Multi-fuzzy sequences in metric spaces
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This paper introduces the concept of multi-fuzzy sequences and studies convergence within a metric space. It presents key definitions and illustrative examples, particularly focusing on the convergence of multi-fuzzy sequences, multi-fuzzy bounded sequences and multi-fuzzy Cauchy sequences. Theorems are provided to establish properties related to the uniqueness of limits and the relationships between boundedness and convergence. Furthermore, the theorems and results demonstrate connections among crisp sequences, multi-fuzzy sequences and multi-fuzzy Cauchy sequences. This article lays the groundwork for understanding the behaviour and properties of multi-fuzzy sequences.
Abstract
This paper introduces the concept of multi-fuzzy sequences and studies convergence within a metric space. It presents key definitions and illustrative examples, particularly focusing on the convergence of multi-fuzzy sequences, multi-fuzzy bounded sequences and multi-fuzzy Cauchy sequences. Theorems are provided to establish properties related to the uniqueness of limits and the relationships between boundedness and convergence. Furthermore, the theorems and results demonstrate connections among crisp sequences, multi-fuzzy sequences and multi-fuzzy Cauchy sequences. This article lays the groundwork for understanding the behaviour and properties of multi-fuzzy sequences.
참고문헌 (24)
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