Six-Element Linguistic Truth-Valued Intuitionistic Reasoning in Decision Making

A kind of intuitionistic linguistic truth-valued reasoning approach for decision making with both comparable and incomparable truth values is proposed in this paper. By using the lattice implication algebra., an six-element linguistic truth-valued intuitionistic propositional logic system is established which can express both truth degree and falsity degree. The implication operation of linguistic truth-valued intuitionistic propositional logic can be deduced from four times implication of their truth values. Therefore, we can use more information in the process of reasoning and eventually improve the precision of reasoning. As reasoning and operation are directly acted by linguistic truth values in the decision process, the issue on how to obtain the weight for rational decision making results is discussed. An illustration example shows the proposed approach seems more effective for decision making under a linguistic information environment with both truth degree and falsity degree.