Vector Optimization And Its Engineering Applications

Vector optimization techniques are considered one of the mostimportant techniques in solving multi criteria optimization problems.Several classical techniques are used to solve these optimizationproblems. Through this work we introduce ”Fuzzy Decision SupportExpert System” (FDSES) as a new technique which will be used to solvethese types of problems. This thesis is mainly classified into six chaptersas follows:Chapter one:In this chapter, the introduction and the literature survey are introduced.Rinks and Turksen fuzzy techniques are also introduced as a prior studiesin this field.Chapter two:This chapter is devoted to display fuzzy relations and fuzzy theory. Themain operations and items in the fuzzy environment are also reviewed inthis chapter.Chapter three:Through this chapter we introduce the Aggregate production planning(APP) , workforce and inventory levels. The decision techniques,mathematical optimization techniques, graphical techniques and lineardecision rule (LDR) are also presented. Aggregate production planningand classical methods were used in solving it, such as, traditionalmethodologies, optimal solution techniques and Near-optimal solutiontechniques are also presented in the this chapter.