On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras

HILA, Kostaq; Onar, Serkan; Ersoy, Bayram; DAVVAZ, Bijan

doi:10.1186/1029-242x-2013-501

On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras

Atıf İçin Kopyala

HILA K., Onar S., Ersoy B. A., DAVVAZ B.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2013
Doi Numarası: 10.1186/1029-242x-2013-501
Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper deals with a special class of hyperalgebra, called Boolean hyperalgebra, which is redefined in it. We introduce the concepts of generalized intuitionistic fuzzy subhyperalgebras and generalized intuitionistic fuzzy hyperideals of Boolean hyperalgebras. A necessary and sufficient condition for an intuitionistic fuzzy subset of the Boolean hyperalgebra to be a generalized intuitionistic fuzzy subhyperalgebra (hyperideal) is proved. Images and inverse-images of generalized intuitionistic fuzzy subhyperalgebra (hyperideal) under Boolean hyperalgebra homomorphism are studied.