The structure of continuous uni-norms

Authors:
Shi-Kai Hu;Zhong-fu Li
Affiliations:
Department of Mathematics, Sichuan University, Chengdu 610064, People's Republic of China;Department of Mathematics, Sichuan University, Chengdu 610064, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2001

Citing 5
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Abstract

The concept of uni-norm aggregation operators (uni-norms) was introduced by Yager and Rybalov to unify and generalize the t-norms and t-conorms. Considering that uni-norms continuous on [0, 1]2 must be t-norms or t-conorms, we concentrate our attention on uni-norms continuous in (0, 1)2 in this paper. We mainly investigate their Properties, representation and structure.