Neural Computing and Applications

, Volume 29, Issue 9, pp 445–456 | Cite as

Reduced soft matrices and generalized products with applications in decision making

  • Akın Osman Atagün
  • Hüseyin Kamacı
  • Onur Oktay
Original Article


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 Çağman and Enginoğlu (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.


Soft set Soft matrix Products of soft matrices Soft distributive max–min decision making 


Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.


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Copyright information

© The Natural Computing Applications Forum 2016

Authors and Affiliations

  • Akın Osman Atagün
    • 1
  • Hüseyin Kamacı
    • 1
  • Onur Oktay
    • 1
  1. 1.Department of Mathematics, Faculty of Science and ArtsBozok UniversityYozgatTurkey

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