3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022, Bucharest, Romania, 4 - 07 July 2022, vol.414, pp.249-261
The property of Tsallis q-entropy is introduced. The q-deformed logarithm produced by Tsallis q-entropy is examined. In this study, the summation and subtraction based on this entropy and logarithm are extended to the correlation coefficient type. Since a new deformed difference based on the statistical properties such as correlation coefficient and the M-estimation method exists, a new derivative and its corresponding integral can be proposed. The simulation study is performed to observe the results of the proposed algebras which are the summation and the subtraction.