Generalized Interval-valued OWA Operators with Interval Weights Derived from Interval-valued Overlap Functions

In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some properties of intervalvalued overlap functions and the derived interval-valued OWA operators are analysed. We specially focus on the homogeneity and migrativity properties. Keywords Interval-valued fuzzy sets interval-valued overlap functions Interval-valued overlap OWA operators interval weighted vector migrativity homogeneity 1 Introduction Interval-valued fuzzy sets [62] have been succesfully applied in many different problems. Just to mention some of the most recent ones, interval-valued fuzzy sets have been used in decision making(see, e.g., theworksbyKhalilandHassan[36]andChengetal. They have also been the origin of rich theoretical studies, as, for instance, the works by Bedregal et al. [3, 7], Dimuro et al. [28], Reiser et al. [48] and the recent works by Zywica et al. [64] and Takác [55]. From the point of view of applications, interval-valued fuzzy sets are a suitable tool to represent uncertain or incomplete information. In particular, the length of the intervalvalued membership degree of a given element can be understood as a measure of the lack of certainty of the expert for providing an exact membership value to that element [44].