Complex cubic intuitionistic fuzzy set applied to subbisemirings of bisemirings using homomorphism

Abstract

We develop and analyze the concept of complex cubic intuitionistic fuzzy subbisemiring (ComCIFSBS). We investigate ComCIFSBS its characteristics and homomorphic proper-ties. We suggest the ComCIFSBS level sets of bisemiring. A cubic complex intuitionistic fuzzy set subset Ξ of bisemiring B, if and only if each non-empty level set R(t,s), where R = (μ̂ Z · ei2πβ̂ Z , ν̂ Z · ei2πγ̂ Z , μZ · ei2πβZ , νZ · ei2πγZ ) is a ComCIFSBS of B. Let υ be a ComCIFSBS bisemiring B. If Υ is a ComCIFSBS of B × B, then Z is a ComCIFSBS of bisemiring B. Let Z denote the strongest complex intuitionistic fuzzy relation bisemiring B. It is proved that all ComCIFSBSs have homomorphic images as well as homomorphic pre-images. Examples are presented to demonstrate how our findings are applied.