Search Advanced

AIMS Mathematics

2021, Volume 6, Issue 10: 10540-10564. doi: 10.3934/math.2021612
Previous Article Next Article
Research article

Medical waste treatment scheme selection based on single-valued neutrosophic numbers

  • 1.
    College of Computer and Cyber Security, Fujian Normal University, Fuzhou, Fujian 350117, China
  • 2.
    Digital Fujian Internet-of-Things Laboratory of Environmental Monitoring, Fujian Normal University, Fuzhou, Fujian 350117, China
  • 3.
    College of Electronics and Information Science, Fujian Jiangxia University, Fuzhou, Fujian 350108, China
  • Received: 18 April 2021 Accepted: 09 July 2021 Published: 20 July 2021

  • MSC : 62C86

  • With the rapid increase in the number of infected people in COVID-19, medical supplies have been increasing significantly. Medical waste treatment scheme selection may have long-term impacts on the economy, society, and environment. Determining the best treatment option is a considerable challenge. To solve this problem, in this paper, we proposed a multi-criteria group decision making (MCGDM) method based on single-valued neutrosophic numbers and partitioned Maclaurin symmetric mean (PMSM) operator. Because of the complexity of the medical waste treatment scheme selection problem, the single-valued neutrosophic numbers are applied to express the uncertain evaluation information. For the medical waste treatment scheme selection problem, the factors or criteria (these two terms can be interchanged.) in the same clusters are closely related, and the criteria in different clusters have no relationships. The partitioned Maclaurin symmetric mean function can handle these complicated criterion relationships. Therefore, we extend the PMSM operator to process the single-valued neutrosophic numbers and propose the single-valued neutrosophic partitioned Maclaurin symmetric mean (SVNPMSM) operator and its weighted form (SVNWPMSM). Then, we analyze their properties and give typical examples of the proposed operators. An MCGDM model based on the SVNWPMSM aggregation operator is developed and applied to solve the medical waste treatment scheme selection problem. Finally, the validity and superiority of the developed model are verified by comparing it with the previous methods.

    Citation: Jie Ling, Mingwei Lin, Lili Zhang. Medical waste treatment scheme selection based on single-valued neutrosophic numbers[J]. AIMS Mathematics, 2021, 6(10): 10540-10564. doi: 10.3934/math.2021612

    Related Papers:

  • With the rapid increase in the number of infected people in COVID-19, medical supplies have been increasing significantly. Medical waste treatment scheme selection may have long-term impacts on the economy, society, and environment. Determining the best treatment option is a considerable challenge. To solve this problem, in this paper, we proposed a multi-criteria group decision making (MCGDM) method based on single-valued neutrosophic numbers and partitioned Maclaurin symmetric mean (PMSM) operator. Because of the complexity of the medical waste treatment scheme selection problem, the single-valued neutrosophic numbers are applied to express the uncertain evaluation information. For the medical waste treatment scheme selection problem, the factors or criteria (these two terms can be interchanged.) in the same clusters are closely related, and the criteria in different clusters have no relationships. The partitioned Maclaurin symmetric mean function can handle these complicated criterion relationships. Therefore, we extend the PMSM operator to process the single-valued neutrosophic numbers and propose the single-valued neutrosophic partitioned Maclaurin symmetric mean (SVNPMSM) operator and its weighted form (SVNWPMSM). Then, we analyze their properties and give typical examples of the proposed operators. An MCGDM model based on the SVNWPMSM aggregation operator is developed and applied to solve the medical waste treatment scheme selection problem. Finally, the validity and superiority of the developed model are verified by comparing it with the previous methods.


    加载中


    [1] E. B. Tirkolaee, P. Abbasian, G. W. Weber, Sustainable fuzzy multi-trip location-routing problem for medical waste management during the COVID-19 outbreak, Sci. Total Environ., 756 (2021), 143607. doi: 10.1016/j.scitotenv.2020.143607
    [2] M. Lin, C. Huang, Z. Xu, R. Chen, Evaluating IoT platforms using integrated probabilistic linguistic MCDM method, IEEE Internet Things, 7 (2020), 11195-11208. doi: 10.1109/JIOT.2020.2997133
    [3] M. Lin, W. Xu, Z. Lin, R. Chen, Determine OWA operator weights using kernel density estimation, Econ. Res. Ekon. Istraž., 33 (2020), 1441-1464.
    [4] M. Lin, J. Wei, Z. Xu, R. Chen, Multiattribute group decision-making based on linguistic pythagorean fuzzy interaction partitioned bonferroni mean aggregation operators, Complexity, 2018 (2018), 1-24.
    [5] M. Lin, Z. Xu, Y. Zhai, Z. Yao, Multi-attribute group decision-making under probabilistic uncertain linguistic environment, J. Oper. Res. Soc., 69 (2018), 157-170. doi: 10.1057/s41274-017-0182-y
    [6] H. Li, L. Lv, F. Li, L. Wang, Q. Xia, A novel approach to emergency risk assessment using FMEA with extended MULTIMOORA method under interval-valued Pythagorean fuzzy environment, Int. J. Intell. Comput., 13 (2020), 41-65.
    [7] M. Lin, H. Wang, Z. Xu, TODIM-based multi-criteria decision-making method with hesitant fuzzy linguistic term sets, Artif. Intell. Rev., 53 (2020), 3647-3671. doi: 10.1007/s10462-019-09774-9
    [8] M. Lin, X. Li, L. Chen, Linguistic q-rung orthopair fuzzy sets and their interactional partitioned Heronian mean aggregation operators, Int. J. Intell. Syst., 35 (2020), 217-249. doi: 10.1002/int.22136
    [9] M. Lin, C. Huang, Z. Xu, MULTIMOORA based MCDM model for site selection of car sharing station under picture fuzzy environment, Sustain. Cities Soc., 53 (2020), 101873. doi: 10.1016/j.scs.2019.101873
    [10] L. A. Zadeh, Fuzzy sets, Inform. Contr., 8 (1965), 338-353.
    [11] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Set. Syst., 20 (1986), 87-96.
    [12] F. Smarandache, Neutrosophy: Neutrosophic probability, set, and logic, American Research Press, Rehoboth, 1998.
    [13] J. Ye, A multi-criteria decision-making method using aggregation operators for simplified neutrosophic sets, J. Intell. Fuzzy Syst., 26 (2014), 2459-2466. doi: 10.3233/IFS-130916
    [14] D. Rani, H. Garg, Complex intuitionistic fuzzy power aggregation operators and their applications in multi-criteria decision-making, Expert Syst., 35 (2018), e12325.
    [15] K. Khatter, Neutrosophic linear programming using possibilistic mean, Soft Comput., 24 (2020), 1-21. doi: 10.1007/s00500-019-04566-3
    [16] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Single valued neutrosophic sets, Infinite study, 2010.
    [17] M. Qiyas, M. A. Khan, S. Khan, S. Abdullah, Concept of Yager operators with the picture fuzzy set environment and its application to emergency program selection, Int. J. Intell. Comput., 13 (2020), 455-483. doi: 10.1108/IJICC-06-2020-0064
    [18] X. Xiuqin, X. Jialiang, Y. Na, W. Honghui, Probabilistic uncertain linguistic TODIM method based on the generalized Choquet integral and its application, Int. J. Intell. Comput., 12 (2021), 122-144.
    [19] A. Nazir, R. N. Mir, S. Qureshi, Exploring compression and parallelization techniques for distribution of deep neural networks over Edge-Fog continuum-a review, Int. J. Intell. Comput., 13 (2020), 331-364. doi: 10.1108/IJICC-04-2020-0038
    [20] R. R. Yager, On ordered weighted averaging aggregation operators in multi-criteria decision-making, IEEE Trans. Syst. Man Cybern., 18 (1988), 183-190. doi: 10.1109/21.87068
    [21] R. R. Yager, The power average operator, IEEE Trans. Syst. Man Cybern., 31 (2001), 724-731.
    [22] R. R. Yager, Families of OWA operators, Fuzzy set. Syst., 59 (1993), 125-148.
    [23] C. Zhang, Q. Hu, S. Zeng, W. Su, IOWLAD-based MCDM model for the site assessment of a household waste processing plant under a Pythagorean fuzzy environment, Environ. Impact Asses., 89 (2021), 106579. doi: 10.1016/j.eiar.2021.106579
    [24] R. R. Yager, D. P. Filev, Induced ordered weighted averaging operators, IEEE Trans. Syst. Man Cybern., 29 (1999), 141-150. doi: 10.1109/3477.752789
    [25] W. Jiang, B. Wei, J. Zhan, C. Xie, D. Zhou, A visibility graph power averaging aggregation operator: A methodology based on network analysis, Comput. Ind. Eng., 101 (2016), 260-268. doi: 10.1016/j.cie.2016.09.009
    [26] P. Liu, Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making, IEEE T. Fuzzy Syst., 22 (2013), 83-97.
    [27] D. W. Detemple, J. M. Robertson, On generalized symmetric means of two variables, Publikacije Elektrotehničkog fakulteta. Serija Matematika i fizika, 1979,236-238.
    [28] B. Dutta, D. Guha, Partitioned Bonferroni mean based on linguistic 2-tuple for dealing with multi-attribute group decision making, Appl. Soft Comput., 37 (2015), 166-179. doi: 10.1016/j.asoc.2015.08.017
    [29] P. Liu, Z. Liu, X. Zhang, Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision making, Appl. Math. Comput., 230 (2014), 570-586.
    [30] F. Ateş, D. Akay, Some picture fuzzy Bonferroni mean operators with their application to multi-criteria decision making, Int. J. Intell. Syst., 35 (2020), 625-649. doi: 10.1002/int.22220
    [31] M. Lin, X. Li, R. Chen, H. Fujita, J. Lin, Picture fuzzy interactional partitioned Heronian mean aggregation operators: an application to MADM process, Artif. Intell. Rev., 2021 (2021), 1-38.
    [32] P. Liu, S. M. Chen, Y. Wang, Multiattribute group decision making based on intuitionistic fuzzy partitioned Maclaurin symmetric mean operators, Inform. Sciences, 512 (2020), 830-854. doi: 10.1016/j.ins.2019.10.013
    [33] Y. Wang, P. Liu, Linguistic neutrosophic generalized partitioned Bonferroni mean operators and their application to multi-attribute group decision making, Symmetry, 10 (2018), 1-35.
    [34] P. Liu, X. Zhang, Some Maclaurin symmetric mean operators for single-valued trapezoidal neutrosophic numbers and their applications to group decision making, Int. J. Fuzzy Syst., 20 (2018), 45-61. doi: 10.1007/s40815-017-0335-9
    [35] A. Dey, T. Senapati, M. Pal, G. Chen, A novel approach to hesitant multi-fuzzy soft set based decision-making, AIMS Mathematics, 5 (2020), 1985-2008. doi: 10.3934/math.2020132
    [36] J. Qin, X. Liu, An approach to intuitionistic fuzzy multiple attribute decision making based on Maclaurin symmetric mean operators, J. Intell. Fuzzy Syst., 27 (2014), 2177-2190. doi: 10.3233/IFS-141182
    [37] D. Ju, Y. Ju, A. Wang, Multiple attribute group decision making based on Maclaurin symmetric mean operator under single-valued neutrosophic interval 2-tuple linguistic environment, J. Intell. Fuzzy Syst., 34 (2018), 2579-2595. doi: 10.3233/JIFS-17496
    [38] J. Ye, Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment, Int. J. Gen. Syst., 42 (2013), 386-394. doi: 10.1080/03081079.2012.761609
    [39] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Single valued neutrosophic sets, Infinite study, 2010.
    [40] J. Peng, J. Wang, J. Wang, H. Zhang, X. Chen, Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems, Int. J. Syst. Sci., 47 (2016), 2342-2358. doi: 10.1080/00207721.2014.994050
    [41] C. Maclaurin, A second letter to Martin Folkes, Esq; concerning the roots of equations, with demonstration of other rules of algebra, Philos. Trans. Roy. Soc. London Ser. A, 36 (1729), 59-96.
  • Reader Comments
  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
AIMS Mathematics
2.2 3

Metrics

Article views(1765) PDF downloads(102) Cited by(5)

Preview PDF
Download XML
Export Citation
Article outline

Figures and Tables

Tables(5)

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog