Monotonicity, Boundedness, and Convergence for Sequences of Fuzzy Numbers

Abstract

We present the concepts of ideal monotonicity and ideal boundedness in the context of sequences involving fuzzy numbers. Additionally, we formulate an equivalent to the monotone convergence theorem and provide the necessary proofs for decomposition theorems specifically designed for this category of sequences. Our exploration extends to the analysis of I ∗ -convergent sequences of fuzzy numbers, concluding with the demonstration that these sequences have a unique limit point.