Optimal Scale Selections in Consistent Generalized Multi-scale Decision Tables

Xu, Yang; Wu, Wei-Zhi; Tan, Anhui

doi:10.1007/978-3-319-60837-2_15

Cited by 5 publications

(2 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The theoretical model of multi-scale decision information systems was first proposed by Wu and Leung [21]. Some scholars have participated in this study [21][22][23][24][25][26][27][38][39][40][41], Li and Hu generalized this model in paper [27]. Among many studies, optimal scale selection is an important subject.…”

Section: Relational Matrix In Generalized Multi-scale Information Sysmentioning

confidence: 99%

See 1 more Smart Citation

Matrix Method for the Optimal Scale Selection of Multi-Scale Information Decision Systems

Chen

Huang

2019

Mathematics

View full text Add to dashboard Cite

In multi-scale information systems, the information is often characterized at multi scales and multi levels. To facilitate the computational process of multi-scale information systems, we employ the matrix method to represent the multi-scale information systems and to select the optimal scale combination of multi-scale decision information systems in this study. To this end, we first describe some important concepts and properties of information systems using some relational matrices. The relational matrix is then introduced into multi-scale information systems, and used to describe some main concepts in systems, including the lower and upper approximate sets and the consistence of systems. Furthermore, from the view of the relation matrix, the scale significance is defined to describe the global optimal scale and the local optimal scale of multi-scale information systems. Finally, the relational matrix is used to compute the scale significance and to construct the optimal scale selection algorithms. The efficiency of these algorithms is examined by several practical examples and experiments.

show abstract

Section: Relational Matrix In Generalized Multi-scale Information Sysmentioning

confidence: 99%

“…Among many studies, optimal scale selection is an important subject. Wu, Li et al [29,38,40] studied the optimal scale selection of multi-scale decision information systems. Gu et al [39] studied the optimal scale selection of incomplete multi-scale decision information systems.…”

Section: Relational Matrix In Generalized Multi-scale Information Sysmentioning

confidence: 99%