Czasopismo
Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally, the characterizations of generalized semisimple fuzzy ordered semigroups in terms of ∈, ∈ ∨qk-fuzzy ideals (resp. ∈, ∈ ∨qk-fuzzy interior ideals) are developed.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
841-856
Opis fizyczny
Daty
wydano
2016-01-01
otrzymano
2016-03-03
zaakceptowano
2016-09-13
online
2016-11-14
Twórcy
autor
- College of Mathematics and Econometrics, Hunan University, Changsha 410082, China and College of Mathematics, Honghe University, Mengzi 661199,, huangxkyn@126.com
autor
- College of Mathematics and Econometrics, Hunan University, Changsha 410082,, liqingguoli@aliyun.com
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2016-0076