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International Journal for Uncertainty Quantification

Published 6 issues per year

ISSN Print: 2152-5080

ISSN Online: 2152-5099

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Indexed in

INTERVAL NEUTROSOPHIC MUIRHEAD MEAN OPERATORS AND THEIR APPLICATION IN MULTIPLE ATTRIBUTE GROUP DECISION-MAKING

Volume 7, Issue 4, 2017, pp. 303-334
DOI: 10.1615/Int.J.UncertaintyQuantification.2017019865
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ABSTRACT

In recent years, neutrosophic sets (NSs) have attracted widespread attention and have been widely applied to multiple attribute decision-making (MADM). The interval neutrosophic set (INS) is an extension of NS, in which the truth-membership, indeterminacy-membership, and falsity-membership degree are expressed by interval values. Obviously, INS can conveniently describe complex information. At the same time, the Muirhead mean (MM) can capture the interrelationships among the multi-input arguments, which is a generalization of some existing aggregation operators. In this paper, we extend MM to INS, and develop some interval neutrosophic Muirhead mean (INMM) operators, and then we prove some properties and discuss some special cases with respect to the parameter vector P. Moreover, we propose two new methods to deal with MADM problems based on the proposed operators. Finally, we verify the validity of our methods by an illustrative example, and analyze the advantages of our methods by comparing with other existing methods.

CITED BY
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  2. Zhu Jianghong, Li Yanlai, Pythagorean Fuzzy Muirhead Mean Operators and Their Application in Multiple-Criteria Group Decision-Making, Information, 9, 6, 2018. Crossref

  3. Liu Peide, Teng Fei, Some Muirhead mean operators for probabilistic linguistic term sets and their applications to multiple attribute decision-making, Applied Soft Computing, 68, 2018. Crossref

  4. Peng Xindong, Dai Jingguo, Interval Neutrosophic Reducible Weighted Maclaurin Symmetric Means With Internet of Medical Things (IoMt) Industry Evaluation, IEEE Access, 7, 2019. Crossref

  5. Khan Qaisar, Liu Peide, Mahmood Tahir, Smarandache Florentin, Ullah Kifayat, Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making, Symmetry, 10, 10, 2018. Crossref

  6. Peng Xindong, New Multiparametric Similarity Measure and Distance Measure for Interval Neutrosophic Set With IoT Industry Evaluation, IEEE Access, 7, 2019. Crossref

  7. Broumi Said, Dey Arindam, Talea Mohamed, Bakali Assia, Smarandache Florentin, Nagarajan Deivanayagampillai, Lathamaheswari Malayalan, Kumar Ranjan, Shortest path problem using Bellman algorithm under neutrosophic environment, Complex & Intelligent Systems, 5, 4, 2019. Crossref

  8. Khan , Abdullah , Mahmood , Naeem , Rashid , MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators, Symmetry, 11, 10, 2019. Crossref

  9. Liu Peide, Khan Qaisar, Mahmood Tahir, Some single-valued neutrosophic power muirhead mean operators and their application to group decision making, Journal of Intelligent & Fuzzy Systems, 37, 2, 2019. Crossref

  10. Broumi Said, Nagarajan Deivanayagampillai, Bakali Assia, Talea Mohamed, Smarandache Florentin, Lathamaheswari Malayalan, The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment, Complex & Intelligent Systems, 5, 4, 2019. Crossref

  11. Gao Hengxia, Ju Yanbing, Zhang Wenkai, Ju Dawei, Multi-Attribute Decision-Making Method Based on Interval-Valued $q$ -Rung Orthopair Fuzzy Archimedean Muirhead Mean Operators, IEEE Access, 7, 2019. Crossref

  12. Zhou Li-Ping, Dong Jiu-Ying, Wan Shu-Ping, Two New Approaches for Multi-Attribute Group Decision-Making With Interval-Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights, IEEE Access, 7, 2019. Crossref

  13. Khan Qaisar, Hassan Nasruddin, Mahmood Tahir, Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making, Symmetry, 10, 10, 2018. Crossref

  14. Wang Tongjuan, The Projection Model with Unknown Weight Information under Interval Neutrosophic Environment and Its Application to Software Quality-in-Use Evaluation, Mathematical Problems in Engineering, 2020, 2020. Crossref

  15. Veerappan Chinnadurai, Albert Bobin, Multiple‐criteria decision analysis process by using prospect decision theory in interval‐valued neutrosophic environment, CAAI Transactions on Intelligence Technology, 5, 3, 2020. Crossref

  16. Khan Qaisar, Gwak Jeonghwan, Shahzad Muhammad, Alam Muhammad Kamran, A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty, Sustainability, 13, 13, 2021. Crossref

  17. Wang Haolun, T-Spherical Fuzzy Rough Interactive Power Heronian Mean Aggregation Operators for Multiple Attribute Group Decision-Making, Symmetry, 13, 12, 2021. Crossref

  18. Liu Peide, Khan Qaisar, Mahmood Tahir, Khan Rashid Ali, Khan Hidayat Ullah, Some improved pythagorean fuzzy Dombi power aggregation operators with application in multiple-attribute decision making, Journal of Intelligent & Fuzzy Systems, 40, 5, 2021. Crossref

  19. Khan Qaisar, Mahmood Tahir, Ullah Kifayat, Applications of improved spherical fuzzy Dombi aggregation operators in decision support system, Soft Computing, 25, 14, 2021. Crossref

  20. Li Guofa, Zhong Yuan, Chen Chuanhai, Jin Tongtong, Liu Yan, Reliability allocation method based on linguistic neutrosophic numbers weight Muirhead mean operator, Expert Systems with Applications, 193, 2022. Crossref

  21. Liu Peide, Khan Qaisar, Mahmood Tahir, Hassan Nasruddin, T-Spherical Fuzzy Power Muirhead Mean Operator Based on Novel Operational Laws and Their Application in Multi-Attribute Group Decision Making, IEEE Access, 7, 2019. Crossref

  22. Pouresmaeil Hassan, Khorram Esmaile, Shivanian Elyas, A parametric scoring function and the associated method for interval neutrosophic multi-criteria decision-making, Evolving Systems, 13, 2, 2022. Crossref

  23. Wang Haolun, Zhang Faming, Interaction power Heronian mean aggregation operators for multiple attribute decision making with T-spherical fuzzy information, Journal of Intelligent & Fuzzy Systems, 42, 6, 2022. Crossref

  24. Temel Tansu, Aydemir Salih Berkan, Hoşcan Yaşar, Power Muirhead mean in spherical normal fuzzy environment and its applications to multi-attribute decision-making, Complex & Intelligent Systems, 8, 4, 2022. Crossref

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