1
Department of Mathematics, Arul Anandar College (Autonomous), Karumathur
(nivetha.martin710@gmail.com)
2
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
(smarand@unm.edu)
3
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca,
(broumisaid78@gmail.com)
Abstract :
Plithogenic Hypersoft set is the multi argument function with plithogenic universe of discourse and single dominant attribute value. The theory of plithogenic sets deals with the attributes and it is of the form (P, a, V, d, c) characterized by the degree of appurtenance and contradiction. This paper introduces the approach of plithogenic hypersoft sets with two independent dominant attribute values pertaining to each attribute to handle the dual system of decision making. The proposed decision making model is validated with the data of the present COVID -19 pandemic situations. The objective of the model is to rank the patients being identified as asymptotic and affected using Frequency Matrix Multi Attributes Decision making system. Combined plithogenic hypersoft representations of the degree of appurtenance between the patients and the attribute values make the decision-making model more comprehensive and feasible. The developed model can be extended to other decision making environment with various forms of degree of appurtenance.
Keywords :
Plithogenic Hypersoft sets , dual Dominant attributes , decision making , pandemic , COVID-19
References :
[1] A.Zadeh,Fuzzy set, Inform and Control, 8, 338-353,1965.
[2] A.M.Coroiu, Fuzzy methods in decision making process, A particular approach in manufacturing system, IOP Conference Series: Materials Sciences and Engineering, vol. 95, 2015.
[3] C.Wei,Andria, A. Xiao, H.W. Wei, C.S Lai, A new fuzzy decision-making approach for selecting new product development project, Concurrent Engineering, vol. 24,No.2, pp. 240–250,2016.
[4] D.A.Molodtsov, Soft set theory – first results, Computers and Mathematics with applications, 37, pp.19-31,1991.
[5] P.K.Maji, R. Biswas, and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9, No. 3,pp 589–602,2001.
[6] Qinrong Feng, Xiao Guo, A Novel Approach to Fuzzy Soft Set-Based Group Decision-Making, Complexity, 20,pp 1-13,2018.
[7] Muhammad Naveed Jafar, Ali Hamza and Sara Farooq,A Best Technique of Weight Lose using Fuzzy Soft Systems. International Journal of Computer Applications 176,No.16,pp.42-47,2020.
[8] Liu, Zhicai and Qin, Keyun and Pei, Zheng, A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution, Symmetry,9 ,No.10,1-13,2017.
[9] F. Smarandache: Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, 22, pp. 168-170,2018.
[10] M.Sagaya Bavia, D.Nagarajan, M. Lathamaheswari, J. Kavikumar., Fuzzy whole hypersoft set and their application in frequency matrix multi attribute decision making technique (MADMT), AIP Conference Proceedings , 2282 (1), pp.1-12,2020.
[11] K.T.AtanassovIntuitionistic fuzzy set. Fuzzy set and Systems, 20, No.1, pp.87-96,1986
[12] Cagman Naim Karataş, Serkan, Intuitionistic fuzzy soft set theory and its decision making, Journal of Intelligent & Fuzzy Systems, 24, 4, pp.829-836,2013.
[13] Irfan Delia, Cagman Naim, Intuitionistic fuzzy parameterized soft set theory and its decision making, Applied Soft Computing 28,pp.109–113,2015.
[14] Rana Muhammad Zulqarnain ,Xiao Long Xin ,Muhammad Saeed, Extension of TOPSIS method under intuitionistic fuzzy hypersoft environment based on correlation coefficient and aggregation operators to solve decision making problem, AIMS Mathematics, 6, No.3,pp.2732-2755,2021.
[15] Chunqiao Tan, Benjiang Ma, Desheng Dash Wu and Xiaohong Chen,Multi-Criteria Decision Making Methods Based on Interval-Valued Intuitionistic Fuzzy Sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 22, No.3, pp. 469-488,2014.
[16] Babak Daneshvar Rouyendegh, Evaluating Projects Based on Intuitionistic Fuzzy Group Decision Making, Journal of Applied Mathematics, 12,pp.1-16,2012.
[17] J. H. Park, I. Y. Park, Y. C. Kwun, and X. Tan,Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment, Applied Mathematical Modelling, 35, No.5, pp. 2544–2556,2011
[18] B.Chetia,P. K. Das, Some results of intuitionistic fuzzy soft matrix theory, Advances in Applied Science Research, 3,No.1,pp. 412-423,2012
[19] S.Das ,S. Kar, Group decision making in medical system: an intuitionistic fuzzy soft set approach, Applied soft computing 24, 196-211,2014.
[20] F.Smarandache, Collected Papers, Vol. II, University of Kishinev Press, Kishinev,1997.
[21] F.Smarandache, A Unifying Field in Logic Neutrosophy, Neutrosophic Probability Set and Logic, Rehoboth, American Research Press,1999.
[22] F.Smarandache, Neutrosophy, A New Branch of Philosophy, Multiple Valued Logic / An International Journal, USA, 8,No.3, pp.297-384,2002
[23] Faruk Karaaslan, Neutrosophic Soft Sets with Applications in Decision Making, International Journal of Information Science and Intelligent System, 4, No.2. pp.1-20, 2015
[24] Muhammad Saqlain , Sana Moin, Muhammad Naveed Jafar , Muhammad Saeed and Florentin Smarandache, Aggregate Operators of Neutrosophic Hypersoft Set, Neutrosophic Sets and Systems, 32,pp.1-13,2020.
[25] S.Jha, S., Kumar, R., Son, L.H. et al, Neutrosophic soft set decision making for stock trending analysis. Evolving Systems 10, pp.621–627,2019.
[26] Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar,A Study of Social Media linked MCGDM Skill under Pentagonal Neutrosophic Environment in the Banking Industry, Neutrosophic Sets and Systems, 35, pp.119-141,2020.
[27] Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi and Iqra Nawaz, Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making, Neutrosophic Sets and Systems, 35, pp.198 -210,2020.
[28] Abhijit Saha, Florentin Smarandache, Jhulaneswar Baidya and Debjit Dutta, MADM Using Generalized q-Neutrosophic Sets, Neutrosophic Sets and Systems, 35, pp.252 -268,2020.
[29] Sarwar Sindhu, Tabasam Rashid and Agha Kashif, (2020),Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Neutrosophic Sets and Systems, vol.35, 547-562.
[30] Irfan Deli, S.Broumi, Neutrosophic soft sets and neutrosophic soft matrices based on decision making, Journal of Intelligent & Fuzzy Systems ,28, pp.2233–2241,2015.
[31] M.Abdel-Basset, N.A.Nabeeh, H.A.El-Ghareeb, A.Aboelfetouh, Utilising neutrosophic theory to solve transition difficulties of IoT-based enterprises. Enterprise Information Systems, 39,pp.1-21,2019.
[32] M.Abdel-Basset, V.Chang, A.Gamal, Evaluation of the green supply chain management practices: A novel neutrosophic approach. Computers in Industry, 108, pp.210-220, 2019.
[33] F.Smarandache, Plithogeny, Plithogenic Set, Logic, Probability, and Statistics, 2018.
[34] Martin Nivetha, F.Smarandache, Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook, Neutrosophic Sets and Systems, 33, pp.78-91,2020.
[35] F.Smarandache, Martin Nivetha ,Plithogenic n-Super Hypergraph in Novel Multi-Attribute-Decision Making, International Journal of Neutrosophic Science, 7, No. 1, pp.08-30,2020.
[36] Martin Nivetha, F.Smarandache, Plithogenic Cognitive Maps in Decision Making, International Journal of Neutrosophic Science, 9, No. 1,pp.9-21,2020.
[37] Nivetha Martin; R. Priya; Florentin Smarandache ,New Plithogenic sub cognitive maps approach with mediating effects of factors in COVID-19 diagnostic model, Journal of Fuzzy Extension and Applications, 2,pp.1-14,2021.
[38] M.Abdel-Basset, M.El-hoseny, A. Gamal, F.Smarandache, A novel model for green supply chain management practices based on plithogenic sets. Artificial intelligence in medicine, 43, No.2,pp.1-38, 2019.
[39] M.Abdel-Basset, R. Mohamed, A.E. Zaied, F.Smarandache, A hybrid plithogenic decision-making approach with quality function deployment for selecting supply chain sustainability metrics. Symmetry, 11,No.7,pp.1-21,2019.
[40] M.Abdel-Basset, G.Manogaran, A. Gamal, V.Chang, A Novel Intelligent Medical Decision Support Model Based on Soft Computing and IoT. IEEE Internet of Things Journal,1,No.1,pp.99-108, 2019.
[41] F.Smarandache, Extension of Soft set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, 22, pp.68-70,2018
[42] Shazia Rana, Madiha Qayyum, Muhammad Saeed, Florentin Smarandache, and Bakhtawar Ali Khan, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Neutrosophic Sets and Systems, 28, pp.34-50,2019.
[43] Martin Nivetha, F.Smarandache ,Introduction to Combined Plithogenic Hypersoft Sets, Neutrosophic Sets and Systems, 35, pp.503-510,2020.
[44] Shazia Rana., Muhammad Saeed.,Midha Qayyum.,Florentin Smarandache, Plithogenic Subjective Hyper-Super-Soft Matrices with New Definitions & Local, Global, Universal Subjective Ranking Model. International Journal of Neutrosophic Science, 6,No.2.pp.56-79,2020.
[45] R.Ahmad, Muhammad, Saeed, Muhammad, Afzal, Usman, Yang, Miin-Shen, A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment,Symmetry 12, No. 11,pp.1-23,2020.
[46] Solairaju,Shajahan,Transforming Neutrosophic Fuzzy Set into Fuzzy Set by Imprecision Method”, Journal of Computer and Mathematical Sciences, 9,No.10.1392-1399,2018.
[47] R.Şahin Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment, Neural Computing and Applications, 1,pp,1-9,2014.
| Style | # |
|---|---|
| MLA | Nivetha Martin, Florentin Smarandache, broumi said. "COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes." International Journal of Neutrosophic Science, Vol. 13, No. 2, 2021 ,PP. 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |
| APA | Nivetha Martin, Florentin Smarandache, broumi said. (2021). COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes. Journal of International Journal of Neutrosophic Science, 13 ( 2 ), 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |
| Chicago | Nivetha Martin, Florentin Smarandache, broumi said. "COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes." Journal of International Journal of Neutrosophic Science, 13 no. 2 (2021): 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |
| Harvard | Nivetha Martin, Florentin Smarandache, broumi said. (2021). COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes. Journal of International Journal of Neutrosophic Science, 13 ( 2 ), 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |
| Vancouver | Nivetha Martin, Florentin Smarandache, broumi said. COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes. Journal of International Journal of Neutrosophic Science, (2021); 13 ( 2 ): 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |
| IEEE | Nivetha Martin, Florentin Smarandache, broumi said, COVID-19 Decision-Making Model using Extended Plithogenic Hypersoft Sets with Dual Dominant Attributes, Journal of International Journal of Neutrosophic Science, Vol. 13 , No. 2 , (2021) : 75-86 (Doi : https://doi.org/10.54216/IJNS.130204) |