An approach of decision making with linguistic weight

In the reality, people use linguistic term rather than numerical information to express their evaluations or preferences in decision making problems. To deal with the qualitative information, we propose a linguistic decision making approach based on the ten-element linguistic-valued lattice implication algebra. In this paper, we discuss the properties of two important operations, i.e. ⊗ and ⊕, in ten-element linguistic lattice implication algebra. In the decision making approach proposed in this paper, we use the operation ⊗ to calculate the weighted criteria in view of its properties. The illustration example shows that the proposed approach seems more effective for decision making under a fuzzy environment with both comparable and incomparable linguistic truth values.