M.Sc.

This thesis developed three defuzzification approaches to convert the coefficients and the variables of the fuzzy linear programming problems (FLPP) into crisp (deterministic) linear programming problems (CLPP) and obtain the critical path with the optimal completion time for the different fuzzy network problems.The three defuzzification approaches are based respectively on the philosophies of probability density function, ranking measures and the program evaluation and review technique (PERT).Finally, the critical path method (CPM) has been used to compare its

The main theme of this thesis is oriented about two objects:

Stochastic and random integral equations are of great importance that may be used in modeling certain type of problems that contains random process and noise. Therefore, the main objectives of this thesis may be oriented as follows:  The first objective is to study the theoretical side of stochastic calculus and stochastic processes, which include the basic definitions and fundamental concepts related to this topic, such as stochastic processes,stochastic differentiation and stochastic integration the existence and uniqueness theorem.