Minimal solution of fuzzy neutrosophic soft matrix

Authors

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

volume 06  issue 02

pages  171- 190

publication date 2017-04-01

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