Yazar "Ertuğrul, Ümit" için Fen Edebiyat Fakültesi 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. ... -
A construction method for t-norms on bounded lattices
Karacal, Funda; Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe (Springer International Publishing Ag, 2019)In this paper, a construction method on a bounded lattice 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 has been ... -
Construction methods for uni-nullnorms and null-uninorms on bounded lattice
Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe; Karacal, Funda (Kybernetika, 2019)In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. the difference between these two construction methods and the difference from the existing construction methods have ... -
An equivalence relation based on the U-partial order
Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit; Karacal, Funda (Elsevier Science Inc, 2017)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 ... -
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 ... -
Generalized convex combination of implications on bounded lattices
Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit; Karacal, Funda (Univ Sistan & Baluchestan, 2020)In this paper, the notions of the linear and g-convex combination for implications which extend the notion of convex combination of fuzzy implications on the unit interval to bounded lattices are introduced. A necessary ... -
Generalized convex combination of triangular norms on bounded lattices
Karacal, Funda; Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit (Taylor & Francis Ltd, 2020)In this paper, we introduce the notions of the linear and generalized convex combination (shortly, g-convex combination) for triangular norms on bounded lattices. We investigate the conditions for the g-convex combination ... -
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. ... -
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 ... -
Some new construction methods for t-norms on bounded lattices
Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe; Karacal, Funda (Taylor & Francis Ltd, 2019)In this paper, three methods for constructing triangular norms on a bounded lattice L from t-norm W on sub-lattice of L are investigated. An example is added to reveal the difference of three construction methods. the ... -
Some notes on u-partıal order
Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit; Karacal, Funda (Kybernetika, 2019)In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms ...