Three-way fuzzy concept lattice representation using neutrosophic set

被引:96
|
作者
Singh, Prem Kumar [1 ]
机构
[1] Amity Univ, Amity Inst Informat Technol, Sect 125, Noida 201313, UP, India
关键词
Formal concept analysis; Fuzzy concept lattice; Formal fuzzy concept; Three-way concept lattice; Neutrosophic set; APPROXIMATE CONCEPT CONSTRUCTION; GRAPH REPRESENTATION; DECISIONS; REDUCTION;
D O I
10.1007/s13042-016-0585-0
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Recently, three-way concept lattice is studied to handle the uncertainty and incompleteness in the given attribute set based on acceptation, rejection, and uncertain regions. This paper aimed at analyzing the uncertainty and incompleteness in the given fuzzy attribute set characterized by truth-membership, indeterminacy-membership, and falsity membership functions of a defined single-valued neutrosophic set. For this purpose a method is proposed to generate the component wise three-way formal fuzzy concept and their hierarchical order visualization in the fuzzy concept lattice using the properties of neutrosophic graph, neutrosophic lattice, and Godel residuated lattice with an illustrative example.
引用
收藏
页码:69 / 79
页数:11
相关论文
共 50 条
  • [1] Three-way fuzzy concept lattice representation using neutrosophic set
    Prem Kumar Singh
    International Journal of Machine Learning and Cybernetics, 2017, 8 : 69 - 79
  • [2] Neutrosophic three-way concept lattice and its application in conflict analysis
    Yang, Han
    Qin, Keyun
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 3219 - 3236
  • [3] Three-way n-valued neutrosophic concept lattice at different granulation
    Singh, Prem Kumar
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2018, 9 (11) : 1839 - 1855
  • [4] Three-way n-valued neutrosophic concept lattice at different granulation
    Prem Kumar Singh
    International Journal of Machine Learning and Cybernetics, 2018, 9 : 1839 - 1855
  • [5] Medical diagnoses using three-way fuzzy concept lattice and their Euclidean distance
    Prem Kumar Singh
    Computational and Applied Mathematics, 2018, 37 : 3283 - 3306
  • [6] Medical diagnoses using three-way fuzzy concept lattice and their Euclidean distance
    Singh, Prem Kumar
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3283 - 3306
  • [7] THE THREE-WAY OBJECT ORIENTED CONCEPT LATTICE AND THE THREE-WAY PROPERTY ORIENTED CONCEPT LATTICE
    Wei, Ling
    Qian, Ting
    PROCEEDINGS OF 2015 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOL. 2, 2015, : 854 - 859
  • [8] Three-way concept lattices triggered by Pythagorean fuzzy set and interval set
    Zhao, Jie
    Wan, Renxia
    Miao, Duoqian
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2024, : 285 - 299
  • [9] Hesitant fuzzy three-way concept lattice and its attribute reduction
    Zhang, Jun
    Hu, Qian
    Mi, Jusheng
    Fu, Chao
    APPLIED INTELLIGENCE, 2024, 54 (03) : 2445 - 2457
  • [10] Hesitant fuzzy three-way concept lattice and its attribute reduction
    Jun Zhang
    Qian Hu
    Jusheng Mi
    Chao Fu
    Applied Intelligence, 2024, 54 : 2445 - 2457