Typical Interval-valued Hesitant Fuzzy Probability

被引:0
|
作者
Yuan, Xiujiu [1 ]
Li, Jiang [1 ]
Zhao, Xuejun [1 ]
机构
[1] Air Force Engn Univ, Sci Coll, Xian, Shaanxi, Peoples R China
关键词
hesitant fuzzy set; typical interval-valued hesitant fuzzy event; interval-valued hesitant fuzzy probability; Borel-Cantelli Lemma; ATTRIBUTE DECISION-MAKING; SETS; ENTROPY; EVENTS;
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
The interval-valued hesitant fuzzy probability theory is investigated. The concepts of typical interval-valued hesitant fuzzy event and its probability have been introduced. The basic properties and Borel-Cantelli Lemma of classical probability are generalized to that of the probability of typical interval-valued hesitant fuzzy event. The continuity of the probability of interval-valued hesitant fuzzy event and ordering property for interval-valued hesitant fuzzy probability have been discussed.
引用
收藏
页数:6
相关论文
共 50 条
  • [41] Selection of an alternative based on interval-valued hesitant picture fuzzy sets
    Rashid T.
    Sarwar Sindhu M.
    Journal of Intelligent and Fuzzy Systems, 2022, 42 (01): : 551 - 561
  • [42] A New Interval-Valued Hesitant Fuzzy-Based Optimization Method
    Bharati, Shailendra Kumar
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2022, 18 (02) : 469 - 494
  • [43] Selection of an alternative based on interval-valued hesitant picture fuzzy sets
    Rashid, Tabasam
    Sindhu, M. Sarwar
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 42 (01) : 551 - 561
  • [44] Interval-valued hesitant fuzzy TODIM method for dynamic emergency responses
    Ding, Quanyu
    Goh, Mark
    Wang, Ying-Ming
    SOFT COMPUTING, 2021, 25 (13) : 8263 - 8279
  • [45] Continuous Hesitant Fuzzy Aggregation Operators and Their Application to Decision Making under Interval-Valued Hesitant Fuzzy Setting
    Peng, Ding-Hong
    Wang, Tie-Dan
    Gao, Chang-Yuan
    Wang, Hua
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [46] Interval-valued fuzzy derivatives and solution to interval-valued fuzzy differential equations
    Kalani, Hadi
    Akbarzadeh-T, Mohammad-R.
    Akbarzadeh, Alireza
    Kardan, Iman
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (06) : 3373 - 3384
  • [47] Interval-valued Fuzzy Subsemigroups and Subgroups Associated by Interval-valued Fuzzy Graphs
    Ju Hongmei
    Wang Lianhua
    PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL I, 2009, : 484 - 487
  • [48] Interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in semigroups
    Narayanan Al.
    Manikantan T.
    Journal of Applied Mathematics and Computing, 2006, 20 (1-2) : 455 - 464
  • [49] Nearest Interval-Valued Approximation of Interval-Valued Fuzzy Numbers
    Ahmadian, A.
    Senu, N.
    Salahshour, S.
    Suleiman, M.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 : 325 - 336
  • [50] A New Approach to Correspondence Analysis Based on Interval-Valued Hesitant Fuzzy Sets
    Yanmaz, Ozgur
    Kadaifci, Cigdem
    Bozdag, Erhan
    INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING, 2022, 21 (06) : 1749 - 1776