TY - JOUR AU - Iampan, Aiyared PY - 2017/12/24 Y2 - 2024/03/29 TI - Fuzzy Translations of A Fuzzy Set in UP-Algebras JF - Journal of the Indonesian Mathematical Society JA - JIMS VL - 23 IS - 2 SE - Articles DO - 10.22342/jims.23.2.371.1-19 UR - http://jims-a.org/index.php/jimsa/article/view/371 SP - 1-19 AB - In this paper, we apply the concept of fuzzy translations of a fuzzy set to UP-algebras.For any fuzzy set $\mu$ in a UP-algebra,the concepts of fuzzy $\alpha$-translations of $\mu$ of type \textrm{I} and of fuzzy $\beta$-translations of $\mu$ of type \textrm{II} are introduced, their basic properties are investigated and some useful examples are discussed.The concepts of prime fuzzy sets and of weakly prime fuzzy sets in UP-algebras are also studied.Moreover, we discuss the concepts of extensions and of intensions of a fuzzy set in UP-algebras. ER -