Volume 16 , Issue 2 , PP: 88-100, 2021 | Cite this article as | XML | Html | PDF | Full Length Article
Prem Kumar Singh 1 *
Doi: https://doi.org/10.54216/IJNS.160204
The precise analysis of uncertainty in given data sets and its mathematical representation is considered as one of the major issues at current time. The problem become more complex when the data sets contains several mutliattributes and its non-opposite sides. One of the suitable examples is cricket or sports data sets which create conflict among the experts in case of multi-decision process. The problem arises when the expert want to chategorize the performance of players based on its acceptation and rejection regions considering the contradiction. To deal with these types of data which contains human intuition in true and false regions intuitionistic Plithogenic set and its graphical visualization is introduced in this paper with an illustrative examples.
Graph Analytics , Intuitionistic fuzzy set , Knowledge representation , Plithogenic set , Plithogenic graph , Turiyam Set.
[1] Singh. PK, “Bipolarity in multi–way fuzzy context and its analysis using m–way granulation” Granular Computing, DOI 10.1007/s41066-021-00277-z, 2021.
[2] Singh. PK, “Cubic graph representation of concept lattice and its decomposition”. Evolving System, Springer, 2021, DOI:10.1007/s12530-021-09400-6,
[3] Smarandache F., “Plithogeny, Plithogenic Set, Logic, Probability, and Statistics”. In:Pons Publishing House, Brussels 2017.
[4] 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.
[5] Singh. PK, “Plithogenic set for multi-variable data analysis” International Journal of Neutrosophic Sciences, Vol. 1, Issue (2), pp. 81-89, 2020.
[6] 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.
[7] 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.
[8] Martin N., Smarandache F., “Introduction to Combined Plithogenic Hypersoft Sets”. Neutrosophic Sets and Systems, Vol. 35, pp. 503-510, 2020.
[9] 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.
[10] Priyadharsini S. P., Irudayam N., Smarandache F., “Plithogenic Cubic Set”. International Journal of Neutrosophic Sciences, Vol. 11, Issue (1), pp. 30-38, 2020.
[11] Singh. PK, “Fourth dimension data representation and its analysis using Turiyam Context.” Journal of Computer and Communications, Vol. 9, Issue 6, pp. 222-229, 2021. DOI: 10.4236/jcc.2021.96014
[12] Atanassov K. T., “Intuitionistic fuzzy sets” VII ITKR's Session, Sofia (deposited in CentralSci.-Technical Library of Bulg. Acad. of Sci., 1697/84), 1983 .
[13] Atanassov K. T., “Intuitionistic fuzzy sets”. Fuzzy Sets and Systems, Vol. 20, pp. 87-96, 1986.
[14] Singh. PK, “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.
[15] Martin N., Smaraandache F., “Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook”. Neutrosophic Sets and Systems, Vol. 33, pp. 78-91, 2020.
[16] Vasantha Kandasamy W.B., Ilanthenral K., Smarandache F., “Plithogenic graph”. Infinite study, Indo American book, 2020.
[17] Singh. PK, “Air Quanlity ndex 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
[18] Singh. PK, “Data with Turiyam Set for Fourth Dimension Quantum Information Processing”. Journal of Neutrosophic and Fuzzy Systems, Vol. 1, Issue 1, pp. 9-23, 2021. https://doi.org/10.54216/JNFS.010101