الفهرس 
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Abstract
Decision making plays an important role of our life. Most decision problems can be formulated or reformulated as Multi-Objective Decision Making (MODM) models. Examples of such models include problems of project appraisal, planning production, optimal shape design, many types of engineering situations and etc. When models involve continuous variables, we talk about multi-objective optimization. Many phenomena can be reliably described using nonlinear models. Therefore, developing methods and tools for solving nonlinear multi-objective optimization problems are very important. Some basic properties have to be taken into account when solving multi-objective optimization problems. The most important property is that these problems are mathematically ill-defined. This means that they have a set of mathematically ‘equally good’ optimal solutions in the objective function space, so-called, nondominated solutions. Therefore, some additional information is needed in order to be able to select one of them. A decision maker (DM) has an important role in specifying preference information in the solution process. We can typically distinguish between two different phases of the solution process: a computation phase and a dialog phase between the algorithm and the DM. One or several solutions are generated in the phase of computation. Often, this is done using a single objective optimization problem, a so-called scalarizing problem. The DM evaluates the current solution(s) and possibly additional information and sets his preferences in the phase of a dialog. MODM has however, two distinct halves. One is multi-attribute decision analysis and the other one is multi-criteria optimization (multiple objective mathematical programming). Multi-attribute decision analysis is mostly often applicable to problem with a small number of alternatives in an environment of uncertainty. Multiple criteria optimization is mostly often applied to deterministic problems in which the number of feasible alternatives is large. Whereas multi-attribute decision analysis has been most applicable in resolving difficult public policy problems (nuclear power plant sitting, location of airport, type of drug rehabilitation program), multiple criteria optimization is more useful with less controversial problems in business and government such as determining reservoir release policies.
This work mainly has the following aspects:
1. Interactive multi-objective Decision Making MODM Problems with the parametric study.
2. Interactive multi-objective decision making with fuzzy parameters.
3. Interactive Parametric multi-objective decision making with fuzzy parameters.
4. Interactive dose intensity to determine the best dose distribution of radiation field.