Divisible associative aggregation operations on finite chains
نویسندگان
1 Faculty of Civil Engineering, Department of Mathematics, Slovak University of Technology (STU), Bratislava, Slovakia
2 Suzhou University of Science and Technology
3 School of mathematics sciences，Suzhou University of Science and Technology，Suzhou, Jiangsu 215009，China
doi
10.22111/ijfs.2023.44566.7845چکیده
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.
