We deal with an extension of ordered weighted averaging (OWA, for short) operators to the set of all normal convex fuzzy sets in [0, 1]. The main obstacle to achieve this goal is the non-existence of a linear order for fuzzy sets. Three ways of dealingwith the lack of a linear order on some set and defining OWA operators on the setappeared in the recent literature. We adapt the three approaches for the set of allnormal convex fuzzy sets in [0, 1] and study their properties. It is shown that each ofthe three approaches leads to an operator with desired algebraic properties, and two ofthem are also linear.
@article{490,
title = {Three ways of defining OWA operator on the set of all normal convex fuzzy sets},
journal = {Tatra Mountains Mathematical Publications},
volume = {70},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/490}
}
Takáč, Zdenko. Three ways of defining OWA operator on the set of all normal convex fuzzy sets. Tatra Mountains Mathematical Publications, Tome 70 (2018) . http://gdmltest.u-ga.fr/item/490/