MathLAB Journal

Level subsets and translations of QFST(G)

Abstract

Rasul Rasuli

First, we introduce level subsets and translations of QFST(G) and study their properties. Secondly, we prove that
union and intersection of two level subsets of QFST(G) are subgroup of G: Also we prove that translations of QFST(G)
are also QFST(G): Finally, we define fuzzy image and fuzzy pre-image of translations of QFST(G) under group
homomorphisms and anti group homomorphisms and investigate properties of them.