A DS-AHP approach for multi-attribute decision making problem with incomplete information

被引：84
作者：
Hua, Zhongsheng [1 ]
Gong, Bengang [1 ]
Xu, Xiaoyan [1 ]
机构：
[1] Univ Sci & Technol China, Sch Management, Hefei 230026, Anhui, Peoples R China
来源：
EXPERT SYSTEMS WITH APPLICATIONS | 2008年 / 34卷 / 03期
关键词：
multi-attribute decision making; incomplete information; Dempster-Shafer theory; analytic hierarchy process; decision matrix;
D O I：
10.1016/j.eswa.2007.02.021
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a DS-AHP method is proposed for MADM problems with incomplete information. Different from most of current methods, the DS-AHP method solves a problem directly based on its incomplete decision matrix. On the base of Dempster-Shafer theory of evidence, our approach first identifies all possible focal elements from the incomplete decision matrix, and then it calculates the basic probability assignment of each focal element and the belief interval of each decision alternative. Preference relations among all decision alternatives are determined by comparing their belief intervals. A numerical example is studied to illustrate the detailed implementation process of the DS-AHP approach and demonstrate its potential applications in MADM problems with incomplete information. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2221 / 2227
页数：7
相关论文
共 25 条
  • [11] Probability density estimation using incomplete data
    Morad, K
    Svrcek, WY
    McKay, I
    [J]. ISA TRANSACTIONS, 2000, 39 (04) : 379 - 399
  • [12] Selection of web sites for online advertising using the AHP
    Ngai, EWT
    [J]. INFORMATION & MANAGEMENT, 2003, 40 (04) : 233 - 242
  • [13] Quinlan J. R., 2014, C4 5 PROGRAMS MACHIN
  • [14] Raaijmakers QAW, 1999, EDUC PSYCHOL MEAS, V59, P725, DOI 10.1177/00131649921970116
  • [15] MISSING DATA IN EVALUATION RESEARCH
    RAYMOND, MR
    [J]. EVALUATION & THE HEALTH PROFESSIONS, 1986, 9 (04) : 395 - 420
  • [16] SCALING METHOD FOR PRIORITIES IN HIERARCHICAL STRUCTURES
    SAATY, TL
    [J]. JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1977, 15 (03) : 234 - 281
  • [17] Saaty TL., 1980, The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation
  • [18] Shafer G., 1976, A mathematical theory of evidence, V76
  • [19] Using the analytic hierarchy process as a clinical engineering tool to facilitate an iterative, multidisciplinary, microeconomic health technology assessment
    Sloane, EB
    Liberatore, MJ
    Nydick, RL
    Luo, WH
    Chung, QB
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2003, 30 (10) : 1447 - 1465
  • [20] THE TRANSFERABLE BELIEF MODEL
    SMETS, P
    KENNES, R
    [J]. ARTIFICIAL INTELLIGENCE, 1994, 66 (02) : 191 - 234
123