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International Journal of Neutrosophic Science
Volume 11 , Issue 2, PP: 62-75 , 2020 | Cite this article as | XML | Html |PDF


An Analysis on Novel Corona Virus by a Plithogenic Approach to Fuzzy Cognitive Map

Authors Names :   R.Sujatha   1     S.Poomagal   2     G.Kuppuswami   3     Said Broumi   4  

1  Affiliation :  Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, INDIA

    Email :  sujathar@ssn.edu.in

2  Affiliation :  Department of Mathematics, University College of Engineering – Kancheepuram, Kancheepuram,INDIA

    Email :  poomagal777@gmail.com

3  Affiliation :  Department of Mathematics, Sri Venkateswaraa College of Technology, Sriperumbudur, INDIA

    Email :  gkuppuswamiji@gmail.com

4  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben MSik, University Hassan II, Casablanca, Morocco

    Email :  broumisaid78@gmail.com

Doi   :   https://doi.org/10.54216/IJNS.0110201

Received: Jun 13, 2020 Accepted: September 25, 2020

Abstract :


In this paper a Plithogenic approach to Fuzzy cognitive map has been proposed to analyse the impact of novel corona virus.Contradiction degree is an advantageous feature of Plithogenic sets which highly deals with the uncertainty and it substantially increases the accuracy of results. In this research, a new approach is proposed to accumulate the opinions of experts.Using contradiction degree between opinions of experts and plithogenicoperator,the connection matrices obtained from distinct experts are aggregated to improvise a degree of uncertainty. An Analysis on covid-19 (causes, spread and precaution) is done based on the proposed methodology.


Keywords :

Fuzzy cognitive maps , Plithogenic sets , Covid-19 , Plithogenic operators

References :

[1]        Axelrod.R, “Structure of decision: Thecognitive maps of political elites”Princeton University Press,1976.

[2]        Zadeh, L. A. “Fuzzy set”, Inform and Control, 1965,v.8, 338-353.

[3]        Kosko.B, “Fuzzy cognitive maps”, Int. J. Man-Machine Studies, 1986,v. 24,no. 3, 65-75,.

[4]        C. E. Pelaez, J. B. Bowles, “Applying fuzzy cognitive-maps knowledge-representation to failure modes effects analysis”, Reliability and Maintainability Symposium Proceedings, 1995,450-456,.

[5]        Papageorgiou, Elpiniki I;“A Fuzzy Inference Map approach to cope with uncertainty in modeling medical knowledge and making decisions”DOI: 10.3233/IDT-2011-0108.

[6]        E. Yesil, M. F. Dodurka, L. Urbas L, “Triangular Fuzzy Number Representation of Relations in Fuzzy Cognitive Maps”, IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), DOI: 10.1109/FUZZ-IEEE.2014.6891653,2014.

[7]        M. F. Dodurka, A. Sahin, E. Yesil, L. Urbas, “Learning of FCMs with links represented via fuzzy triangular numbers”, IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015,1-8.

[8]        F. Dodurka, E. Yesil, L. Urbas, “Causal effect analysis for fuzzy cognitive maps designed with non-singleton fuzzy numbers”, Neurocomputing , 2017,v. 232, 122-132,.

[9]        Nivetha Martin and FlorentinSmarandache,“Plithogenic Cognitive Maps in Decision Making”, International Journal of Neutrosophic Science, 2020,v.7, no. 1, 8-31.

[10]      Smarandache, F. “Plithogeny, Plithogenic Set, Logic, Probability, and Statistics”,arXiv:1808.03948,2018.

[11]      Mohamed Abdel-Basset, Rehab Mohamed, Abd El-Nasser H. Zaied and FlorentinSmarandache,“A hybrid plithogenic decision-making approach with quality function deployment for selecting supply chain sustainability metrics” Symmetry, 2019, v.11, 903.

[12]      Mohamed Abdel-Basseta, Mohamed El-hosenyb, AbduallahGamala, FlorentinSmarandachec, “A novel model for evaluation Hospital medical care systems based on plithogenic sets”,https://doi.org/10.1016/j.artmed.2019.101710,2019.

[13]      Grida, Mohamed; Rehab Mohamed; and Abdelnaser H. Zaid. "A Novel Plithogenic MCDM Framework for Evaluating the Performance of IoT Based Supply Chain." Neutrosophic Sets and Systems,2020, v.33,no. 1. 

[14]      Abdel-Basset M, Mohamed R, “A novel plithogenic TOPSIS- CRITIC model for sustainable supply chain risk management”, Journal of Cleaner Production, doi: https:// doi.org/10.1016/j.jclepro.2019.119586.

[15]      Zimmermann H.J (2011) Fuzzy Set Theory and its Application,Fourth ed., Springer.

[16]      FlorentinSmarandache ,Vasanthakandasamy W.B, (2003) “Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps”, Xiquan, Phoenix.

[17]      GroumposP.Peter,AnninouP.Antigoni,GroumposP.Vasileios,“A New Mathematical Modelling Approach for Viticulture and Winemaking Using Fuzzy Cognitive Maps”,IFAC-PapersOnLine,2015,v. 48,no.24, 15-20.

[18]      Shing-ChungNgan,“Decision making with extended fuzzy linguistic computing, with applications to new product development and survey analysis”,https://doi.org/10.1016/j.eswa.2011.04.213,2011.

[19]      Ying-Ming Wang, Jian-Bo Yang, Dong-Ling Xu, Kwai-Sang Chin, “On the centroids of fuzzy numbers”, Fuzzy Sets  Syst., 2006, v.157, 919 – 926,.

[20]      Amirkani,A. ;Papageorgiou,E.I.;Mohseni,A.;Mosavi,M.R.“A Review of Fuzzy Cognitive Maps in Medicine: Taxonomy, Methods, and Applications”, Computer Methods and Programs in Biomedicine,2017,v.142,129-145.

[21]      Stylios C.D., Georgopoulos V.C. ,”Fuzzy Cognitive Maps Structure for Medical Decision Support Systems”, In: Forging New Frontiers: Fuzzy Pioneers II. Studies in Fuzziness and Soft Computing, Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73185-6_7,2008,v. 218.

[22]      Douali,N. ; Papageorgiou,E.I. ; Roo, J.D. ; Cools,H. ; Jaulent,M.C. Clinical Decision Support System based on Fuzzy Cognitive Maps. Journal of Computer Science & Systems Biology,2015,v.8,no.1, 112-120.

[23]      Khodadadi,M., ; Shayanfar,H. ; Maghooli,K. ; HooshangMazinan,A.”Prediction of stroke probability occurrence based on fuzzy cognitive maps”, AUTOMATIKA,2019,v.4, 385-392.

[24]      Papageorgiou,E.I.;Jayashree,S. ;Akila, K.;Nikolaos,P.A, “Risk Management Model for Familial Breast Cancer: A New Application using Fuzzy Cognitive Map method”,Computer methods and programs in biomedicine,2015,v.122,no.2, 1-13.

[25]      Neil ,A.,Hilah,S.”Fuzzy cognitive mapping: An old tool with new uses in nursing research”, Journal of Advanced Nursing,2019,v.75.no.12,1-8.

[26]      Merlyn Margaret,H. ;Lilly Merline,W.A. “Study on the symptoms of migraine using induced fuzzy cognitive maps”,AIP Conference Proceedings,2019,v.2112, 1-5.

[27]      N. Chen, M. Zhou, X. Dong, J. Qu, F. Gong, Y. Han, Y. Qiu, J. Wang, Y. Liu, Y. Wei, J. Xia, T. Yu, X. Zhang, L. Zhang, “Epidemiological and clinical characteristics of 99 cases of 2019 novel coronavirus pneumonia in Wuhan, China: A descriptive study”, THE LANCET, doi:10.1016/S0140-6736(20)30211-7 Medline,395,2020, 507–513.

[28]      P. Zhou, X.-L. Yang, X.-G. Wang, B. Hu, L. Zhang, W. Zhang, H.-R. Si, Y. Zhu, B. Li, C.- L. Huang, H.-D. Chen, J. Chen, Y. Luo, H. Guo, R.-D. Jiang, M.-Q. Liu, Y. Chen, X.-R. Shen, X. Wang, X.-S. Zheng, K. Zhao, Q.-J. Chen, F. Deng, L.-L. Liu, B. Yan, F.-X. Zhan, Y.-Y. Wang, G.-F. Xiao, Z.-L. Shi, “A pneumonia outbreak associated with a new coronavirus of probable bat origin”, Nature, doi:10.1038/s41586-020-2012-7 Medline,2020,v.579, 270–273.

[29]      Huang C, Wang Y, Li X, Ren L, Zhao J, Hu Y, et al. “Articles Clinical features of patients infected with 2019 novel coronavirus in Wuhan. China 2020”,THE LANCET,http://dx.doi.org/10.1016/S0140-6736(20)30183-5,2020,v.395, 497-506.

[30]      Wang D, Hu B, Hu C, Zhu F, LiuX, Zhang J, et al. “Clinical characteristics of 138 hospitalized patients with 2019 novel coronavirus–Infected pneumonia in Wuhan, China”,JAMA. 2020;v.323,no.11, 1061-1069, doi:10.1001/jama.2020.1585.

[31]      Wu Z, McGoogan JM.,“Characteristics of and Important Lessons from the Coronavirus Disease 2019 (COVID-19) Outbreak in China: Summary of a Report of 72 314 Cases from the Chinese Center for Disease Control and Prevention”, JAMA 2020, http://dx.doi.org/10.1001/jama.2020.2648.

[32]      Prem Kumar Singh, “Multi–granular based n–valued neutrosophic contexts analysis”, Granular Computing, 2020,v.5, 287-301. DOI: 10.1007/s41066-019-00160-y. 

[33]      Prem Kumar Singh, “Plithogenic set for multi-variable data analysis”,International Journal of Neutrosophic Sciences,2020, v. 1, no. 2, 81-89, DOI: 10.5281/zenodo.3689808.

[34]      Prem Kumar Singh, “Three-way n-valued neutrosophic concept lattice at different granulation”,International Journal of Machine Learning and Cybernetics, 2018,v. 9, no. 11,1839-1855.

[35]      F. Smarandache, “Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set”, Neutrosophic sets and system, 2018,v. 22,168-170.



Cite this Article as :
R.Sujatha , S.Poomagal , G.Kuppuswami , Said Broumi, An Analysis on Novel Corona Virus by a Plithogenic Approach to Fuzzy Cognitive Map, International Journal of Neutrosophic Science, Vol. 11 , No. 2 , (2020) : 62-75 (Doi   :  https://doi.org/10.54216/IJNS.0110201)