Rough soft lattice implication algebras and corresponding decision making methods

Abstract

Soft set theory and rough set theory are two mathematical tools for dealing with uncertainties. By combining rough sets and soft sets, Feng put forth rough soft set theory. In this paper, we apply rough soft set theory to lattice implication algebras. Rough soft (implicative, associative) filters with respect to a filter over lattice implication algebras are investigated. Finally, we put forward two kinds of decision making methods for rough soft lattice implication algebras. In particular, two applied examples are also given. Maybe it would be served as a foundation of more complicated soft set models in decision making methods.