الفهرس 
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Abstract
This thesis presents a fuzzy version for evaluating the reliability of complex Engineering systems. In the proposed algorithm, fuzzy set theory is used to evaluate the coefficients of different terms in reliability expression. The coefficients of the reliability expression are composed of system tie/cut sets and line capacities. The proposed algorithm has made it possible to online system security assessment depends on the system history and past experience. The entire logic of the algorithm numerical examples is explained in detail and verified through
Most technical fields, including all those in engineering, involve some form of optimization that is required in the process of design, the quest is to find the ”best” solution according to some criterion.
In fact, almost any optimization process involves trade-off between costs and benefits, because finding optimum solutions is analogous to create designs. There ca~ be many solutions, but only a few might be optimum, or useful so that the general form of optimization is to find the most optimum solution from a family of reasonable solutions according to an optimization, criterion.
The concept of reliability apportionment is general and has even been, applied to the allocation of man-machine reliability. Typically, however, the process of optimally apportioning individual component reliability to meet some desired system reliability level subject, perhaps, to constraints on cost, volume, weight, etc, has always been imprecise and vague at best. In real problems, the resource constraints are no more sacred than the objective system reliability; they are frequently flexible.