Open AccessOn the almost everywhere statistical convergence of sequences of fuzzy numbers
Author(s) -
Özer Talo
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1909683t
Subject(s) - mathematics , almost everywhere , limit (mathematics) , sequence (biology) , limit of a sequence , convergence (economics) , fuzzy logic , limit point , convergence of random variables , discrete mathematics , statistics , mathematical analysis , artificial intelligence , random variable , computer science , genetics , economics , biology , economic growth
In this paper, we define the concept of almost everywhere statistical convergence of a sequence of fuzzy numbers and prove that a sequence of fuzzy numbers is almost everywhere statistically convergent if and only if its statistical limit inferior and limit superior are equal. To achieve this result, new representations for statistical limit inferior and limit superior of a sequence of fuzzy numbers are obtained and we show that some properties of statistical limit inferior and limit superior can be easily derived from these representations.