Maxima and minima in fuzzified linear orderings

摘要

The paper studies the notions of fuzzy maxima, minima, suprema, and infima in the setting of fuzzified linear orderings. The main result shows that in fuzzified linear orders satisfying certain reasonable assumptions, the fuzzy maxima and minima of all non-empty fuzzy sets are non-empty. (C) 2015 Published by Elsevier B.V.