Quasilinearity of the classical sets of sequences of fuzzy numbers and some related results

dc.contributor.authorTalo, Özer
dc.contributor.authorBaşar, Feyzi
dc.date.accessioned2024-07-12T20:49:50Z
dc.date.available2024-07-12T20:49:50Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present study, we prove that the classical sets `?(F ), c(F ), c0(F ) and `p(F ) of sequences of fuzzy numbers are normed quasilinear spaces and the ??, ??duals of the set `1(F ) is the set `?(F ). Besides this, we show that `?(F ) and c(F ) are normed quasialgebras and an operator defined by an infinite matrix belonging to the class (`?(F ) : `?(F )) is bounded and quasilinear. Finally, as an application, we characterize the class (`1(F ) : `p(F )) of infinite matrices of fuzzy numbers and establish the perfectness of the spaces `?(F ) and `1(F ).en_US
dc.identifier.citationTalo, Ö ve Başar, F. (2009). Quasilinearity of the classical sets of sequences of fuzzy numbers and some related results. Maltepe Üniversitesi. s. 316.en_US
dc.identifier.endpage317en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage316en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2243
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07570
dc.titleQuasilinearity of the classical sets of sequences of fuzzy numbers and some related resultsen_US
dc.typeConference Object
dspace.entity.typePublication

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