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Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions

Author

Listed:
  • Muhammad Gulistan
  • Mutaz Mohammad
  • Faruk Karaaslan
  • Seifedine Kadry
  • Salma Khan
  • Hafiz Abdul Wahab

Abstract

This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.

Suggested Citation

  • Muhammad Gulistan & Mutaz Mohammad & Faruk Karaaslan & Seifedine Kadry & Salma Khan & Hafiz Abdul Wahab, 2019. "Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions," International Journal of Distributed Sensor Networks, , vol. 15(9), pages 15501477198, September.
    • Handle: RePEc:sae:intdis:v:15:y:2019:i:9:p:1550147719877613
    DOI: 10.1177/1550147719877613
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    References listed on IDEAS

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    1. Surapati Pramanik & Shyamal Dalapati & Shariful Alam & Florentin Smarandache & Tapan Kumar Roy, 2018. "NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment," Mathematics, MDPI, vol. 6(5), pages 1-26, April.
    2. Young Bae Jun & Florentin Smarandache & Chang Su Kim, 2017. "Neutrosophic Cubic Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 41-54, March.
    3. Peide Liu & Li He & Xiaocun Yu, 2016. "Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 25(1), pages 103-126, January.
    4. Sarfaraz Hashemkhani Zolfani & Reza Maknoon & Edmundas Kazimieras Zavadskas, 2015. "Multiple nash equilibriums and evaluation of strategies. New application of MCDM methods," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 16(2), pages 290-306, April.
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