Fuzzifying ideal convergence in fuzzifying topological linear spaces

In this study, we propose a framework for fuzzifying ideal convergence in fuzzifying topological linear spaces. After defining fuzzifying ideal convergence, we discuss many properties of fuzzifying ideal convergence in fuzzifying topological linear spaces. We also introduce a stronger convergence than fuzzifying ideal convergence, and a sufficient condition (called (AP) fuzzifying condition) under which fuzzifying ideal convergence implies the stronger convergence above is proved.