单位区间上由Gödel模和Galois联络生成的三角模

Triangular Norms on the Unit Interval Generated by the Gödel Normand Galois Connections

研究单位区间上由Gödel模和Galois联络生成的三角模的结构,利用幂等元集给出这类三角模的刻画,证明两个这样的三角模同构当且仅当它们的幂等元集间存在保序同胚.

This paper investigates the structure of t-norms on the unit interval,generated by the Gödel norm and Galois connections.Characterizations of such t-norms are given in terms of their idempotent elements.Particularly,it is shown that any two such t-norms are isomorphic if and only if there is an order-preserving homeomorphism between the sets of their idempotent elements.