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Characterization of uninorms on bounded lattices and u-partially order derived from uninorm

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2017
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Abstract (EN)

The aim of the present thesis is to characterize uninorms on bounded lattices, present construction methods for uninorms and t-norms (t-conorms), investigate some properties of U-partially order by defining U-partially order and give a generalization of the order.This study consists of two main chapters. In Chapter 1, some definitions and theorems which are crucial for our study are stated. Chapter 2 consists of two parts each of which contains two sub-sections. In the first part, a characterization of uninorms on bounded lattices is given and construction methods of uninorms, t-norms and t-conorms are presented. In the second part, U-partially order derived from uninorm is defined, some properties of the partially order are investigated and the order is extended to partially order derived from n-uninorm.

Author

Ümit Ertuğrul

How to Cite

Ümit Ertuğrul (Doctorate thesis). Characterization of uninorms on bounded lattices and u-partially order derived from uninorm, 2017, Karadeniz Technical University.

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