Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-29
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The major concern of this article is to propose the notion of picture fuzzy rough sets (PFRSs) over two different universes which depend on δ,ζ,ϑ-cut of picture fuzzy relation ℛ on two different universes (i.e., by combining picture fuzzy sets (PFSs) with rough sets (RSs)).
Then, we discuss several interesting properties and related results on the PFRSs.
Furthermore, we define some notions related to PFRSs such as (Type-I/Type-II) graded PFRSs, the degree α and β with respect to ℛδ,ζ,ϑ on PFRSs, and (Type-I/Type-II) generalized PFRSs based on the degree α and β with respect to ℛδ,ζ,ϑ and investigate the basic properties of above notions.
Finally, an approach based on the rough picture fuzzy approximation operators on two different universes in decision-making problem is introduced, and we give an example to show the validity of this approach.
American Psychological Association (APA)
Ahmed, Dliouah& Dai, Binxiang. 2020. Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1188217
Modern Language Association (MLA)
Ahmed, Dliouah& Dai, Binxiang. Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications. Journal of Mathematics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1188217
American Medical Association (AMA)
Ahmed, Dliouah& Dai, Binxiang. Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1188217
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188217