Generalized inverse of fuzzy neutrosophic soft matrix

Subject Areas : History and biography

R.  Uma ¹ (Department of Mathematics, Annamalai University, Annamalainagar-608002, India)
P.  Murugadas ² (Department of Mathematics, Annamalai University, Annamalainagar-608002. India)
S.  Sriram ³ (Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India)

Received: 2017-03-01 Accepted : 2017-08-25 Published : 2017-04-01

Keywords: Fuzzy Neutrosophic Soft Set (FNSS), Fuzzy Neutrosophic Soft Matrix (FNSM), g-inverse,

Abstract :

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Whenever A is singular we can not find A^{-1}. In that case we can use g-inverse to get the solution of the above relational equations. Further, using this concept maximum and minimum g-inverse of fuzzy neutrosophic soft matrix are obtained.

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