基于语言值格蕴涵代数的偏好顺序结构评估决策方法

doi:10.16451/j.cnki.issn1003-6059.201804006

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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(L_V(n×2)) is proposed. The linguistic-valued evaluation matrix and its properties on L_V(n×2) is discussed, and the priority function and the lattice-valued difference of L_V(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.

Key words： Key Words Linguistic-Valued Lattice Implication Algebra Multi-attribute Decision Making Linguistic-Valued Evaluation Matrix Weighted Aggregation Operator Preference Ranking Organization Method for Enrichment Evaluation(PROMETHEE) Method

Received: 02 January 2018

ZTFLH:

TP 181

Fund:Supported by National Natural Science Foundation of China(No.61772250,61673320,61672127), Fundamental Research Funds for the Central Universities(No.26820172T12), Natural Science Foundation of Liaoning Province(No.2015020059)

Corresponding Authors: REN Yonggong(corresponding author), Ph. D., professor. His research interests include data mining and intelligent information processing.

About author:: ZOU Li, Ph.D., professor. Her research interests include multi-valued logic and uncertainty reasoning, and intelligent information processing;LUO Siyuan, master student. Her research interests include multi-valued logic and uncertainty reasoning, and intelligent information processing;SHI Yuanyuan, master student. Her research interests include multi-valued logic and uncertainty reasoning, and intelligent information processing.

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Cite this article:

ZOU Li,LUO Siyuan,SHI Yuanyuan等. PROMETHEE Decision Method Based on Linguistic-Valued Lattice Implication Algebra[J]. , 2018, 31(4): 347-357.

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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201804006 OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2018/V31/I4/347

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