Fuzzy numbers are the only fuzzy sets that keep invertible operations invertible

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Fuzzy numbers are the only fuzzy sets that keep invertible operations invertible

In standard arithmetic, if we, e.g., accidentally add a wrong number y to the preliminary result x, we can undo this operation by subtracting y from the result x+ y. In this paper, we prove the following two results: • First, a similar possibility to invert (undo) addition holds for fuzzy numbers (although in case of fuzzy numbers, we cannot simply undo addition by subtracting y from the sum). ...

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ژورنال

عنوان ژورنال: Fuzzy Sets and Systems

سال: 1997

ISSN: 0165-0114

DOI: 10.1016/s0165-0114(97)00137-1