Three-way Concept Lattices Based on Interval-valued Hesitant Fuzzy Sets
Three-way concept lattice is an important research direction of formal concept analysis and has emerged as a powerful tool for knowledge representation and data analysis.In order to investigate the influence of interval-valued information on the formation of three-way concept lattice,this paper introduces interval-valued hesitant fuzzy sets into three-way concept analysis,and delves into three-way concept lattice in the context of interval-valued hesitant fuzzy sets.Initially,object-induced interval-valued hesitant fuzzy three-way operators and attribute-induced interval-valued hesitant fuzzy three-way operators are defined re-spectively,and on this basis,the interval-valued hesitant fuzzy three-way concept lattice model is construc-ted.Subsequently,the properties of the proposed model are investigated from the perspectives of object-in-duced and attribute-induced respectively.Finally,the validity and practicability of the proposed concept lat-tice model are verified by an illustrative example.This article provides an effective solution for three-way concept lattice in processing interval-valued information,and expands the theoretical support for studying three-way concept lattice.
万方数据
维普
