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Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making

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Abstract

On the basis of prioritized aggregated operator and prioritized ordered weighted average (POWA) operator, in this paper, the authors further present interval neutrosophic prioritized ordered weighted aggregation (INPOWA) operator with respect to interval neutrosophic numbers (INNs). Firstly, the definition, operational laws, characteristics, expectation and comparative method of INNs are introduced. Then, the INPOWA operator is developed, and some properties of the operator are analyzed. Furthermore, based on the INPOWA operator and the comparative formula of the INNs, an approach to decision making with INNs is established. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Author information

Authors and Affiliations

  1. School of Economics and Management, Civil Aviation University of China, Tianjin, 300300, China

    Peide Liu

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

    Peide Liu & Yumei Wang

Authors
  1. Peide Liu
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  2. Yumei Wang
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Corresponding author

Correspondence to Peide Liu.

Additional information

This paper is supported by the National Natural Science Foundation of China under Grant Nos. 71471172 and 71271124, the Humanities and Social Sciences Research Project of Ministry of Education of China under Grant No. 13YJC630104, Shandong Provincial Social Science Planning Project under Grant No. 13BGLJ10, the National Soft Science Research Project under Grant No. 2014GXQ4D192, and the Natural Science Foundation of Shandong Province under Grant No. ZR2014JL046.

This paper was recommended for publication by Editor TANG Xijin.

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Liu, P., Wang, Y. Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making. J Syst Sci Complex 29, 681–697 (2016). https://doi.org/10.1007/s11424-015-4010-7

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  • DOI: https://doi.org/10.1007/s11424-015-4010-7

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