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Supermigrativity of aggregation functions [PDF]
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Durante, Fabrizio +1 more
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Matrix Representation of Capacity-Based Multicriteria Decision Analysis
Matrix algebra is an efficient way to represent the relationship between different concepts in the multiple criteria decision analysis theory. The main purpose of this paper is to provide a compact and systematic representation of the capacities and ...
Rui-Jie Xi, Jian-Zhang Wu, Gleb Beliakov
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On Self-Aggregations of Min-Subgroups
Preservation of structures under aggregation functions is an active area of research with applications in many fields. Among such structures, min-subgroups play an important role, for instance, in mathematical morphology, where they can be used to model ...
Carlos Bejines +2 more
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The tortuosity assessment of vessels and nerve fibres in ophthalmic images has drawn substantial attention, for its potentials in assisting various medical diagnoses.
Pan Su +6 more
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Multipurpose Aggregation in Risk Assessment
Risk-mitigation decisions in risk-management systems are usually based on complex risk indicators. Therefore, aggregation is an important step during risk assessment. Aggregation is important when determining the risk of components or the overall risk of
Zoltán Kovács +3 more
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AHP-Like Matrices and Structures—Absolute and Relative Preferences
Aggregation functions are extensively used in decision making processes to combine available information. Arithmetic mean and weighted mean are some of the most used ones. In order to use a weighted mean, we need to define its weights.
David Koloseni +2 more
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Some properties of implications via aggregation functions and overlap functions [PDF]
In this work, using the identification between implication operators and aggregation functions, we study the implication operators that are recovered from overlap functions.
H. Zapata +3 more
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Andness Directedness for t-Norms and t-Conorms
Tools for decision making need to be simple to use. In previous papers, we advocated that decision engineering needs to provide these tools, as well as a list of necessary properties that aggregation functions need to satisfy.
Vicenç Torra
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Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations [PDF]
In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is ...
Fateme Kouchakinejad, Alexandra Siposova
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CENTER BASED CLUSTERING AND AVERAGING AGGREGATION FUNCTIONS [PDF]
We propose a new clustering method for partitioning of finite sets from Rn, which is based on the application of averaging aggregating functions and an iterative re-weighing method for searching cluster centers.
Z. M. Shibzukhov
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