Induced weighted operators based on dissimilarity functions

Induced weighted operators based on dissimilarity functions

Based on the minimization considering dissimilarity function D(x,y)=f(x)-f(y)2 induced ordered weighted averaging operators IOWA and induced ordered generalized mixture operators IOMg are discussed. In general, these operators need not be monotone non-decreasing, thus they need not be the aggregatio...

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Veröffentlicht in:Information sciences 2015-02, Vol.294, p.530-539
1. Verfasser: Spirkova, Jana
Format: Artikel
Sprache:eng
Schlagworte:
Agglomeration
Argument variable
Dissimilarity function
Inducing variable
Minimization
Monotonicity
Operator
Operators
Optimization
Weak monotonicity
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Zusammenfassung:Based on the minimization considering dissimilarity function D(x,y)=f(x)-f(y)2 induced ordered weighted averaging operators IOWA and induced ordered generalized mixture operators IOMg are discussed. In general, these operators need not be monotone non-decreasing, thus they need not be the aggregation operators. This paper introduces conditions for their monotonicity and weak monotonicity. Several examples are included.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2014.09.049