关键词: 离散合取聚合算子, 迁移性, 有限链, 加法生成子, 三角模

Abstract: This paper mainly solves the problem about the migrativity of conjunctive aggregation operations on a finite chain. Firstly, this paper discusses α-migrativity with respect to minimum triangular norm and Lukasiewicz triangular norm of divisible triangular norms. Then, this paper studies α-migrativity with respect to minimum triangular norm and Lukasiewicz triangular norm of conjunctive aggregation operations in a class which have an additive generator. This paper mainly uses additive generators to depict the migrativity of the element in this class. The results show following propositions: (1) Divisible triangular norm is said to be α-migrativite with respect to minimum triangular norm if and only if α is an idempotent element. (2) Divisible triangular norm is said to be α-migrativite with respect to Lukasiewicz triangular norm if and only if it is Lukasiewicz triangular norm. (3) The element in conjunctive aggregation operations which have an additive generator is the condition of α-migrativity with respect to minimum triangular norm and Lukasiewicz triangular norm.

Key words: discrete conjunctive aggregation operations, migrativity, finite chain, additive generator, triangular norm