Fuzzy Set Theory Essay

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CHAPTER 1

INTRODUCTION

Chapter 1 discusses the research background of this thesis. The aim of this chapter is to give a clear explanation and understanding to the author before starting develops the methods. The introduction of fuzzy sets is described, especially interval type-2 fuzzy sets, known as the main point of this research. Thereafter, it is followed by the review of fuzzy sets in Multi Criteria Decision Making (MCDM) problems and Simple Additive Weighting (SAW) method. In fact, SAW is one of the techniques in solving MCDM problems. Apart from that, the problem statements, objectives of the research, scope and limitations, significance of the research, conceptual framework, related research of SAW and fuzzy SAW and organization of the research are needed to complete this thesis. Specifically, the mentioned points are elaborated in this chapter.

1.1 Research Background
Fuzzy set theory (FST) is an extension of classical set theory. It is developed by Zadeh on 1965. He proposed that the key elements in human thinking are not numbers but labels as fuzzy sets. Fuzzy set is a class of objects with a continuum of grades of …show more content…

First stage is about the rating process where the decision makers evaluate the alternatives with respect to criteria and the weights of each criterion. Second phase discusses the calculation weights for criteria. The last phase, which is the third, is about the implementation of the proposed methods in a case study of ambulance location selection. The details of the phases are in Chapter 3 and Chapter 4. There are some limitations implied in this study. Many factors are neglected such as patients’ conditions and patients’ seriousness of injuries. Other factors such as traffics and weather are also neglected. All traffic lights are assumed green, smooth and no busyness at all times, meanwhile, weather is in good condition at every

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