An algorithm is basically term vital part of operations research methodology. There are many algorithms related to sorting, basically it is the operation of logically arrangement of records or elements and it can be used for the numerically data or alphabetically data. Sorting operation implemented in the data structure to make efficient searching of elements. The sorting algorithm, having the swap, comparison and assignment operations related to the direct complexity of an algorithm. In proposed sorting algorithms the authors used strategy of selection of the elements i.e. they have the functions called as MinOddFunction (collect the minimum odd value of list) and MinEvenFunction (collect the minimum even valued from list).