الفهرس 
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Abstract
Multiple criteria decision making problem (M-CDMP) is concerned with methods and procedures by which multiple criteria can be formally incorporated into the analytical process.
The (M-CDMP) arises in wide variety of problems, such as vector maximization , goal programming , group decision problems (with several criteria ), multi- attribute problems, and utility and theory of measurements. Vector optimization problems (VOP) or multiobjective optimization problems are one main branch of mathematical optimization. (VOP) appear when a decision maker must take a decision satisfying the optimization of more than one conflicting objectives.
Stability analysis in multiobjective nonlinear programming has been extensively investigated from the qualitative point of view . The stability notions are the sets of parameters that retain specific features for the optimal solutions of the multiobjective nonlinear programming problems.
This thesis consists of five chapters:
Chapter 1 presents a survey on Multiplecriteria decision making problems. Some different methods for dealing the problem, such as the goal programming approach , vector optimization problem and interactive approach are introduced Some definitions of fuzzy theory are presented.
Chapter 2 the concept of dual parametric problems is discussed to clarify the fruitful relation between the primal and dual problems. The discussion of the possibility solving one of them , where the second problem clearly solved,where parameters are in the objectives,are in the constrain,or in both .
Chapter 3 is devoted to Fuzzy parametric multiobjective nonlinear programming problem with fuzzy parameters in the objective functions, with fuzzy parameters in the constraints , and in both the objective functions and the constraints .
Chapter 4 presents an interactive approach for the three optimal selection problems where three decision makers (DMs) are involved in the selection of single offer from a pool of n offers.
Chapter 5 is devoted to the conclusions arrived in carrying out this thesis and some suggestions for further research are given.