الفهرس 
Title : On multilevel programming problems
ContantsOnly 14 pages are availabe for public view
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Abstract
Multilevel optimization problems (MLOPs) is mathematical programs which have a subset of their decision variables constrained to be an optimal solution of other programs parameterized by their remaining decision variables. It{u2019}s implicitly determined by a nested series of optimization problems. MLOPs must be solved in a hierarchical sequence (Kassa et al., 2013 (In many real-world problems decisions have been made in a hierarchical order. Individual decision makers have no direct control upon the decisions of the other programs, but their actions affect all other decision makers. Further, higher levels (or leaders) of the MLOPs have the power to strongly influence the performance and strategies of the decision makers at lower levels (or followers) (Kassa et al., 2013). Multi-level decision making programs are used for representing many hierarchical order in real world strategic, planning, and management such as; financial control, economic analysis, facility location, government regulation, organizational management, conflict resolution, network design, traffic assignment, signal optimization, planning for resource management, defense, transportation, central economic planning at the regional or national level to create model problems concerning organizational design (Osman et al., 2013). Chapter one presents Introduction. Chapter two presents classification of multi-level programming problems based on the structural complexity and based on the approach of the solution methods and the concepts of fuzzy programming with the fuzzy set theory is presente