A novel new correlation measure for cubic Pythagorean fuzzy sets related to structures of $KU$-ideals on $KU$-algebras

Abstract

In this paper, the concepts of cubic Pythagorean $KU$-ideals are introduced and several properties are investigated. Also, relations between cubic Pythagorean $KU$-ideals and cubic Pythagorean ideals are given. The pre-image of cubic Pythagorean $KU$-ideals under homomorphism of $KU$-algebras are defined and how the pre-image of cubic Pythagorean $KU$-ideals under homomorphism of $KU$-algebras become cubic Pythagorean $KU$-ideal are studied. Moreover, the Cartesian product of cubic Pythagorean $KU$-ideals in Cartesian product $KU$-algebras is given. Finally, novel new correlation coefficient between two cubic Pythagorean fuzzy sets are also studied.