摘要

By means of a novel t-level relation U(mu, t) = {(x, y) is an element of S x S vertical bar mu(a) Lambda mu(b) >= t for all a, b, z is an element of S} of a hemiring S. which is a congruence relation on S if mu is a fuzzy strong h-ideal of S, we propose rough soft strong h-ideals with respect to the above congruence relation in hemirings. Some lower and upper rough soft strong h-ideals with respect to U(mu, t) over hemirings are investigated, respectively. Finally, we put forth a novel kind of decision making method to rough soft hemirings with respect to the congruence relation.