Set-Based Extended Functions.

Radko Mesiar,Anna Kolesárová,Adam Seliga,Javier Montero,Daniel Gómez

MDAI（2019）

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摘要

In this paper, inspired by the Zadeh approach to the fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions on different universes. After presenting some results for set-based extended functions on a general universe, we focus our investigation on set-based extended functions on some particular universes, including lattices and (bounded) chains. A special attention is devoted to characterization of set-based extended aggregation functions on the unit interval [0,1].

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关键词

Aggregation function, Extended aggregation function, Extended function, Set-based extended aggregation function, Set-based extended function

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