New approach towards complex bipolar intuitionistic fuzzy subbisemiring applied to homomorphism

Abstract

We establish the concept of complex bipolar intuitionistic fuzzy subbisemiring (CBIFSBS). We analyze the homomorphic features and important properties of CBIFSBS. We construct the CBIFSBS level sets for bisemirings. Suppose that L is a subset of B.
Then R = (μT − L ·eδχT − L , μF − L ·eδχF − L , μT + L ·eδχT + L , μF + L · eδχF + L ) is a CBIFSBS of B if and only if μ(t,s) is a SBS of B for all t, s ∈ [−1, 0] × [0, 1]. It is shown that there are homomorphic pre-images and homomorphic images for every CBIFSBS. We illustrate the results based on numerical examples