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International Journal of Fuzzy Systems

, Volume 20, Issue 3, pp 970–985 | Cite as

Group Decision Making Based on Power Heronian Aggregation Operators Under Linguistic Neutrosophic Environment

  • Peide LiuEmail author
  • Tahir Mahmood
  • Qaisar Khan
Article

Abstract

The power average (PA) operator can overcome some effects of awkward data given by predispose decision makers, and Heronian mean (HM) operator can consider the interrelationship of the aggregated arguments. In order to take the full use of these two kinds of operators, in this article, we combined the PA operator with HM operator and extended them to process linguistic neutrosophic information, and presented the linguistic neutrosophic power Heronian aggregation operator, linguistic neutrosophic power weight Heronian aggregation operator. Further, some properties of these new aggregation operators are investigated and some special cases are discussed. Furthermore, we propose new technique based on these operators for multiple attribute group decision making. Finally, an illustrative example was given to illustrate the effectiveness and advantages of the developed method by comparing with the existing method.

Keywords

MAGDM Linguistic neutrosophic sets (LNSs) Power average (PA) operator Heronian mean (HM) Linguistic neutrosophic power weighted Heronian aggregation (LNPWHA) operator 

Notes

Acknowledgements

This paper is supported by the National Natural Science Foundation of China (Nos. 71771140, 71471172), the Special Funds of Taishan Scholars Project of Shandong Province (No. ts201511045), Shandong Provincial Social Science Planning Project (Nos. 17BGLJ04, 16CGLJ31 and 16CKJJ27), the Teaching Reform Research Project of Undergraduate Colleges and Universities in Shandong Province (No. 2015Z057), and Key research and development program of Shandong Province (No. 2016GNC110016). The authors also would like to express appreciation to the anonymous reviewers and Editors for their very helpful comments that improved the paper.

Compliance with Ethical Standards

Conflict of interest

We declare that we have no commercial or associative interest that represents a conflict of interest I connection with work submitted.

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Copyright information

© Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Management Science and EngineeringShandong University of Finance and EconomicsJinanChina
  2. 2.Department of Mathematics and StatisticInternational Islamic UniversityIslamabadPakistan

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