Three Results Of Concept Lattice

Concept lattice,as a mathematical theory,was proposed by Wille in 1982.The concept lattice simply reflects the generalization relationship and specialization relationship between concepts through Hasse diagram.As an effective tool for data analysis and knowledge processing,concept lattice has been applied to various fields,such as software engineering,decision making,and information retrieval.Neutrosophic set theory generalizes fuzzy set,interval fuzzy set,intuitionistic fuzzy set,and interval intuitionistic fuzzy set.Interval neutrosophic set is a special case of neutrosophic set,and interval number is used to express truth-membership,indeterminacy-membership,and false-membership of interval neutrosophic set.Therefore,the fuzzy characteristics of the real world can be described more meticulously through the interval neutrosophic set.Based on the current research on concept lattices and interval neutrosophic sets,the content of this paper are as follows:1.Based on the relationship between the consistency of the object-induced three-way concept lattice and the consistency of the traditional concept lattice,this paper study a method of rule extraction based on object-induced three-way concept lattice in a formal decision context.Finally,the feasibility of the extraction method is illustrated by examples.2.This paper combines the interval neutrosophic set with formal concept analysis.Aiming at the interval neutrosophic fuzzy formal context,constructs interval neutrosophic fuzzy concept lattice and computes attribute reductions using discernibility matrix and discernibility function in the sense of isomorphism.3.In the given similar interval,study how to find some interval neutrosophic fuzzy concepts which are similar to the target concept.Because the intents of interval neutrosophic fuzzy concept are expressed by interval neutrosophic sets on attribute set,this paper first gives the interval distance and interval similarity between two interval neutrosophic sets.Then,the inclusion measure of interval numbers are used to express the degree of satisfaction of the given similarity interval.Finally,the feasibility of the method is illustrated by an example.