Another approach to rough soft hemirings and corresponding decision making

Abstract

Combining rough sets and soft sets, a kind of novel rough soft hemirings with respect to a strong h-ideal of hemirings in Pawlak approximation spaces is introduced. The relationships between lower and upper rough soft hemirings are studied. In particular, lower and upper rough soft strong h-ideals with respect to strong h-ideals are investigated, respectively. Some good examples are given. Finally, we put forward two new kinds of decision-making methods in rough soft sets, and some related algebraic and applied examples are also given.