Soft Sets: Theory and Applications

by John, Sunil Jacob

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Title Statements

Full title :Soft Sets : Theory and Applications.

Edition Statements

Publication Date:2020.

Publication Statements

Publisher(s):Springer International Publishing AG
Place of Publication:Cham
Language:eng
Publication Date:2020.

Notes

Description based upon print version of record.

6.1.2 Parameterization Reduction of Soft Sets.

The Physical Object

Description:1 online resource (265 p.).

Edition Identifiers

ISBN:9783030576547, 303057654X
oclc:on1225547147
LC Classification:TA1-2040
Dewey Decimal:572/.2

Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- Acronyms -- Part I Historical Perspective of Soft Sets -- 1 Soft Sets -- 1.1 Basic Definitions and Examples -- 1.1.1 Tabular Representation of a Soft Set -- 1.2 Operations of Soft Sets -- 1.2.1 De Morgan Laws -- 1.3 Cartesian Product, Relations and Partitions -- 1.3.1 Soft Set Relations -- 1.3.2 Induced Relations from Universal Set and the Attribute Set -- 1.3.3 Equivalence Relations and Partitions on Soft Sets -- 1.3.4 Kernels of Soft Set Relations -- 1.3.5 Closures of Soft Set Relations -- 1.3.6 Orderings on Soft Sets

1.4 Soft Mappings -- 1.5 Distance and Similarity Measures -- 1.5.1 Similarity Measure of Two Soft Sets -- 1.5.2 Distances Between Soft Sets -- 1.5.3 Distance Based Similarity Measure of Soft Sets -- 1.6 Softness of Soft Sets -- 1.7 Representations of Fuzzy Sets, Rough Sets and Topological Spaces as Soft Sets -- 1.7.1 Fuzzy Sets as Soft Sets -- 1.7.2 Topological Spaces as Soft Sets -- 1.7.3 Rough Sets as Soft Sets -- 2 Algebraic Structures of Soft Sets -- 2.1 Soft Groups -- 2.1.1 Normalistic Soft Groups -- 2.2 Soft BCK/BCI-Algebras -- 2.3 Soft Rings and Ideals -- 2.3.1 Idealistic Soft Rings

2.4 Soft M…