Distance measures on trapezoidal fuzzy multi-numbers and their applications to multi-criteria decision making methods

In this thesis, firstly, the concepts of fuzzy set, trapezoidal fuzzy number, trapezoidal fuzzy multi-number, intuitionistic fuzzy number and intuitionistic trapezoidal fuzzy multi-number are included. Arithmetic and geometric operations related to intuitionistic fuzzy multi numbers are included. Then, operations and properties related to trapezoidal fuzzy multi-numbers are examined. In Chapter 3, the similarity measure for intuitionistic trapezoidal fuzzy multi-numbers is studied. Hybrid, Cosinus, Jaccard, Dice distance measurements are examined for trapezoidal fuzzy multinumbers. In Chapter 4, these measures are applied to multi-criteria decision-making problems. Key Words: Fuzzy Set, Fuzzy Multi-Number, Intuitionistic Trapezoidal Fuzz Multi- Number.