Yazar "Karacal, Funda" için listeleme
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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 ... -
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 ... -
Order-equivalent triangular norms
Kesicioğlu, Mücahide Nesibe; Karacal, Funda; Mesiar, Radko (Elsevier Science Bv, 2015)In this paper, an equivalence relation on the class of t-norms induced by a T-partial order is provided and discussed. the equivalence classes linked to some special t-norms are characterized as well as some properties ... -
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 ... -
t-closure operators
İnce, Mehmet Akif; Karacal, Funda (Taylor & Francis Ltd, 2019)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 ...
