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I have a Project made up of tasks. Each task has an estimated completion percentage.

I realise I could treat each tasks completion percentage as a representation of the degree of membership to the fuzzy set "complete tasks" and the incomplete percentage as the degree of memebership to the fuzzy set of "incomplete tasks"

e.g

complete {T1 .80, T2 .73, T3 .0, T4 1.0}

incomplete {T1 .20, T2 .23, T3 1.0, T4 .0}

How would I calculate the degree to which all tasks are complete (sum of all tasks = project so the project completeness) ? ?

Would this be the same as the average task completion e.g. sum(completion) / number of tasks?

N.B not strictly homework, I'm writing the program that handles the projects for an assignment and want to make sure the logic I code is correct.

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In the complete tasks, what does T1 .80 mean? –  Emmad Kareem Nov 16 '11 at 4:15
    
Sorry. T represented the task, so task 1, task 2 etc, and the decimal representing the degree of membership to that fuzzy set –  Luke Nov 16 '11 at 6:57
    
Isn't the degree to which the task is complete = the percentage of work done so far in task? Say I did 60% of the program, that is the same as the task is 60% complete? –  Emmad Kareem Nov 16 '11 at 8:21
    
Thats correct, I'm interested in finding out how complete the whole project is. I'm also curious as to whether this would be the same as average completeion of a task or not. –  Luke Nov 16 '11 at 12:42
    
if the degree to which the task is complete = the percentage of work done, then your tasks in the complete set should be: T1.100, T2.100,etc. –  Emmad Kareem Nov 16 '11 at 21:45
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1 Answer

up vote 0 down vote accepted

I'd like to know if this is the same as the average task completion Yes, it would be if:

1-The sum of tasks cover the entire project activities in other words, Project = Task1 and Task2 and .... and TaskN

2-The average completion, based on the completion % of each task, is valid indicator only if (1) is true and if all the task have equal weight, otherwise the average may not show the truth.

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1- True. I should have explained this better 2- Yes in this case true so accepted :) can you point me in the direction of where I could learn about introducing a weighting to the tasks and the impact this would have, I think the only real weighting I could introduce in this particular case would be a priority to each task, meaning higher priority tasks would have a greater weighting towards project completion than those with lower priorities. –  Luke Nov 18 '11 at 13:39
    
Thanks for your comment. Your suggestion of priority may be OK (it depends on your choice). Please check this link it might have some value: mofeel.net/894-microsoft-public-project/18871.aspx –  Emmad Kareem Nov 18 '11 at 16:32
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