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AIMS Mathematics

2020, Volume 5, Issue 6: 5700-5715. doi: 10.3934/math.2020365
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Research article

Distance measures between interval complex neutrosophic sets and their applications in multi-criteria group decision making

  • School of Science, Southwest Petroleum University, Chengdu 610500, China
  • Received: 26 May 2020 Accepted: 06 July 2020 Published: 08 July 2020

  • MSC : 28E10, 90B50

  • As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems. Firstly, this paper shows the definitions of interval complex neutrosophic set, and especially some novel set theoretic properties. Then, some new distance measures based on Hamming, Euclidean and Hausdorff metrics are proposed. Next, an approach is developed to rank the alternatives in multi-criteria group decision-making problems. Finally, a numerical example is given to demonstrate the practicality and effectiveness of these distance measures.

    Citation: Dongsheng Xu, Xiangxiang Cui, Lijuan Peng, Huaxiang Xian. Distance measures between interval complex neutrosophic sets and their applications in multi-criteria group decision making[J]. AIMS Mathematics, 2020, 5(6): 5700-5715. doi: 10.3934/math.2020365

    Related Papers:

  • As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems. Firstly, this paper shows the definitions of interval complex neutrosophic set, and especially some novel set theoretic properties. Then, some new distance measures based on Hamming, Euclidean and Hausdorff metrics are proposed. Next, an approach is developed to rank the alternatives in multi-criteria group decision-making problems. Finally, a numerical example is given to demonstrate the practicality and effectiveness of these distance measures.


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