Volume 3, Issue 2, August 2019, Pages: 1-18
Tuhin Bera1* and Nirmal Kumar Mahapatra2
1Department of Mathematics, Boror S. S. High School, Bagnan, Howrah-711312, WB, India.
2Department of Mathematics, Panskura Banamali College, Panskura RS-721152, WB, India.
The purpose of this paper is to cultivate the group theory by means of neutrosophic soft sense in a different way. The concepts of neutrosophic soft coset, neutrosophic normal soft group, neutrosophic soft quotient group, direct product of neutrosophic soft groups and simple neutrosophic soft group have been presented in a new approach. These are illustrated by suitable examples. Their structural characteristics are investigated here in the parlance of group theory in classical sense. Two kinds of composition namely binary composition ‘o’ between the elements of a classical group and neutrosophic soft composition / neutrosophic soft product ‘o’ between the neutrosophic soft elements of neutrosophic soft groups are used to practice here. Following the classical group theory, the concepts have been developed by using the neutrosophic soft composition directly
Neutrosophic soft coset, Neutrosophic normal soft group, Neutrosophic soft quotient group, Direct product, Simple neutrosophic soft groups.
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