An equivalence relation based on the U-partial order

作者：Kesicioglu M Nesibe; Ertugrul Umit; Karacal Funda

来源：Information Sciences, 2017, 411: 39-51.

DOI：10.1016/j.ins.2017.05.020

• Uninorm
• Bounded lattice
• Partial order
• Equivalence of uninorms

In this paper, an equivalence relation on the class of uninorms induced by the U-partial order is discussed. Defining the set of all incomparable elements w.r.t. the U-partial order, this set is deeply investigated and some relations with the sets of all incomparable elements w.r.t. the orders induced by the corresponding underlying t-norm and t-conorm are presented. Also, the set of all incomparable elements with a fixed element w.r.t. the U-partial order is defined and studied in detail.

• 出版日期2017-10