A multi-criteria decision making procedure based on interval-valued intuitionistic fuzzy bonferroni means

被引:86
作者
Xu, Zeshui [1 ,2 ]
Chen, Qi [2 ,3 ]
机构
[1] Southeast Univ, Sch Econ & Management, Nanjing 211189, Jiangsu, Peoples R China
[2] PLA Univ Sci & Technol, Inst Commun Engn, Nanjing 210007, Jiangsu, Peoples R China
[3] PLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Bonferroni mean; interval-valued intuitionistic fuzzy number; multi-criteria decision making; interval-valued intuitionistic fuzzy Bonferroni mean; weighted interval-valued intuitionistic fuzzy Bonferroni mean; AGGREGATION OPERATORS; SETS; WEIGHTS;
D O I
10.1007/s11518-011-5163-0
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Inspired by the idea of Bonferroni mean, in this paper we develop an aggregation technique called the interval-valued intuitionistic fuzzy Bonferroni mean for aggregating interval-valued intuitionistic fuzzy information. We study its properties and discuss its special cases. For the situations where the input arguments have different importance, we then define a weighted interval-valued intuitionistic fuzzy Bonferroni mean, based on which we give a procedure for multi-criteria decision making under interval-valued intuitionistic fuzzy environments.
引用
收藏
页码:217 / 228
页数:12
相关论文
共 29 条
  • [1] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS
    ATANASSOV, K
    GARGOV, G
    [J]. FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 343 - 349
  • [2] Beliakov G., 2007, Aggregation Functions: A Guide for Practitioners, DOI DOI 10.1007/978-3-540-73721-6
  • [3] Generalized Bonferroni mean operators in multi-criteria aggregation
    Beliakov, Gleb
    James, Simon
    Mordelova, Juliana
    Rueckschlossova, Tatiana
    Yager, Ronald R.
    [J]. FUZZY SETS AND SYSTEMS, 2010, 161 (17) : 2227 - 2242
  • [4] Bonferroni C., 1950, Bollettino dellUnione Matematica Italiana, V5, P267
  • [5] Bullen J.B., 2003, BYZANTIUM REDISCOVER
  • [6] Chen Q, 2010, INFORMATION-TOKYO, V13, P67
  • [7] Choquet G., 1954, Ann. Institute. Fourier (Grenoble), V5, P131, DOI DOI 10.5802/AIF.53
  • [8] UPPER AND LOWER PROBABILITIES INDUCED BY A MULTIVALUED MAPPING
    DEMPSTER, AP
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (02): : 325 - &
  • [9] Continuous preference logic for system evaluation
    Dujmovic, Jozo J.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (06) : 1082 - 1099
  • [10] k-intolerant capacities and Choquet integrals
    Marichal, Jean-Luc
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 177 (03) : 1453 - 1468