Yazar "Karaçal, Funda" için listeleme
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Congruence relations and direct decomposition of uninorms on bounded lattices
Karaçal, Funda; Ertuğrul, Ümit; Arpacı, Samet; Kesicioğlu, Mücahide Nesibe (World Scientific, 2023)In this paper, the concept of U-compatible congruence and its related properties are studied. We also focus on homomorphism theorems for uninorms. Decomposition of uninorms is investigated via factor congruences, at first. ... -
Determination of the smallest-greatest uni-nullnorms and null-uninorms on an arbitrary bounded lattice L
İnce, Mehmet Akif; Karaçal, Funda (World Stientific Publishing, 2023)In this paper, we study uni-nullnorms and null-uninorms on bounded lattices, which are generalizations of uninorms, nullnorms, t-norms and t-conorms. We construct two uni-nullnorms and two null-uninorms on a bounded lattice ... -
An extension method for t-norms on subintervals to t-norms on bounded lattices
Karaçal, Funda; Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe (Kybernetika, 2019)In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. the supremum distributivity of the constructed t-norm by the mentioned method is ... -
Generating methods for principal topologies on bounded lattices
Karaçal, Funda; Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe (Kybernetika, 2021)In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained ... -
The implications obtained by two given implications on bounded lattices
Karaçal, Funda; Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit (Taylor & Francis Ltd., 2021)In this paper, some construction methods for implications on bounded lattices are introduced and the preserved properties such as the neutrality property, the identity principle and the ordering property are investigated. ... -
Medians and nullnorms on bounded lattices
İnce, Mehmet Akif; Karaçal, Funda; Mesiar, Radko (Elsevier Science Bv, 2016)Nullnorms are generalizations of triangular norms and triangular conorms with a zero element in the interior of the unit interval. in this paper, we work on nullnorms which are defined on an arbitrary bounded lattice. We ... -
Nullnorms on bounded lattices
Karaçal, Funda; İnce, Mehmet Akif; Mesiar, Radko (Elsevier Science Inc, 2015)Nullnorms are generalization of triangular norms and triangular conorms with a zero element in the interior of the unit interval. in this paper, we generalize nullnorms to an arbitrary bounded lattices. We show the existence ... -
On some properties of generalized convex combination of triangular norms
Karaçal, Funda; Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit (Springer Verlag, 2019)In this paper, we define linear and generalized convex combination of triangular norms on bounded lattice. We investigate its some algebraic properties like unit element and zero-divisor element by putting some conditions. ... -
Ordering based on uninorms
Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe; Karaçal, Funda (Elsevier Science Inc, 2016)In this paper, an order induced by uninorms on bounded lattices is given and discussed. By defining such an order, the T-partial order is extended to a more general form. the relationship between the order induced by the ... -
A T-partial order obtained from T-norms
A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L. It is obtained that for a t-norm on a bounded lattice L the relation a ?T b iff a = T(x,b) for some x ? L is a partial ...
