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MP-OWA: The most preferred OWA operator
Knowledge-Based Systems, 2008In practical term any result obtained using an ordered weighted averaging (OWA) operator heavily depends upon the method to determine the weighting vector. Several approaches for obtaining the associated weights have been suggested in the literature, in which none of them took into account the preference of alternatives.
Ali Emrouznejad
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On the orders of OWA operators
In this paper, we propose a partial ordering ⪯ on the set of ordered weighted averaging (OWA) operators. Based on this relation ⪯, we introduce the negation, conjunction and disjunction operations, and establish a bounded De Morgan lattice equipped with an involutive negation for OWA operators.
Songsong Dai, Jianwei Zheng
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierpaolo D'Urso, Jalal Chachi
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Probabilities in the OWA operator
Expert Systems With Applications, 2012We analyze the use of the probability in the ordered weighted average (OWA). We introduce the probabilistic OWA (POWA) operator. It is an aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum that considers the degree of importance that the probability and the OWA operator have in the ...
José M Merigo
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Genie+OWA: Robustifying hierarchical clustering with OWA-based linkages
Abstract We investigate the application of the Ordered Weighted Averaging (OWA) data fusion operator in agglomerative hierarchical clustering. The examined setting generalises the well-known single, complete and average linkage schemes. It allows to embody expert knowledge in the cluster merge process and to provide a much wider range of possible ...
Anna Cena, Marek Gagolewski
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Generalized OWA Aggregation Operators
Fuzzy Optimization and Decision Making, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ronald Yager
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OWA Generation Function and Some Adjustment Methods for OWA Operators With Application
IEEE Transactions on Fuzzy Systems, 2016We propose the concept of ordered weighted averaging (OWA) generation function with some properties, illustrative examples, and usages. A number of new properties of OWA operators and relations between some well-known OWA operators are proposed and proved using OWA Generation Functions.
Gang Qian, Lesheng Jin
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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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On the properties of equidifferent OWA operator [PDF]
Getting OWA weights under given orness level is an active topic in the OWA operator research. The paper proposes a series of weights generating methods in equidifferent forms.
Xinwang Liu
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