Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets

被引:1
|
作者
Shen, Yonghong [1 ]
Chen, Wei [2 ]
机构
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] Capital Univ Econ & Business, Sch Informat, Beijing 100070, Peoples R China
基金
北京市自然科学基金;
关键词
CONSTRUCTION;
D O I
10.1155/2012/845090
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle.
引用
收藏
页数:18
相关论文
共 50 条
  • [1] Extension principles for interval-valued intuitionistic fuzzy sets and algebraic operations
    Li, Deng-Feng
    FUZZY OPTIMIZATION AND DECISION MAKING, 2011, 10 (01) : 45 - 58
  • [2] Extension principles for interval-valued intuitionistic fuzzy sets and algebraic operations
    Deng-Feng Li
    Fuzzy Optimization and Decision Making, 2011, 10 : 45 - 58
  • [3] Extension Principle Based on Neutrosophic Multi-Fuzzy Sets and Algebraic Operations
    Sahin, Mehmet
    Deli, Irfan
    Ulucay, Vakkas
    JOURNAL OF MATHEMATICAL EXTENSION, 2018, 12 (01) : 69 - 90
  • [4] Some operations on intuitionistic fuzzy sets
    De, SK
    Biswas, R
    Roy, AR
    FUZZY SETS AND SYSTEMS, 2000, 114 (03) : 477 - 484
  • [5] On algebraic structure of intuitionistic fuzzy soft sets
    Yin, Yunqiang
    Li, Hongjie
    Jun, Young Bae
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (09) : 2896 - 2911
  • [6] Note on "Some operations on intuitionistic fuzzy sets"
    Zeng, WY
    Li, HX
    FUZZY SETS AND SYSTEMS, 2006, 157 (07) : 990 - 991
  • [7] NOTE ON EXTENSION PRINCIPLE FOR FUZZY SETS
    NGUYEN, HT
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (02) : 369 - 380
  • [8] The extension principle and a decomposition of fuzzy sets
    Chalco-Cano, Y.
    Roman-Flores, H.
    Rojas-Medar, M.
    Saavedra, O. R.
    Jimenez-Gamero, M. D.
    INFORMATION SCIENCES, 2007, 177 (23) : 5394 - 5403
  • [9] Remark on two operations over intuitionistic fuzzy sets
    Atanassov, KT
    Nikolov, NG
    Aladjov, HT
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2001, 9 (01) : 71 - 75
  • [10] Remark on two operations over intuitionistic fuzzy sets
    Atanassov, Krassimir T.
    Nikolov, Nikolai G.
    Aladjov, Hristo T.
    International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, 2001, 9 (01): : 71 - 75