Why -additive (fuzzy) measures?
Kybernetika (2015)
- Volume: 51, Issue: 2, page 246-254
- ISSN: 0023-5954
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topChiţescu, Ion. "Why $\lambda $-additive (fuzzy) measures?." Kybernetika 51.2 (2015): 246-254. <http://eudml.org/doc/270131>.
@article{Chiţescu2015,
abstract = {The paper is concerned with generalized (i. e. monotone and possibly non-additive) measures. A discussion concerning the classification of these measures, according to the type and amount of non-additivity, is done. It is proved that $\lambda $-additive measures appear naturally as solutions of functional equations generated by the idea of (possible) non additivity.},
author = {Chiţescu, Ion},
journal = {Kybernetika},
keywords = {generalized measure (probability); $\lambda $-additive measure; functional equation; generalized measure (probability); $\lambda $-additive measure; functional equation},
language = {eng},
number = {2},
pages = {246-254},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Why $\lambda $-additive (fuzzy) measures?},
url = {http://eudml.org/doc/270131},
volume = {51},
year = {2015},
}
TY - JOUR
AU - Chiţescu, Ion
TI - Why $\lambda $-additive (fuzzy) measures?
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 2
SP - 246
EP - 254
AB - The paper is concerned with generalized (i. e. monotone and possibly non-additive) measures. A discussion concerning the classification of these measures, according to the type and amount of non-additivity, is done. It is proved that $\lambda $-additive measures appear naturally as solutions of functional equations generated by the idea of (possible) non additivity.
LA - eng
KW - generalized measure (probability); $\lambda $-additive measure; functional equation; generalized measure (probability); $\lambda $-additive measure; functional equation
UR - http://eudml.org/doc/270131
ER -
References
top- Aczel, J., Lectures on Functional Equations and Their Applications., Dover Publications, Inc. Mineola, New York 2006. Zbl0139.09301
- Sugeno, M., Theory of Fuzzy Integrals and Its Applications., Doctoral Dissertation, Tokyo Institute of Technology, 1974.
- Wang, Z., Une classe de mesures floues - les quasi-mesures., BUSEFAL 6 (1981), 28-37.
- Wang, Z., Klir, G., 10.1007/978-0-387-76852-6, Springer (IFSR Internat. Ser. Systems Sci. Engrg. 25) (2009). Zbl1184.28002MR2453907DOI10.1007/978-0-387-76852-6
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