Overview
- Offers a comprehensive introduction to Moldstov’s soft set theory
- Describes the applications of soft sets in the field of decision-making
- Covers various types of soft sets, such as rough sets, topological spaces, and fuzzy sets
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 400)
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Table of contents (6 chapters)
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Front Matter
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Historical Perspective of Soft Sets
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Front Matter
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Back Matter
Keywords
- Operations of Soft Sets
- Softness of Soft Sets
- Soft Topological Spaces
- Soft Rings and Semi Rings
- Algebraic Structures of Soft Sets
- Lattice Structure of Soft Sets
- Relationships of Soft Sets with Information Systems
- Hybrid Soft Set Structures
- Soft Matrix Theory
- Medical Diagnosis with Soft Sets
- Data Filling with Soft Sets
- Soft Rough Sets
- Fuzzy Soft Sets
About this book
This book offers a self-contained guide to the theory and main applications of soft sets. It introduces readers to the basic concepts, the algebraic and topological structures, as well as hybrid structures, such as fuzzy soft sets and intuitionistic fuzzy sets. The last part of the book explores a range of interesting applications in the fields of decision-making, pattern recognition, and data science. All in all, the book provides graduate students and researchers in mathematics and various applied science fields with a comprehensive and timely reference guide to soft sets.
Authors and Affiliations
Bibliographic Information
Book Title: Soft Sets
Book Subtitle: Theory and Applications
Authors: Sunil Jacob John
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-030-57654-7
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-57653-0Published: 01 October 2020
Softcover ISBN: 978-3-030-57656-1Published: 02 October 2021
eBook ISBN: 978-3-030-57654-7Published: 01 October 2020
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XX, 251
Number of Illustrations: 21 b/w illustrations
Topics: Computational Intelligence, Order, Lattices, Ordered Algebraic Structures, Information Systems Applications (incl. Internet)