Fuzzy and Fuzzy Soft Structure in Algebra

Recently, non-classical methods are being used in many areas. Fuzzy sets, rough sets,soft sets and so on are among these methods. In this study, fuzzy and fuzzy soft structures are defined in algebra and some investigations of these are given. In fuzzy algebra, since there is not exist an exact sequence of homology modules it is hard to use the methods of homology algebra. However, by obtaining exact sequence under some conditions we proved the universial coefficient theorem.