483 228
Full Length Article
Volume 1 , Issue 2, PP: 81-89 , 2020

Title

Plithogenic set for multi-variable data analysis

Authors Names :   Prem Kumar Singh   1 *  

1  Affiliation :  Amity Institute of Information Technology and Engineering, Amity University, Noida 201313-Uttar Pradesh, India

    Email :  premsingh.csjm@gmail.com



Doi   :  10.5281/zenodo.3689808


Abstract :

The m-polar and multi-dimensional data sets given a platform to deal with multi--valued attributes. In this case, a problem addressed that sometimes the attributes may contain many types of opposites, non--opposites and neutrals values as for example Rainbow. One of the best examples is sports data sets where each time the value of an attribute changes several time towards the given team, the opposition of the given team as well as draw conditions. The precise representation of these types of data sets and their mathematical analysis are crucial tasks for the research communities. The current paper tried to develop new mathematical set theories for precise representation and analysis of sports data via plithogenic set and its mathematical algebra.

Keywords :

Plithogenic data , multi-valued data , Neutrosophic set , Knowledge representation

References :

[1] Florentin S (1998). Neutrosophy. Neutrosophic probability, set, and logic. ProQuest Information and Learning[M]. Ann Arbor, Michigan, USA, 1998

[2] L. A. Zadeh (1965). Fuzzy sets. Information and Control, 8, 338-353

[3] Prem Kumar Singh (2017), Three-way fuzzy concept lattice representation using neutrosophic set, International Journal of Machine Learning and Cybernetics,  8(1), 69-79

[4] Prem Kumar Singh (2018) Three-way n-valued neutrosophic concept lattice at different granulation, International Journal of Machine Learning and Cybernetics, 9(11), 1839-1855

[5] Prem Kumar Singh, Multi–granular based n–valued neutrosophic contexts analysis,  Granular Computing, Springer 2019, DOI: 10.1007/s41066-019-00160-y

[5] Prem Kumar Singh (2019). Multi-granular based n-valued neutrosophic context analysis. Granular Computing (2019), DOI: 10.1007/s41066-019-00160-y

[6] Florentin Smarandache, Plithogeny, Plithogenic Set, Logic, Probability, and Statistics, in Pons Publishing House, Brussels 2017.

[7] Florentin Smarandache (2018). Extension of Soft Set to hyperSoft Set, and then to Plithogenic Hypersoft set. Neutrosophic Set and System 22, 168-170. 

[8] https://www.espncricinfo.com/