Open AccessON SOME NEW PARANORMED SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY ORLICZ FUNCTIONS AND STATISTICAL CONVERGENCE
Author(s) -
Ayhan Eşi
Publication year - 2006
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2006.9637325
Subject(s) - mathematics , sequence (biology) , convergence (economics) , limit of a sequence , function (biology) , fuzzy logic , weak convergence , pure mathematics , modes of convergence (annotated index) , discrete mathematics , mathematical analysis , computer science , limit (mathematics) , topological space , topological vector space , isolated point , economics , asset (computer security) , biology , economic growth , genetics , computer security , evolutionary biology , artificial intelligence
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent with respect to an Orlicz function then it is λ(p) – statistically convergent.