol. 21, pp.201 -209 1987 J. Montero , J. Tejada and V. Cutello "A general model for deriving preference structures from data", European Journal of Operational Research, vol. 98, pp.98 -110 1997 M. Roubens "Pattern classification problems and fuzzy sets", Fuzzy Sets and Systems, vol. 1, pp.239 -253 1978 E. H. Ruspini "A new approach to clustering", Information and Control, vol. 15, pp.22 -32 1969 H. Thiele "A characterization of Ruspini-partitions by similarity relations", Proceedings I.P.M.U.\'96, pp.389 -394 1996 H. Thiele "A characterization of arbitrary Ruspini-partitions by fuzzy similarity relations", Proceedings FUZZ-IEEE, pp.131 -134 1997 E. Trillas "Sobre funciones de negacion en la teoria de conjuntos difusos", Stochastica, vol. 3, pp.47 -59 1979 R. R. Yager and A. Rybalov "Uninorm aggregation operators", Fuzzy Sets and Systems, vol. 80, pp.111 -120 1996 L. A. Zadeh "Fuzzy Sets", Information and Control, vol. 8, pp.338 -353 1965 L. A. Zadeh "Outline of a new apporach to the analysis of complex systems and decision processes", IEEE Transactions on Systems, Mand and Cybernetics, vol. 1, pp.28 -44 1973
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https://hdl.handle.net/20.500.14352/60881
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