Directional Shift-Stable Functions

نویسندگان

چکیده

Recently, some new types of monotonicity—in particular, weak monotonicity and directional an n-ary real function—were introduced successfully applied. Inspired by these generalizations monotonicity, we introduce a notion for functions acting on [0,1]n, namely, the shift stability. This property extends standard invariantness (difference scale invariantness), which can be seen as particular The newly proposed also kind local linearity. Several examples complete characterization case n=2 directionally shift-stable aggregation pre-aggregation are given.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9101077