A New Method for Decision Making Based on Soft Matrix Theory
Zhiming Zhang *
College of Mathematics and Computer Science, Hebei University, Baoding 071002, Hebei Province, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
Aims: The aim of this paper is to provide a note on “Soft matrix theory and its decision making”.
Study Design: In a recent paper [N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Computers and Mathematics with Applications 59 (10) (2010) 3308-3314], Çaðman and Enginoðlu constructed a soft max-min decision making method which selected optimum alternatives from the set of the alternatives.
Place and Duration of Study: In this paper, we show by an example that Çagman and Enginoglu’s method is very likely to get an empty optimum set.
Methodology: Furthermore, we present a new approach to soft set based decision making.
Results: We give an illustrative example to show the advantage of the developed method.
Conclusion: The developed method in this paper can effectively improve the method proposed in Cagman and Enginoglu’ paper.
Keywords: Soft sets, soft matrix, products of soft matrices, soft max-min decision making