# Inlämning av Examensarbete / Submission of Thesis

Hussein Jaffal; Cheng Tao , pp. 57. ING/School of Engineering, 2011.

## The work

Url (don't fill in this field it is used to fool spam robots): Hussein Jaffal, Cheng Tao Multiple Attributes Group Decision Making by Type-2 Fuzzy Sets and Systems We are living in a world full of uncertainty and ambiguity. We usually ask ourselves questions that we are uncertain about their answers. Is it going to rain tomorrow? What will be the exchange rate of euro next month? Why, where and how should I invest? Type-1 Fuzzy sets are characterized by the membership function whose value for a given element x is said to be the grade of membership having a value in the interval [0, 1]. In addition, type-1 fuzzy sets have limited capabilities to deal with uncertainty. In our thesis, we study another concept of a fuzzy description of uncertainty which is called Type-2 fuzzy sets. According to this concept, for any given element x, we can’t speak of an unambiguously specified value of the membership function. Moreover, Type-2 fuzzy sets constitute a powerful tool for handling uncertainty. The aim of our thesis is to examine the potential of the Type-2 fuzzy sets especially in decision making. So, we present basic definitions concerning Type-2 fuzzy sets, and operations on these sets are to be discussed too. Then, Type-2 fuzzy relations and methods of transformation of Type-2 fuzzy sets will be introduced. Also, the theory of Type-2 Fuzzy sets will serve for the construction of the fuzzy inference system. Finally, we utilize interval type-2 fuzzy sets in the application of Multiple Attributes Group Decision Making which is called TOPSIS. Mathematics\Analysis type-1 fuzzy set, type-2 fuzzy set, operations, FOU, fuzzy relation, fuzzy system, TOPSIS, decision-making

## Publication info

Dokument id / Document id: Mathematical Modelling and Simulation 02/20/2011 Masterarbete/Master's Thesis (120 credits)

## Context

 Handledare / Supervisor: Elisabeth Rakus-Andersson Blekinge Institute of Technology ING/School of Engineering +46 455 38 50 00

## Files & Access

Bifogad uppsats fil(er) / Files attached: masters thesis by hussein jaffal & cheng tao.pdf (910 kB, öppnas i nytt fönster)