Abstract
The difference poset of real-valued functions (fuzzy sets) is investigated. The difference posets on some subsets of the unit real interval [0, 1] are characterized. It is shown that although it is not always possible to represent the difference by some generator, for dense subsets such a representation exists and is unique.
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Mesiar, R., Pap, E. Extensions of real-valued difference posets. Int J Theor Phys 33, 2317–2323 (1994). https://doi.org/10.1007/BF00673959
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DOI: https://doi.org/10.1007/BF00673959