Results 161 to 170 of about 498,073 (201)
A class of aggregation functions encompassing two-dimensional OWA operators
In this paper we prove that, under suitable conditions, Atanassov’s Ka operators, which act on intervals, provide the same numerical results as OWA operators of dimension two. On one hand, this allows us to recover OWA operators from Ka operators. On the
Javier Montero, Humberto Bustince
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International Journal of Approximate Reasoning, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vikas Srivastava, Amit K. Singh
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Vikas Srivastava, Amit K. Singh
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On the Comparisons of OWA Operators and Ordinal OWA Operators
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1997In this paper, comparisons of OWA operators and ordinal OWA operators are carried out by using lattice theoretic methods. It is proved first that in both cases, the set of all aggregation operators forms a lattice, then the concept of positive valuation is used to measure the "orness" of aggregation operators and the structures of all such possible ...
Taihe Fan, Dan A. Ralescu
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Constructing Choquet integral-based operators that generalize weighted means and OWA operators [PDF]
Producción CientíficaIn 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.
Bonifacio Llamazares
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IEEE Transactions on Fuzzy Systems, 2015
A critical issue when selecting an ordered weighted aggregation (OWA) operator is the determination of the associated weights. For this reason, numerous weight generating methods have appeared in the literature. In this paper, a generalization of the binomial OWA operator on the basis of the Stancu polynomial is proposed and analyzed.
Amit K. Singh +2 more
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A critical issue when selecting an ordered weighted aggregation (OWA) operator is the determination of the associated weights. For this reason, numerous weight generating methods have appeared in the literature. In this paper, a generalization of the binomial OWA operator on the basis of the Stancu polynomial is proposed and analyzed.
Amit K. Singh +2 more
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International Journal of Intelligent Systems, 2002
Summary: The Ordered Weighted Averaging (OWA) operator was introduced by Yager to provide a method for aggregating several inputs that lie between the max and min operators. In this article, we investigate the uncertain OWA operator in which the associated weighting parameters cannot be specified, but value ranges can be obtained and each input ...
Zeshui Xu, Qingli Da
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Summary: The Ordered Weighted Averaging (OWA) operator was introduced by Yager to provide a method for aggregating several inputs that lie between the max and min operators. In this article, we investigate the uncertain OWA operator in which the associated weighting parameters cannot be specified, but value ranges can be obtained and each input ...
Zeshui Xu, Qingli Da
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OWA operators with functional weights
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jesús Medina 0001, Ronald R. Yager
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International Journal of Intelligent Systems, 1999
Summary: The Ordered Weighting Averaging (OWA) Operator of Yager was introduced to provide a method for nonlinearly aggregating a set of input arguments \(a_i\). A fundamental aspect of the OWA operator is a reordering step in which the input arguments are rearranged according to their values. Recently, a generalized OWA operator was described in which
Paul A. Schaefer, H. B. Mitchell
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Summary: The Ordered Weighting Averaging (OWA) Operator of Yager was introduced to provide a method for nonlinearly aggregating a set of input arguments \(a_i\). A fundamental aspect of the OWA operator is a reordering step in which the input arguments are rearranged according to their values. Recently, a generalized OWA operator was described in which
Paul A. Schaefer, H. B. Mitchell
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IEEE Transactions on Fuzzy Systems, 2018
Inspired by the real needs of group decision problems, aggregation of ordered weighted averaging (OWA) operators is studied and discussed. Our results can be applied for data acting on any real interval, such as the standard scales $[0,1]$ and $[0,\infty [$ , bipolar scales $[-1,1]$ and $\mathbb {R}=]-\infty, \infty [$ , etc.
Radko Mesiar +3 more
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Inspired by the real needs of group decision problems, aggregation of ordered weighted averaging (OWA) operators is studied and discussed. Our results can be applied for data acting on any real interval, such as the standard scales $[0,1]$ and $[0,\infty [$ , bipolar scales $[-1,1]$ and $\mathbb {R}=]-\infty, \infty [$ , etc.
Radko Mesiar +3 more
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AN INTUITIONISTIC OWA OPERATOR
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004The OWA (Ordered Weighted Average) operator is a powerful non-linear operator for aggregating a set of inputs ai,i∈{1,2,…,M}. In the original OWA operator the inputs are crisp variables ai. This restriction was subsequently removed by Mitchell and Schaefer who by application of the extension principle defined a fuzzy OWA operator which aggregates a ...
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