On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras


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

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013

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.