Generalizations of Weighted Means and OWA Operators by Using Unimodal Weighting Vectors
نویسندگان
چکیده
منابع مشابه
On generalizations of weighted means and OWA operators
In this paper we analyze two classes of functions proposed in the literature to simultaneously generalize weighted means and OWA operators: WOWA operators and HWA operators. Since, in some cases, the results provided by these operators may be questionable, we introduce functions that also generalize both operators and characterize those that satisfy a condition imposed to maintain the relations...
متن کاملDISA SEMINARI Generalizations of weighted means and OWA operators: an analysis and new proposals
Weighted means and ordered weighted averaging (OWA) operators are well-known functions widely used in aggregation processes. Although both are defined through weighting vectors, their behavior is quite different: The weighted means allow to weight each information source in relation to their reliability while OWA operators allow to weight the values according to their ordering. Nevertheless, th...
متن کاملAxiomatic generalizations of OWA operators
Axiomatic generalizations of OWA operators are introduces and discussed. First, OMA operators based on comonotone modularity are recalled. Then, several kinds of comonotone pseudoadditivity based OWA generalizations are characterized and exemplified. Some of already known OWA generalizations are thus seen from new points of view. In several cases an integral representation of generalized OWA op...
متن کاملDistance measures, weighted averages, OWA operators and Bonferroni means
The ordered weighted average (OWA) is an aggregation operator that provides a parameterized family of operators between the minimum and the maximum. This paper presents the OWA weighted average distance operator. The main advantage of this new approach is that it unifies the weighted Hamming distance and the OWA distance in the same formulation and considering the degree of importance that each...
متن کاملConstructing Choquet integral-based operators that generalize weighted means and OWA operators
In this paper we introduce the semi-uninorm based ordered weighted averaging (SUOWA) operators, a new class of aggregation functions that, as WOWA operators, simultaneously generalize weighted means and OWA operators. To do this we take into account that weighted means and OWA operators are particular cases of Choquet integral. So, SUOWA operators are Choquet integral-based operators where thei...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Fuzzy Systems
سال: 2020
ISSN: 1063-6706,1941-0034
DOI: 10.1109/tfuzz.2019.2928513