Incomplete preference matrix with elements from an Alo-group and its application to ranking of alternatives

被引:0
作者
Ramik, Jaroslav [1 ]
机构
[1] Silesian Univ, Sch Business Adm, CZ-73340 Karvina, Czech Republic
来源
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY | 2015年 / 89卷
关键词
Multi-Criteria Optimization; Pairwise Comparison; Preference Matrix; Incomplete Matrix; Alo-group; GROUP DECISION-MAKING; PAIRWISE COMPARISON MATRICES; PRIORITY VECTOR; FUZZY; CONSISTENCY; INCONSISTENCY; MODELS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A preference matrix is the result of pairwise comparison and is a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is a linearly ordered Abelian group (Alogroup) to any pair of alternatives representing the element of the preference matrix (P-matrix). The well known multiplicative, additive and fuzzy preference matrices are generalized. Some situations where elements of the P-matrix are missing are focused on and a general method for completing a P-matrix with missing elements called the extension of the P-matrix is proposed. Two important particular cases of fuzzy P-matrix with missing elements are discussed. Some illustrative numerical examples are given.
引用
收藏
页码:34 / 41
页数:8
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