Comparison of Two Versions of the Ferrers Property of Fuzzy Interval Orders
نویسندگان
چکیده
We focus on the Ferrers property of fuzzy preference relations. We study the connection between the Ferrers property and fuzzy interval orders. A crisp total interval order is characterized by the Ferrers property of its strict preference relation. Also, a crisp preference structure is a total interval order if and only if its large preference relation satisfies the Ferrers property. For fuzzy relations the Ferrers property admits two non equivalent expressions. Here we compare both conditions by means of completeness. We also study if they characterize a fuzzy total interval order. Keywords—completeness, Ferrers property, partial interval order, total interval order, fuzzy relation
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