453 330
Full Length Article
International Journal of Neutrosophic Science
Volume 18 , Issue 1, PP: 57-72 , 2022 | Cite this article as | XML | Html |PDF


Complex Plithogenic Set

Authors Names :   Prem Kumar Singh   1 *  

1  Affiliation :  Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India

    Email :  premsingh.csjm@gmail.com

Doi   :   https://doi.org/10.54216/IJNS.180106

Received Aug. 20, 2021 Accepted: Jan 10, 2022

Abstract :

In the last decade uncertainty analysis in multi-attributes data sets is considered as one of the major issues. Same time another issues arises due to conflict among experts for their multi-valued and its existence. To resolve these issues, the properties of Plithogenic set is somehow considered as helpful for representing the multi-valued attributes and its multiple opposites, non-opposites as well as neutrals values with its contradiction. The problem arises when these values changes at given phase of time. Hence the current paper focused on introducing Complex Plithogenic set and its graphs for knowledge discovery and representation tasks with an illustrative example.

Keywords :

Complex fuzzy set; Graph Analytics; Knowledge representation; Plithogenic set; Plithogenic Complex Set.

References :

[1] Singh P.K., “Complex fuzzy concept lattice”, Neural Processing Letters, Vol. 49, Issue 3, pp. 1511-1526, 2019, doi: 10.1007/s11063-018-9884-7

 [2] Buckley JJ, "Fuzzy complex numbers", Fuzzy Sets Syst., vol. 33, pp. 333-345, 1989.

[3] Ramot D., Milo R., Friedman M., Kandel A., "Complex fuzzy sets", IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp. 171-186, Apr. 2002.

[4] Nguyen TH, Kandel A, Kreinovich V, “Complex fuzzy sets: towards new foundations” The ninth IEEE international conference on fuzzy systems, 2 (2000), pp. 1045-1048, 10.1109/FUZZY.2000.839195

[5] Singh P.K., “Granular based decomposition of complex fuzzy context and its analysis, Progress in Artificial Intelligence, Springer, vol. 8, issue 2, pp. 181-193.  doi: 10.1007/s13748-018-00170-y

[6] Singh P.K., “Complex multi-–fuzzy context analysis at different granulation”. Granular Computing, Vol. 6, Issue 1, pp. 191-206, 2021, DOI: 10.1007/s41066-019-00180-8

[7] Singh P.K., “Complex vague set based concept lattice”, Chaos, Solitons and Fractals, Vol.96, pp. 145–153, 2017, doi:10.1016/j.chaos.2017.01.019

[8] Smarandache F., “Plithogeny, Plithogenic Set, Logic, Probability, and Statistics”. In:Pons Publishing House, Brussels 2017.

[9] Smarandache F.,  “Extension of Soft Set to hyperSoft Set, and then to Plithogenic Hypersoft set” Neutrosophic Set and System, Vol. 22, pp.168-170, 2018.https://leon-samec.medium.com/extended-eulers-formula-5e99cddf4b

[10] Singh P.K., “Plithogenic set for multi-variable data analysis”. International Journal of Neutrosophic Sciences, Vol. 1, Issue 2, pp. 81-89, 2020.

[11] Gayen S., Smarandache F., Jha S., Singh M. K., Broumi S., Kumar R., “Introduction of Plithogenic hypersot subgroup”. Neutrosophic Sets and Systems Vol. 33, pp. 208-233, 2020.

[12] Rana S., Qayuum M., Saeed M., Samarandache F., Khan B. A., “Plithogenic fuzzy, whole hypersoft set, construction of operators and their application in frequency matrix multi attribute decision making technique”. Neutrosophic Sets and Systems, Vol. 28, pp. 34-50, 2019.

[13] Martin N., Smarandache F., “Introduction to Combined Plithogenic Hypersoft Sets”. Neutrosophic Sets and Systems, Vol. 35, pp. 503-510, 2020.

[14] Gomathy S., Nagarajan D., Broumi S., Lathamaheswari M., “Plithogenic sets and their application in decision making”. Neutrosophic Sets and Systems, Vol. 83, pp. 453-469, 2021.

[15] Priyadharsini S. P., Irudayam N., Smarandache F., “Plithogenic Cubic Set”. International Journal of Neutrosophic Sciences, Vol. 11, Issue (1), pp. 30-38, 2020.

[16] Vasantha Kandasamy W.B., Ilanthenral K., Smarandache F., “Plithogenic graph”. Infinite study, Indo American book, 2020.

[17] Singh P.K., “Single-valued Plithogenic graph for handling multi-valued attribute data its context”. International Journal of Neutrosophic Sciences, Vol 15, Issue 2, pp. 98-112, 2021, doi   :  10.5281/zenodo.5482171

[18] Singh P.K., “Dark data analysis using Intuitionistic Plithogenic Graphs”. International Journal of Neutrosophic Sciences, Vol. 16, Issue 2, pp. 80-100, 2021, doi: https://doi.org/10.54216/IJNS.160204

[19] Singh P.K., “Air Quality Index Analysis Using Single-Valued Neutrosophic Plithogenic Graph for Multi-Decision Process”. International Journal of Neutrosophic Sciences, Vol 16, Issue 1, pp. 28-141, 2021, doi: https://doi.org/10.54216/IJNS.160103

[20]  Smarandache F., “Neutrosophy. Neutrosophic probability, set, and logic”. ProQuest Information and Learning[M]. Ann Arbor, Michigan, USA, 1998.

[21] Ali. M, Smarandache F., “Complex neutrosophic set”. Neural Comput & Applic 28, 1817–1834 (2017). https://doi.org/10.1007/s00521-015-2154-y

 [22] Singh P.K., “Complex neutrosophic concept lattice and its applications to Air quality analysis”, Chaos, Solitons and Fractals, Vol 109, pp. 206-213, 2018, https://www.sciencedirect.com/science/article/pii/S0960077918300948

[23] Singh. PK, “Data with Non-Euclidean Geometry and its Characterization”. Journal of Artificial Intelligence and Technology, 2021, DOI: 10.37965/jait.2021.12001

[24] https://leon-samec.medium.com/extended-eulers-formula-5e99cddf4b

Cite this Article as :
Prem Kumar Singh, Complex Plithogenic Set, International Journal of Neutrosophic Science, Vol. 18 , No. 1 , (2022) : 57-72 (Doi   :  https://doi.org/10.54216/IJNS.180106)