Abstract:
The aim of this project, we introduce a new algebraic structure, called UP-algebra (UP
means the University of Phayao) and a concept of UP-ideals, UP-sub algebras and UP-filters
of UP-algebra and then we introduce and study fuzzy UP-sub algebras, fuzzy UP-ideals and
fuzzy UP-filters of UP-algebras and investigate some of its properties. The notions of upper t-
level subsets and lower t- level subsets are introduced from some fuzzy sets, and its
characterizations are given.
Keywords: UP-algebra, UP-sub algebras, UP-ideals , UP-filters, Fuzzy UP-sub algebra,
Fuzzy UP-ideal, Fuzzy UP-filter, Upper t- level subset, Lower t- level subset, prime subsets,
prime fuzzy sets.