A MATRIX METHOD FOR THE FUZZY ANALYTIC HIERARCHY PROCESS

被引：5
|
作者：
Huang, Jih-Jeng [1 ]
机构：
[1] Soochow Univ, Dept Comp Sci & Informat Management, Taipei 100, Taiwan
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2011年 / 19卷 / 02期
关键词：
Fuzzy weights; fuzzy analytic hierarchy process (FAHP); reciprocal matrix; AHP; PREFERENCE; PRIORITIES; JUDGMENTS;
D O I：
10.1142/S0218488511007040
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper proposes a new method for finding fuzzy weights in the fuzzy analytic hierarchy process (FAHP), which fuzzifies the derived formulation of an eigenvector directly. The presented formulation only needs information about the upper triangular matrix and the assumption of the reciprocal matrix in the original AHP is not necessary. This characteristic enables the FAHP to be used without concern for rationality of the reciprocal matrix. In addition, two applications are presented to demonstrate the applicability of the proposed method and to compare it with other FAHP models.
引用
收藏
页码：401 / 414
页数：14
相关论文
共 50 条
  • [1] CONSISTENCY OF JUDGMENT MATRIX AND FUZZY WEIGHTS IN FUZZY ANALYTIC HIERARCHY PROCESS
    WANG, XZ
    KERRE, EE
    RUAN, D
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1995, 3 (01) : 35 - 46
  • [2] Analytic hierarchy process-fuzzy sorting: An analytic hierarchy process-based method for fuzzy classification in sorting problems
    Ishizaka, Alessio
    Tasiou, Menelaos
    Martinez, Luis
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2020, 71 (06) : 928 - 947
  • [3] A MATRIX METHOD FOR THE FUZZY ANALYTIC NETWORK PROCESS
    Huang, Jih-Jeng
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 (06) : 863 - 878
  • [4] Inconsistency of Fuzzy Grey Analytic Hierarchy Process Pairwise Comparison Matrix
    Karel, M. L. S.
    [J]. PROCEEDINGS OF THE 20TH CZECH-JAPAN SEMINAR ON DATA ANALYSIS AND DECISION MAKING UNDER UNCERTAINTY, 2017, : 94 - 98
  • [5] A fuzzy programming method for deriving priorities in the analytic hierarchy process
    Mikhailov, L
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2000, 51 (03) : 341 - 349
  • [6] A modified fuzzy logarithmic least squares method for fuzzy analytic hierarchy process
    Wang, Ying-Ming
    Elhag, Taha M. S.
    Hua, Zhongsheng
    [J]. FUZZY SETS AND SYSTEMS, 2006, 157 (23) : 3055 - 3071
  • [7] HESITANT FUZZY ANALYTIC HIERARCHY PROCESS
    Oztaysi, Basar
    Onar, Sezi Cevik
    Bolturk, Eda
    Kahraman, Cengiz
    [J]. 2015 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2015), 2015,
  • [8] Intuitionistic Fuzzy Analytic Hierarchy Process
    Xu, Zeshui
    Liao, Huchang
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (04) : 749 - 761
  • [9] When should fuzzy analytic hierarchy process be used instead of analytic hierarchy process?
    Chan, Hing Kai
    Sun, Xuting
    Chung, Sai-Ho
    [J]. DECISION SUPPORT SYSTEMS, 2019, 125
  • [10] Fuzzy prioritisation in the Analytic Hierarchy Process
    Mikhailov, L
    Yan, CM
    Harrison, C
    [J]. PROCEEDINGS OF THE FIFTH JOINT CONFERENCE ON INFORMATION SCIENCES, VOLS 1 AND 2, 2000, : 104 - 107
12345