A constructive method for the definition of interval-valued fuzzy implication operators

被引：68
|
作者：
Alcalde, C
Burusco, A
Fuentes-González, R
机构：
[1] Univ Basque Country, Dept Matemat Aplicada, Escuela Univ Politecn, San Sebastian 20018, Spain
[2] Univ Publ Navarra, Dept Automat & Computac, Pamplona 31006, Spain
来源：
FUZZY SETS AND SYSTEMS | 2005年 / 153卷 / 02期
关键词：
fuzzy connectives and aggregation operators; interval-valued fuzzy implication operator; fuzzy implication operator; fuzzy R-implication; fuzzy S-implication;
D O I：
10.1016/j.fss.2005.01.006
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, a new characterization for the interval-valued fuzzy implication operators is presented, which provides a simple way to construct interval valued fuzzy implication operators from a given fuzzy implication operator using aggregation operators. This method will be used for defining the interval-valued fuzzy R- and S-implications. Finally, some examples of the interval-valued fuzzy implications built by this constructive method and a comparative study among them are shown. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：211 / 227
页数：17
相关论文
共 50 条
  • [1] Three constructive methods for the definition of interval-valued fuzzy equivalencies
    Li, Yingfang
    He, Xingxing
    Qin, Keyun
    Meng, Dan
    [J]. FUZZY SETS AND SYSTEMS, 2017, 322 : 70 - 85
  • [2] Optimization Method for the Selection of the Appropriate Interval-valued Fuzzy Implication
    Ju Hongmei
    Yin Sihang
    Xie Bin
    [J]. PROCEEDINGS OF 2009 CONFERENCE ON SYSTEMS SCIENCE, MANAGEMENT SCIENCE & SYSTEM DYNAMICS, VOL 3, 2009, : 135 - 138
  • [3] Generalized Interval-Valued Fuzzy Rough Sets Based on Interval-Valued Fuzzy Logical Operators
    Hu, Bao Qing
    Wong, Heung
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2013, 15 (04) : 381 - 391
  • [4] Generalized interval-valued fuzzy rough sets based on interval-valued fuzzy logical operators
    [J]. Hu, B.Q. (bqhu@whu.edu.cn), 1600, Chinese Fuzzy Systems Association (15):
  • [5] Robustness of Interval-Valued Intuitionistic Fuzzy Reasoning Quintuple Implication Method
    Zeng, Shuiling
    Tang, Minzhi
    Sun, Qianfang
    Lei, Lixiang
    [J]. IEEE ACCESS, 2022, 10 : 8328 - 8338
  • [6] On the Decomposition of Interval-Valued Fuzzy Morphological Operators
    Tom Mélange
    Mike Nachtegael
    Peter Sussner
    Etienne E. Kerre
    [J]. Journal of Mathematical Imaging and Vision, 2010, 36 : 270 - 290
  • [7] On the construction of interval-valued fuzzy morphological operators
    Melange, Tom
    Nachtegael, Mike
    Sussner, Peter
    Kerre, Etienne E.
    [J]. FUZZY SETS AND SYSTEMS, 2011, 178 (01) : 84 - 101
  • [8] Interval-valued intuitionistic fuzzy aggregation operators
    Weize Wang 1
    2. State Key Laboratory of Rail Traffic Control and Safety
    [J]. Journal of Systems Engineering and Electronics, 2012, 23 (04) : 574 - 580
  • [9] Interval-valued intuitionistic fuzzy aggregation operators
    Wang, Weize
    Liu, Xinwang
    Qin, Yong
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2012, 23 (04) : 574 - 580
  • [10] On interval-valued fuzzy rough approximation operators
    Tang, Weidong
    Wu, Jinzhao
    Liu, Meiling
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (01) : 166 - 180
12345