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and Applied Analysis 3 As a result of 2.2 we obtain, for each x, y ∈ 0, 1 , T ( x, y ) ≤ T x, 1 x, T ( x, y ) ≤ T ( 1, y ) y. 2.5 Since, for all x, y ∈ 0, 1 , trivially T x, y ≥ 0 TD x, y , we get for an arbitrary t-norm T , TD ≤ T ≤ TM. 2.6 That is, TD is weaker and TM is stronger than any other t-norms. Also since TL < TP , we obtain the following ordering for four basic t-norms TD < TL < TP ...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2005
ISSN: 0010-2571
DOI: 10.4171/cmh/7