Divisible associative aggregation operations on finite chains

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Su Y.; Su Y.; Mesiar R.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2023 | Volume:20 | Issue:5 Page(s): 1-8

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Information Journal Paper

Title

Divisible associative aggregation operations on finite chains

Author(s)

Su Y. | Su Y. | Mesiar R. | Issue Writer Certificate

Keywords

Aggregation function

Smoothness

Divisibility

1-Lipschitz property

Intermediate-value property

Abstract

There exist several versions of discrete counterpart of continuity in the framework of finite chains, e.g., the Smoothness, the Divisibility, Intermediate-value property and the 1-Lipschitz property. In this paper, we first discuss the relationships among the Smoothness, Divisibility, Intermediate-value property and 1-Lipschitz property. Second, we present complete characterizations of divisible associative aggregation operations on finite chains.

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