t-closure operators
Künye
İnce, M.A. & Karacal, F. (2019). t-closure Operators. International Journal of General Systems, 48(2), 139-156. https://doi.org/10.1080/03081079.2018.1549041Özet
In this study, based on the knowledge of the existence of t-norms on an arbitrary given bounded lattice, we introduce t-closure operators with the help of a t-norm on the lattice and a subset of the lattice including the top element. We define two equivalence relations by using t-closure operators. the first one is on the set of all t-norms on a bounded lattice. An important class is obtained according to this relation. We define a partially order on the set of all equivalent relations given as secondly. Further, we define a set, denoted by , and by using this set, we investigate under which conditions L can be embedded into . We obtain a topology by using t-closure operators and examine some properties of this topology. Lastly, we generalize partial order.