Fuzzy numerical semigroups

In this thesis, fuzzy numerical semigroups were studied. In order to prove and understand the existence of this concept, first of all, the fuzzy ideal concepts in semigroups, numerical semigroups and semigroups, their properties and subheadings such as Pseudo-Frobenius numbers, Frobenius number, Arf numerical semigroups are mentioned. Then, "indefinite numerical semigroups" were tried to be defined by making use of the indefinite groups, which have a great place in the Fuzzy Topology, and the numerical semigroups, which are the important application areas of the Algebra department. The aim of this study is to briefly explain the concepts of semigroups, numerical semigroups and fuzzy ideals in semigroups, respectively, to give the necessary preliminary information for the concept of fuzzy numeric semigroups, to define fuzzy numeric semigroups, to obtain some properties, to exempfly, and to create a pre-information resource for researchers who want to work in this field.