Title of article :
Divisible associative aggregation operations on finite chains
Author/Authors :
Su ، Y. School of Mathematics Sciences - Suzhou University of Science and Technology , Su ، Y. School of mathematics sciences - Suzhou University of Science and Technolog , Mesiar ، R. Department of Mathematics - Faculty of Civil Engineering - Slovak University of Technology (STU)
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.
Keywords :
aggregation function , Smoothness , Divisibility , 1 , Lipschitz property , Intermediate , value property
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
