Article ID Journal Published Year Pages File Type
389819 Fuzzy Sets and Systems 2011 16 Pages PDF
Abstract

For crisp relations the concept of a semi-order can be stated in a number of equivalent ways. When trying to extend this concept to the fuzzy setting, we observe that the (generalized) definitions fail to be equivalent. In this contribution, we discuss which is the most natural definition of a fuzzy semi-order, and study the hierarchy among the alternative definitions, in particular when using a t-norm without zero divisors.

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Physical Sciences and Engineering Computer Science Artificial Intelligence