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Neural Computing and Applications
Published in: Neural Computing and Applications 5/2018

16-12-2016 | Original Article

Trapezoidal fuzzy multi-number and its application to multi-criteria decision-making problems

Authors: Vakkas Uluçay, Irfan Deli, Mehmet Şahin

Published in: Neural Computing and Applications | Issue 5/2018

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Abstract

In this paper, the concept of trapezoidal fuzzy multi-number (TFM-number) is proposed and some desired operational laws with properties are introduced. In the TFM-number, the occurrences are more than one with the possibility of the same or the different membership functions and the TFM-number is an extension of both fuzzy number set and fuzzy set, allowing the repeated occurrences of any element. Also, aim of this paper is to investigate a multiple criteria decision-making (MCDM) method under TFM-number environment. To construct this method, we first introduce some operational laws on TFM-number based on t-norm and s-norm. Then, TFM-number arithmetic and geometric operators are proposed. Finally, we develop an MCDM method and apply to an MCDM problem to verify the introduced decision-making methods.
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Metadata
Title
Trapezoidal fuzzy multi-number and its application to multi-criteria decision-making problems
Authors
Vakkas Uluçay
Irfan Deli
Mehmet Şahin
Publication date
16-12-2016
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 5/2018
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-016-2760-3

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