Deriving Fuzzy Weights from the Consistent Fuzzy Analytic Hierarchy Process

被引：4
|
作者：
Chen, Chin-Yi [1 ]
Huang, Jih-Jeng [2 ]
机构：
[1] Chung Yuan Christian Univ, Dept Business Adm, 200 Chung Pei Rd, Taoyuan 320, Taiwan
[2] Soochow Univ, Dept Comp Sci & Informat Management, Taipei 100, Taiwan
来源：
MATHEMATICS | 2022年 / 10卷 / 19期
关键词：
analytic hierarchy process; multi-criteria decision-making; consistency index; consistency ratio; mathematical programming; MULTIPLICATIVE PREFERENCE RELATIONS; INTERVAL; AHP; INDEX; MODEL;
D O I：
10.3390/math10193499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The analytic hierarchy process (AHP) is one of the most popular multi-criteria decision-making (MCDM) methods, and so is its extension fuzzy analytic hierarchy process (FAHP). However, the FAHP, unlike the AHP, easily handles the trusted weights by the consistency index (CI) or consistency ratio (CR). We need to first derive the consistent fuzzy pairwise comparison matrix (FPCM) by the transitivity axiom and then drive fuzzy weights. We also need a flexible mechanism for users to control the spread of fuzzy weights under tolerable consistency. In this paper, we propose a novel model based on mathematical programming to derive rational fuzzy weights of the FAHP and provide a parameter for decision-makers to control the spread of fuzzy weights. Three examples are used to demonstrate the proposed method and compared with others to validate and justify the proposed method.
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页数：12
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