Affiliations: [a] Department of Mathematics, University College of Engineering, Panruti(A Constituent College of Anna University, Chennai), Panruti, Tamilnadu, India | [b] Department of Mathematics, MEASI Academy of Architecture, Chennai, Tamilnadu, India
Correspondence:
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Corresponding authors. Srinivasan Vijayabalaji, Department of Mathematics, University College of Engineering, Panruti(A Constituent College of Anna University, Chennai), Panruti-607106, Tamilnadu, India. E-mail: [email protected].
Abstract: In 1982, Pawlak set up a fresh approach to deal with uncertainties namely rough set theory, Multiple-Criteria Decision Making (MCDM) first traced by Benjamin Franklin in 17th century. Several researchers did significant contribution to MCDM thereafter. An assignment problem involves what happens to the effective function when each of a number of sources is associated with the same number of destinations. Using MCDM, Rough matrices and Assignment model we are inducing an idea to pick Best’11 in all three formats (Test, One Day Internationals (ODI), Twenty20 International matches (T20I)) in the game of cricket with players from two nationals. Using the existing data, we are providing best batting position for any player to maximize team’s run. In addition, based on the preprocessing of informations, we are bringing some new indices to pick Indian squad for the 2019 World Cup cricket held in England from May 2019 to July 2019. After making a selection from our framework, we will compare the list of selected players by Board of Cricket Control Board in India (BCCI) and giveaway the percentage of similarity between the our selection against BCCI’s selection. We pick 11 players after selecting 15 players from 24 players to formulate the assignment model and offer the best batting order to optimize team’s run.
Keywords: Rough set, rough matrix, information systems, MCDM, best’11, assignment problem
