Constructing Choquet integral-based operators that generalize weighted means and OWA operators
نویسندگان
چکیده
منابع مشابه
Constructing 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...
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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...
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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 کاملAn Analysis of Some Functions That Generalizes Weighted Means and OWA Operators
In this paper we analyze several classes of functions proposed in the literature to simultaneously generalize weighted means and OWA operators: WOWA operators, HWA operators and OWAWA 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 satisfying a condition imposed to mai...
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Let σ1,σ2, · · · ,σn be positive real numbers satisfying n ∑ i=1 σi = 1 and A1,A2, · · · ,An be positive operators. Let Mσ,γ(A) = ( n ∑ i=1 σiA γ i ) 1/γ, γ > 0. It has been shown that lim γ→0+ Mσ,γ exists. Some known inequalities have also been generalized.
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ژورنال
عنوان ژورنال: Information Fusion
سال: 2015
ISSN: 1566-2535
DOI: 10.1016/j.inffus.2014.06.003