Sınırlı kafesler üzerinde üçgensel normları (konormları) inşa etmek için bazı yeni metotları

In this thesis, we aim to give some new methods to construct triangular norms (conorms) on bounded lattice and reveal the relation with the construction methods in the literature. This study consists of two chapters. The results will be used in this thesis are given in the first chapter. The second chapter is consisted of four sub-sections. In the first section, two new construction methods for t-norms are given. These methods are obtained by exploiting the existence of the smallest element of 𝐿 ∖ {0} and a t-norm on subinterval [𝑎, 𝑏] of 𝐿 and these methods are exemplified. In addition, examples are presented to highlight the importance of constraints. Moreover, it is shown with examples that the introduced construction methods are different from the existing construction methods. In the second sub-section, two new construction methods for t-conorms are given. These methods are obtained by exploiting the existence of the greatest element of 𝐿 ∖ {1} and a t-conorm on subinterval [𝑎, 𝑏] of 𝐿. In the third section, the modified ordinal sum constructions for the introduced t-norm constructions are obtained and the applications of these constructions are shown with examples. In the last section, the modified ordinal sum constructions for the introduced t-conorm constructions are obtained.