Choosing optimum values from a matrix

Lets say I have a matrix A. The matrix contains m rows and n columns. Now for each row, some of the columns are filled with numbers and the rest are just NaN. The numbers which are filled for each row, out of all those only a single one is the right candidate. The rows here actually indicate the time of the day and columns represent the possible values of a parameter for each of the row. A known relationship exists between the time of the day and that value of the parameter. As I said not all the values in each row are the right values of that parameter. One way could be to choose different combinations of that parameter among the rows and as a known relationship exist between the value of the parameter and the time of the day, an optimum choice can be made. Can anyone here help me how to code this thing in Matlab?

[Azzi Abdelmalek]

How are we supposed to know what is the optimum? To make your question clear, post a short example (4 rows for example) and explain clearly what you want, define what optimum means for your problem