Plithogenic set for multi-variable data analysis

he 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.

Doi :10.5281/zenodo.3689808 82 sports data sets which contain many types of opposite, non--opposite, neutral side for the given match. Same time the behavior of the crowd, address of any person contains many types of dynamics. This type of data set and its representation is called as ``Plithogenic set'' by Smarandache in 2017 [6][7]. One of the suitable examples is student CGPA is based on more than several papers performance. For example, a faculty says "The student (x1) is intelligent". This proposition is statement can be based on more than three or four subject performance according to the experts as: Science (whose attribute values are: mathematics, physics, anatomy), Literature (whose attribute values are: poetry, novel), and Arts (whose only attribute value is: sculpture).
Nowadays online TV channel pack is based on multi-valued different types of attributes and customers select the particular group which fulfills the requirement. In these cases, difficult for the users to select the subscribe the particular pack for the given channel. To resolve this issue current paper focuses on plithogenic set, its uses and applications is discussed for better understanding.
The Plitho--geny word coined from: crowd, a large number of events, to be blended or mixed together. It means the plithogeny may utilize as genesis or formation, development of many static or dynamic attributes at the same time. In this way plithogeny set contains contradictory, neutrals, non-contradictory multi-valuedd attributes to represent the particular event or knowledge. Hence it is hybrid of many opposites, neutrals and non-opposites attributes connected or non--connected to represent the particular concept. A continuum process of merging, and splitting, or integration and disintegration as happened in chemistry, opinion mining, social synchrony. Same time the psychological view that conscious, unconscious, Aconscious, Optimism, Pesimism is plithogenic view that used to change several times based on our degree of perception. One of the suitable examples is win, loss and draw of any matches fluctuate several times for the same match. The precise representation of this data set is one of the crucial tasks for the researchers when this large number of dynamic data generated at each moment which can be done using plithogeny set. To achieve this goal, the current paper focuses on dealing with these types of multi--attributes and its algebra for further applications in knowledge processing tasks. One of the suitable examples is the performance of a cricket player is based on plithogenic set which increases several times, decrease several time and may consistent. It is difficult to measure the performance of a player for the selectors at a given phase of time. To deal with these types of issues current paper works on plithogenic set and its properties.
Other parts are composed as follows: Section 2 contains preliminaries about neutrosophic set to measure the linguistics. Section 3 contains introduction of plithogenic set and its graphical applications. Section 4 contains conclusions and references. There is no restriction on the sum of ( ), ( ) and ( ).

Linguistic neutrosophic set.
A single valued neutrosophic linguistic set A (abbr. SVNLS)in can bedefined as x express, respectively, the degree of truth -membership, the degree of indeterminacy -membership and the degree of falsehood -membership. Of the element x in belonging to the linguistic term     , In this process the author address that there are several attributes which changes several times in opposites, neutral and non-opposites side. One of the best suitable example is a cricket match which changes several times. The precise analysis of these types of uncertainty in multi-valued attributes. The current paper focused on utilizing the properties of plithogenic set in the next sextion.

Plithogenic Set
Let be a universe of discourse, P be a subset of this universe of discourse, "a" be a multi- A plithogenic set is a set P whose each element x is characterized by many attribute values.  intersections can be used as fuzzy operators' t-norm and t-conorm. The current paper tried to illustrate these two operators using an illustrative example.

Illustration
Plithogenic set is an extension of the classical set, fuzzy set, intuitionistic fuzzy set, and neutrosophic set, since in all these four types of sets a generic element x is characterized by one attribute only (appurtenance), which has one single attribute value (membership -in classical and fuzzy sets), two attribute values (membership and nonmembership -in intuitionistic fuzzy set), and three attribute values (membership, indeterminacy, and nonmembership -in neutrosophic set).  The problem arises with selectors to choose a particular player which can perform as per Virat Kohli and Rohit Sharma. In this case finding the minimum level and maximum level data is one of the major issues for the selection committee. To resolve this issue the current paper utilizes min and max of t-norms and t conforms operators in plithogenic set.
Case (i) The selection committee first try to get one of the suitable batsman who have perform maximum level in each format as per record of Virat Kohli or Rohit Sharma in this case intersection operator i.e. t-co-norms will provide as shown in Table 3. The Table 3 represents that, a batsman has faced more than 9000 balls with 50 average in each format having strike rate more than 60 can be selected.
In case this data is more higher level and none of candidate can be selected. In this case the selection committee need a minimum level data which predict the common performance of Virat Kohli and Rohit Sharma. It will be minimum to select a batsman and later groomed. To achieve this goal, the t-norm can be utilized in plithogenic set shown in Table 4. The Table 4 represents that, a batsman played more than 90 match in First Class with 7000 Runs and 50 average can be selected who can later perform in Test and One day as per Virat and Rohit Sharma.
It can be observed that, the current paper provides a solution to deal with multi-valued attributes.
However the current paper does not focus on dominant attributes in the plithogenic set which affect the decision.
The current paper shows that set of multi-valued and different types of data set can be done using plithogenic set and its operator. It can be observed that in above-given data sets Virat Kohli performance oversees the Rohit sharma on some entries, on some entries they are equal whereas some entries it is less. These data can fluctuate or change in opposite, neutral and nonopposite direction. These types of data sets can be handled by plithogenic set and its operations.
Same time plithogenic set provides different levels to set the parameters for selection based on expert requirements rather than single-valued. In future, author work will focus on introducing a new graphical structure for the visualization of plithogeny set.

Conclusions:
In this paper, the author provides an initial way to establish plithogenic set with an example. It will helpful for the researchers of data analysis and neutrosophic researchers to deal with uncertainty in multi-valued attributes.