Title
Reduced soft matrices and generalized products with applications in decision making.
Abstract
A soft matrix multiplication of matrices in different types was not possible so far. In this study, we generalize the soft matrix products And, And–Not, Or, Or–Not defined in Cagman and Enginoglu (Comput Math Appl 59:3308–3314, 2010) so as to multiply soft matrices in different types. Furthermore, these generalizations allow us to multiply soft matrices more than two soft matrices. Therefore, we can solve decision making problems with multiple decision makers using a single product. These new operations make the process of solving decision making problems faster, easier and more convenient. Then we construct some effective decision making methods called soft distributive max–min (max–max, min–min, min–max) decision making methods. We also provided Scilab codes to demonstrate our methods.
Year
DOI
Venue
2018
10.1007/s00521-016-2542-y
Neural Computing and Applications
Keywords
Field
DocType
Soft set, Soft matrix, Products of soft matrices, Soft distributive max–min decision making
Distributive property,Mathematical optimization,Algebra,Generalization,Matrix (mathematics),Soft set,Algorithm,Matrix multiplication,Mathematics
Journal
Volume
Issue
ISSN
29
9
1433-3058
Citations 
PageRank 
References 
3
0.41
24
Authors
3
Name
Order
Citations
PageRank
Akın Osman Atagün11227.37
Hüseyin Kamaci251.47
Onur Oktay361.12