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Soft Set and Soft Group from Classical View Point


Affiliations
1 Department of Mathematics, Visva-Bharati University, Santiniketan - 731235, West Bengal, India
     

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It is shown that a soft set can be represented as a crisp set of soft elements and a soft group as a ordinary group of soft elements. From this view point it is immediate that soft group share the properties of ordinary group. Also using soft elements the definitions of soft co-sets, soft homomorphism and cyclic soft groups are presented and their properties are studied.

Keywords

Soft Element, Soft Group, Soft Homomorphism, Soft Quotient Group.
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  • Soft Set and Soft Group from Classical View Point

Abstract Views: 333  |  PDF Views: 2

Authors

S. Ray
Department of Mathematics, Visva-Bharati University, Santiniketan - 731235, West Bengal, India
S. Goldar
Department of Mathematics, Visva-Bharati University, Santiniketan - 731235, West Bengal, India

Abstract


It is shown that a soft set can be represented as a crisp set of soft elements and a soft group as a ordinary group of soft elements. From this view point it is immediate that soft group share the properties of ordinary group. Also using soft elements the definitions of soft co-sets, soft homomorphism and cyclic soft groups are presented and their properties are studied.

Keywords


Soft Element, Soft Group, Soft Homomorphism, Soft Quotient Group.

References