A linguistic lattice-valued approach for fuzzy multi-objective decision making

作者：Li Xiaobing^*; Ruan Da; Liu Jun; Xu Yang

来源：Journal of Multiple-Valued Logic and Soft Computing, 2008, 14(3-5): 233-249.

• decision-making
• multi-objective decision making
• L-fuzzy set
• lattice implication algebra
• incomparable information

Most of the present methods for multi-objective decision making can only deal with linearly ordered preference information. In this paper, we focus on investigating methods for multi-objective decision making when the preference information set includes incomparable natural language terms. A logical algebraic structure of lattice implication algebra is then applied to represent both comparable and incomparable information simultaneously. We present a model for multi-objective decision making in Which the preference information set is a kind of linguistic-valued lattice implication algebras. And we extend the model to deal with the multi-objective decision making when the preference information set is a generalized linguistic-valued lattice. In these cases, decision makers can supply lattice information on their preference and weights of the individual objectives.

• 出版日期2008
• 单位西南交通大学