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Soft Classes and Soft Rough Classes with Applications in Decision Making
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Rough set was defined by Pawlak in 1982.
Concept of soft set was proposed as a mathematical tool to cope with uncertainty and vagueness by Molodtsov in 1999.
Soft sets were combined with rough sets by Feng et al.
in 2011.
Feng et al.
investigated relationships between a subset of initial universe of soft set and a soft set.
Feng et al.
defined the upper and lower approximations of a subset of initial universe over a soft set.
In this study, we firstly define concept of soft class and soft class operations such as union, intersection, and complement.
Then we give some properties of soft class operations.
Based on definition and operations of soft classes, we define lower and upper approximations of a soft set.
Subsequently, we introduce concept of soft rough class and investigate some properties of soft rough classes.
Moreover, we give a novel decision making method based on soft class and present an example related to novel method.
American Psychological Association (APA)
Karaaslan, Faruk. 2016. Soft Classes and Soft Rough Classes with Applications in Decision Making. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1111754
Modern Language Association (MLA)
Karaaslan, Faruk. Soft Classes and Soft Rough Classes with Applications in Decision Making. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1111754
American Medical Association (AMA)
Karaaslan, Faruk. Soft Classes and Soft Rough Classes with Applications in Decision Making. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1111754
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111754