Three-way fuzzy concept lattice representation using neutrosophic set

被引:100
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
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