On the Lipschitz property of strict triangular norms
نویسندگان
چکیده
This paper deals with Lipschitz triangular norms (t-norms). A partial answer to an open problem of Alsina, Frank and Schweizer is given with regard to strict t-norms with smooth additive generators. A new notion of local Lipschitz property for arbitrary t-norms is introduced. Some remarkable examples of non-Lipschitz continuous ones are provided.
منابع مشابه
k-Lipschitz strict triangular norms
This paper deals with Lipschitzian t-norms. A partial answer to an open problem of Alsina, Frank and Schweizer is given with regard to strict t-norms with smooth additive generators. A new notion of local Lipschitzianity for arbitrary tnorms is introduced. Some remarkable examples of non-Lipschitzian continuous triangular norms are provided.
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عنوان ژورنال:
- Int. J. General Systems
دوره 36 شماره
صفحات -
تاریخ انتشار 2007