Mathematical aspects of the theory of measures of fuzziness

Name: Mathematical aspects of the theory of measures of fuzziness
Creator: Vivona, Doretta
Keywords: Fuzzy sets, Conjunts borrosos, Teoria de, Mesurament, Teoria de, Fuzzy integrals, measures of fuzziness, Miscellaneous topics in measure theory, fuzzy sets, :28 Measure and integration::28E Miscellaneous topics in measure theory [Classificació AMS], Fuzziness measures

Vivona, Doretta

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Article . 1996

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Revistes Catalanes amb Accés Obert

Article . 1996

Full-Text: http://www.raco.cat/index.php/Mathware/article/download/84665/109662

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1996

License: CC BY NC ND

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1996

License: CC BY NC ND

Data sources: Recolector de Ciencia Abierta, RECOLECTA

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Mathematical aspects of the theory of measures of fuzziness

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1996 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Vivona, Doretta;

handle: 2099/2628

Mathematical aspects of the theory of measures of fuzziness

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Abstract

After recalling the axiomatic concept of fuzziness measure, we define some fuzziness measures through Sugeno’s and Choquet’s integral. In particular, for the so-called “homogeneous” fuzziness measures we prove two representation theorems by means of the above integrals.

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Spain

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Keywords

Fuzzy sets, Conjunts borrosos, Teoria de, Mesurament, Teoria de, Fuzzy integrals, measures of fuzziness, Miscellaneous topics in measure theory, fuzzy sets, :28 Measure and integration::28E Miscellaneous topics in measure theory [Classificació AMS], Fuzziness measures, Fuzzy sets and logic (in connection with information, communication, or circuits theory), Fuzzy measure, Mesurament, Classificació AMS::28 Measure and integration::28E Miscellaneous topics in measure theory, Choquet integral, fuzzy integral, Theory of fuzzy sets, etc.

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