Generalizations of Weighted Means and OWA Operators by Using Unimodal Weighting Vectors
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DOI: 10.1109/tfuzz.2019.2928513
Abstract: Weighted means and ordered weighted averaging (OWA) operators are two families of functions well known in the literature. Given that both are specific cases of the Choquet integral, several procedures for constructing capacities that generalize… read more here.
Keywords: owa operators; means owa; using unimodal; operators using ... See more keywords
On Kedlaya-type inequalities for weighted means
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DOI: 10.1186/s13660-018-1685-z
Abstract: AbstractIn 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M$\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn))$$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots,\mathscr{M}(x _{1},\ldots,x_{n}) \bigr) \le \mathscr{M} \bigl( x_{1}, \mathscr{A}(x _{1},x_{2}), \ldots,\mathscr{A}(x_{1},\ldots,x_{n}) \bigr) $$ holds for… read more here.
Keywords: kedlaya type; weighted means; inequalities weighted; mathscr ldots ... See more keywords