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Neural Computing and Applications

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27.08.2016 | Original Article

Reduced soft matrices and generalized products with applications in decision making

verfasst von: Akın Osman Atagün, Hüseyin Kamacı, Onur Oktay

Erschienen in: Neural Computing and Applications | Ausgabe 9/2018

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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.

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Titel: Reduced soft matrices and generalized products with applications in decision making
verfasst von: Akın Osman Atagün
Hüseyin Kamacı
Onur Oktay
Publikationsdatum: 27.08.2016
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 9/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-016-2542-y

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