I just started studying fuzzy sets. In the context of fuzzy numbers, I saw the arithmetic operations are defined with respect to alpha-cut (For example see this paper). But I don't know why alpha-cut is so important for such operations and why it is implied a lot? For example, isn't it possible to define these operations without using alpha-cut?
2026-03-25 07:40:46.1774424446
Why do we use alpha-cut for arithmetic operations with fuzzy numbers?
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