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arxiv: 1801.06060 · v1 · pith:ERLO4FJUnew · submitted 2018-01-16 · 🧮 math.GM

Flat ideals in the unit interval with the canonical fuzzy order

classification 🧮 math.GM
keywords fuzzycanonicalcharacterizationflatidealsintervalorderunit
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A characterization of flat ideals in the unit interval with the canonical fuzzy order is obtained with the help of the ordinal sum decomposition of continuous t-norms. This characterization will be useful in the study of topological and domain theoretic properties of fuzzy orders.

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