Techniques to Restrict an Interval of a Lower Bound in Fuzzy Scheduling Problems
Nasyar Hussein Qader, Rzgar F. Mahmood, Mediya Bawakhan Mrakhan, Ayad Mohammad Ramadan · IRAQI JOURNAL OF STATISTICAL SCIENCES · 2023
In this paper, a fuzzy scheduling problem with triangular fuzzy numbers for processing times and due dates is provided. Each of the n operations is to be performed on a single machine without interruption and then becomes ready for processing at time zero. We generalized some ideas by giving a definition and a theorem to find a relation between the fuzzy lower bound and the fuzzy optimal solution for a problem with number of efficient solutions that minimizes total fuzzy completion time and maximum fuzzy tardiness. Also the results show how to choose the best defuzzification method in fuzzy scheduling