Title
Multi-Granulation Picture Hesitant Fuzzy Rough Sets
Abstract
We lay the theoretical foundations of a novel model, termed picture hesitant fuzzy rough sets, based on picture hesitant fuzzy relations. We also combine this notion with the ideas of multi-granulation rough sets. As a consequence, a new multi-granulation rough set model on two universes, termed a multi-granulation picture hesitant fuzzy rough set, is developed. When the universes coincide or play a symmetric role, the concept assumes the standard format. In this context, we put forward two new classes of multi-granulation picture hesitant fuzzy rough sets, namely, the optimistic and pessimistic multi-granulation picture hesitant fuzzy rough sets. Further, we also investigate the relationships among these two concepts and picture hesitant fuzzy rough sets.
Year
DOI
Venue
2020
10.3390/sym12030362
SYMMETRY-BASEL
Keywords
DocType
Volume
rough set,picture hesitant fuzzy rough relation,picture hesitant fuzzy rough set,multi-granulation picture hesitant fuzzy rough set,optimistic picture hesitant fuzzy rough set,pessimistic picture hesitant fuzzy rough set
Journal
12
Issue
Citations 
PageRank 
3
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Bibin Mathew100.34
Sunil Jacob John2718.42
José Carlos R. Alcantud301.01