Title
Optimal granulation selection for similarity measure-based multigranulation intuitionistic fuzzy decision-theoretic rough sets.
Abstract
Similarity measure is an important uncertainty measurement in intuitionistic fuzzy set (IFS) theory. In this study, a novel similarity measure is presented by the combination of the information carried by hesitancy degree and the endpoint distance of membership and nonmembership, respectively. Moreover, a numerical example is used to verify the reasonable of the proposed similarity measure. After that, the similarity measure is applied to construct the IF decision-theoretic rough set (IF-DTRS) model and multigranulation IF decision-theoretic rough set (MG-IF-DTRS) model. Some properties of IF-DTRS and MG-IF-DTRS are also investigated. Thirdly, based on granular significance, a novel approach of optimal granulation selection is formulated. Finally, a heuristic algorithm is designed and the effectiveness of this algorithm is demonstrated by an illustrative example.
Year
DOI
Venue
2019
10.3233/JIFS-181193
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Similarity measure,Decision-theoretic rough set,Intuitionistic fuzzy sets,Rough set,Multigranulation rough set,Granulation selection
Similarity measure,Rough set,Artificial intelligence,Granulation,Mathematics,Fuzzy decision,Machine learning
Journal
Volume
Issue
ISSN
36
3
1064-1246
Citations 
PageRank 
References 
1
0.34
0
Authors
3
Name
Order
Citations
PageRank
Meishe Liang122.40
Ju-Sheng Mi2205477.81
Tao Feng328233.77