Mathematical aspects of the theory of measures of fuzziness.

Doretta Vivona

Mathware and Soft Computing (1996)

  • Volume: 3, Issue: 1-2, page 211-224
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Vivona, Doretta. "Mathematical aspects of the theory of measures of fuzziness.." Mathware and Soft Computing 3.1-2 (1996): 211-224. <http://eudml.org/doc/39081>.

@article{Vivona1996,
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.},
author = {Vivona, Doretta},
journal = {Mathware and Soft Computing},
keywords = {Conjuntos difusos; Medidas difusas; Operadores integrales; Teoría de la medida; Choquet integral; fuzzy integral; measures of fuzziness; fuzzy sets},
language = {eng},
number = {1-2},
pages = {211-224},
title = {Mathematical aspects of the theory of measures of fuzziness.},
url = {http://eudml.org/doc/39081},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Vivona, Doretta
TI - Mathematical aspects of the theory of measures of fuzziness.
JO - Mathware and Soft Computing
PY - 1996
VL - 3
IS - 1-2
SP - 211
EP - 224
AB - 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.
LA - eng
KW - Conjuntos difusos; Medidas difusas; Operadores integrales; Teoría de la medida; Choquet integral; fuzzy integral; measures of fuzziness; fuzzy sets
UR - http://eudml.org/doc/39081
ER -

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