توضیحات
ABSTRACT
Since Bertoluzza et al.’s metric between fuzzy numbers has been introduced,several studies involving it have been developed.Some of these studies concern equivalent expressions for the metric which are useful for either theoretical, practical or simulation purposes. Other studies refer to the potentiality of Bertoluzza et al.’s metric to establish statistical methods for the analysis of fuzzy data. This paper shortly reviews such studies and examine part of the scientific impact of the metric.
INTRODUCTION
When analyzing fuzzy-valued data from a statistical perspective the use of suitable metrics between fuzzy data plays a crucial role.On one hand, some of the main drawbacks associated with the difference operation can be often overcome by using distances. Thus, as for the usual fuzzy arithmetic there is no difference operation always well-defined and preserving the main properties of the real/vectorial-valued case, this operation can be replaced by a distance between fuzzy data when the ‘sign’ of the deviation is not relevant. On the other hand, distances are also essential in formalizing errors in estimating, statistical convergences in stating limit results, and soon.
Year:2013
Publisher:Departamento de Estad´ıstica e I.O. y D.M., Universidad de Oviedo
By:Maria Rosa Casals , Norberto Corral ,Maria Angeles Gil
File information: English Language / 18 Page / Size :456 Kb
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سال:2013
ناشر:Departamento de Estad´ıstica e I.O. y D.M., Universidad de Oviedo
کاری از:Maria Rosa Casals , Norberto Corral ,Maria Angeles Gil
اطلاعات فایل: زبان انگلیسی/ 18صفحه/ حجم 456 کیلوبایت
لینک دانلود : روی همین لینک کلیک کنید
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