Crossing CR-fuzzy Q –ideals and its Correlation Coefficients

Abstract

As an extension of bipolar fuzzy sets, we consider the concept of crossing CR-fuzzy Q -ideals(sub-algebras)  of a Q -algebra. Relationships between the crossing CR-fuzzy BCK- ideal (sub-algebras ) and the crossing CR-fuzzy Q -ideals of a Q -algebra are investigated. In addition, the homomorphic images and the inverse images of  the crossing CR-fuzzy Q -ideals are also studied. Related properties of crossing CR-fuzzy Q -ideals are explored and discussed. Moreover the Cartesian crossing CR-fuzzy Q -ideals are investigated. Finally, novel correlation coefficient between two crossing CR-fuzzy sets are also studied...