Existence, uniqueness and continuity of trapezoidal approximations of fuzzy numbers under a general condition

Autor:	Adrian I. Ban, Lucian Coroianu
Rok vydání:	2014
Předmět:	Mathematics::General Mathematics Logic Mathematical analysis Fuzzy subalgebra Defuzzification Euclidean distance Operator (computer programming) Artificial Intelligence Fuzzy mathematics Applied mathematics Fuzzy number Uniqueness Trapezoidal rule Mathematics
Zdroj:	Fuzzy Sets and Systems. 257:3-22
ISSN:	0165-0114
Popis:	The main aim of this paper is to characterize the set of real parameters associated to a fuzzy number, represented in a general form which include the most important characteristics, with the following property: for any given fuzzy number there exists at least a trapezoidal fuzzy number which preserves a fixed parameter. The uniqueness of the nearest trapezoidal fuzzy number with this property is proved, the average Euclidean distance being considered. As an important property, each resulting trapezoidal approximation operator is continuous. The main results are illustrated by examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5a0942e6d210df282365591d7147c015 https://doi.org/10.1016/j.fss.2013.07.004 Zobrazit plný text záznamu Full Text from ScienceDirect