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Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information

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Abstract

This paper develops a method for solving the multiple attribute decision-making problems with the single-valued neutrosophic information or interval neutrosophic information. We first propose two discrimination functions referred to as score function and accuracy function for ranking the neutrosophic numbers. An optimization model to determine the attribute weights that are partly known is established based on the maximizing deviation method. For the special situations where the information about attribute weights is completely unknown, we propose another optimization model. A practical and useful formula which can be used to determine the attribute weights is obtained by solving a proposed nonlinear optimization problem. To aggregate the neutrosophic information corresponding to each alternative, we utilize the neutrosophic weighted averaging operators which are the single-valued neutrosophic weighted averaging operator and the interval neutrosophic weighted averaging operator. Thus, we can determine the order of alternatives and choose the most desirable one(s) based on the score function and accuracy function. Finally, some illustrative examples are presented to verify the proposed approach and to present its effectiveness and practicality.

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Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Nos. 71471172 and 71271124), and the authors also would like to express appreciation to the anonymous reviewers and Editors for their very helpful comments that improved the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Bayburt University, 69000, Bayburt, Turkey

    Rıdvan Şahin

  2. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China

    Peide Liu

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  1. Rıdvan Şahin
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  2. Peide Liu
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Correspondence to Rıdvan Şahin or Peide Liu.

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Şahin, R., Liu, P. Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information. Neural Comput & Applic 27, 2017–2029 (2016). https://doi.org/10.1007/s00521-015-1995-8

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  • DOI: https://doi.org/10.1007/s00521-015-1995-8

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