Minimal solution of fuzzy neutrosophic soft matrix

Subject Areas : Linear and multilinear algebra; matrix theory

M.  Kavitha ¹ (Department of Mathematics, Annamalai University, Annamalainagar-608002, India)
P.  Murugadas ² (Department of Mathematics, Government Arts college (Autonomous), Karur, India)
S.  Sriram ³ (Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India)

Received: 2000-05-22 Accepted : 1999-11-30 Published : 2017-04-01

Keywords: Fuzzy Neutrosophic Soft Set (FNSS), Fuzzy Neutrosophic Soft Matrix (FNSM), linear system of equation, unique solvability, strong regularity algorithms,

Abstract :

The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly regular) if for some fuzzy neutrosophic soft vector b the system A⊗x = b has a unique solution. A necessary and sufficient condition for linear system of equation over a FNSA to have a unique solution is formulated and the equivalent condition for FNSM to have SLI column and Strong Regular (SR) are presented. Moreover trapezoidal algorithm for testing these properties is reviewed.

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