Three-way fuzzy concept lattice representation using neutrosophic set

被引:1
作者
Prem Kumar Singh
机构
[1] Amity University,Amity Institute of Information Technology
来源
International Journal of Machine Learning and Cybernetics | 2017年 / 8卷
关键词
Formal concept analysis; Fuzzy concept lattice; Formal fuzzy concept; Three-way concept lattice; Neutrosophic set;
D O I
暂无
中图分类号
学科分类号
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 Gödel residuated lattice with an illustrative example.
引用
收藏
页码:69 / 79
页数:10
相关论文
共 77 条
[1]  
Singh PK(2016)A comprehensive survey on formal concept analysis, its research trends and applications Int J Appl Math Comput Sci 26 495-516
[2]  
Aswani Kumar C(1994)The study of the L-fuzzy concept lattice Matheware Soft Comput 1 209-218
[3]  
Abdullah G(2014)On heterogeneous formal contexts Fuzzy Sets Syst 234 22-33
[4]  
Burusco A(2001)The study on interval-valued contexts Fuzzy Sets Syst 121 439-452
[5]  
Fuentes-Gonzalez R(2014)Bipolar fuzzy graph representation of concept lattice Inf Sci 288 437-448
[6]  
Antoni L(2016)Processing linked formal fuzzy context using non-commutative composition Inst Integr Omics Appl Biotechnol (IIOAB) J 7 21-32
[7]  
Krajči S(2011)Possibility-theoretic extension of derivation operators in formal concept analysis over fuzzy lattices Fuzzy Optim Decis Mak 10 287-309
[8]  
Kŕidlo O(2014)Three-way formal concept analysis Lect Notes Comput Sci 8818 732-741
[9]  
Macek B(2016)The connections between three-way and classical concept lattices Knowl Based Syst 91 143-151
[10]  
Piskova L(2016)An information fusion technology for triadic decision contexts Int J Mach Learn Cybern 7 13-24