Some notes on T-partial order

In this study, by means of the T-partial order defined in Karaçal and Kesicioğlu (Kybernetika 47:300-314, 2011), an equivalence relation on the class of t-norms on ([0,1],≤,0,1) is defined. Then, it is showed that the equivalence class of the weakest t-norm TD on [0,1] contains a t-norm which is different from TD. Finally, defining the sets of some incomparable elements with any x∈(0,1) according to ⪯T, these sets are studied.MSC:03E72, 03B52.

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