PROMETHEE Decision Method Based on Linguistic-Valued Lattice Implication Algebra
ZOU Li1, LUO Siyuan2, SHI Yuanyuan2, REN Yonggong1
1.School of Computer and Information Technology, Liaoning Normal University, Dalian 116081 2.School of Mathematics, Liaoning Normal University, Dalian 116081
Abstract：Aiming at the problem of decision making with comparable and incomparable linguistic-valued information, a multi-attribute decision making method based on linguistic-valued lattice implication algebra(LV(n×2)) is proposed. The linguistic-valued evaluation matrix and its properties on LV(n×2) is discussed, and the priority function and the lattice-valued difference of LV(n×2) are put forward. Taking full account of the attribute value disparity information, the lattice-valued difference is applied to the preference ranking. By utilizing the linguistic-valued vector, linguistic-valued vector synthesis matrix is constructed to deal with multi-expert multi-attribute information in decision-making problems. The linguistic-valued evaluation matrix weighted aggregation operator(LMWAA operator) is introduced to aggregate the linguistic-valued evaluation matrix. Utilizing the noncompensatory nature of preference ranking organization method for enrichment evaluation(PROMETHEE) decision method, a PROMETHEE decision model based on linguistic-valued lattice implication algebra is constructed. The effectiveness and practicability of the proposed method are illustrated by an example of network commodity evaluation.
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2018, Vol. 31 
