Divisible associative aggregation operations on finite chains

Document Type : Research Paper

Authors

1 Suzhou University of Science and Technology

2 School of mathematics sciences，Suzhou University of Science and Technology，Suzhou, Jiangsu 215009，China

3 Faculty of Civil Engineering, Department of Mathematics, Slovak University of Technology (STU), Bratislava, Slovakia

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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References

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Iranian Journal of Fuzzy Systems
Volume 20, Issue 5
September and October 2023
Pages 1-8

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