(ᾶ, α)-crossing cubic QS-ideal of QS-algebra

초록

As an extension of bipolar-valued fuzzy sets, the notion of $(\tilde{\alpha },\alpha )$- crossing cubic $QS$-ideals of a $QS$-algebra is introduced, and several related properties are investigated. Characterizations of $(\tilde{\alpha },\alpha )$-crossing cubic $QS$-ideal in $QS$-algebras are established. The relations between $(\tilde{\alpha },\alpha )$-crossing cubic subalgebras and $(\tilde{\alpha },\alpha )$ crossing cubic $QS$-ideals of a $QS$-algebras are studied. Moreover, the homomorphic image (pre-image) of $(\tilde{\alpha },\alpha )$-crossing cubic $QS$-ideal of a $QS$-algebra under a homomorprhism of $QS$-algebras is discussed.

키워드