Evaluations of fuzzy sets based on orderings and measures.

Aldo Ventre; Siegfried Weber

Stochastica (1987)

  • Volume: 11, Issue: 1, page 35-44
  • ISSN: 0210-7821

Abstract

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Total orderings in the range of fuzzy sets can serve as choice criteria for fuzzy sets, a wide class of orderings based on functions is proposed (section 2). Decomposable measures are taken to measure the items on which the fuzzy sets are given (section 3). Combining the two levels of measurement by means of the integral introduced by the second author we obtain evaluations of fuzzy sets as functionals with appropriate properties, the concepts of energy and fuzziness are included (section 4).

How to cite

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Ventre, Aldo, and Weber, Siegfried. "Evaluations of fuzzy sets based on orderings and measures.." Stochastica 11.1 (1987): 35-44. <http://eudml.org/doc/38976>.

@article{Ventre1987,
abstract = {Total orderings in the range of fuzzy sets can serve as choice criteria for fuzzy sets, a wide class of orderings based on functions is proposed (section 2). Decomposable measures are taken to measure the items on which the fuzzy sets are given (section 3). Combining the two levels of measurement by means of the integral introduced by the second author we obtain evaluations of fuzzy sets as functionals with appropriate properties, the concepts of energy and fuzziness are included (section 4).},
author = {Ventre, Aldo, Weber, Siegfried},
journal = {Stochastica},
keywords = {Conjuntos difusos; Orden total; Medida de incertidumbre; evaluations of fuzzy sets; order relation; integral; functionals},
language = {eng},
number = {1},
pages = {35-44},
title = {Evaluations of fuzzy sets based on orderings and measures.},
url = {http://eudml.org/doc/38976},
volume = {11},
year = {1987},
}

TY - JOUR
AU - Ventre, Aldo
AU - Weber, Siegfried
TI - Evaluations of fuzzy sets based on orderings and measures.
JO - Stochastica
PY - 1987
VL - 11
IS - 1
SP - 35
EP - 44
AB - Total orderings in the range of fuzzy sets can serve as choice criteria for fuzzy sets, a wide class of orderings based on functions is proposed (section 2). Decomposable measures are taken to measure the items on which the fuzzy sets are given (section 3). Combining the two levels of measurement by means of the integral introduced by the second author we obtain evaluations of fuzzy sets as functionals with appropriate properties, the concepts of energy and fuzziness are included (section 4).
LA - eng
KW - Conjuntos difusos; Orden total; Medida de incertidumbre; evaluations of fuzzy sets; order relation; integral; functionals
UR - http://eudml.org/doc/38976
ER -

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