Yazar "Kesicioğlu, Mücahide Nesibe" için listeleme
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About the equivalence of nullnorms on bounded lattice
Kesicioğlu, Mücahide Nesibe (Kybernetika, 2017)In this paper, an equivalence on the class of nullnorms on a bounded lattice based on the equality of the orders induced by nullnorms is introduced. the set of all incomparable elements w.r.t. the order induced by nullnorms ... -
About the orders induced by implications satisfying the law of importation
Kesicioğlu, Mücahide Nesibe (World Scientific Publ Co Pte Ltd, 2018)In this paper, an order induced by implications on a bounded lattice under some more lenient conditions than the ones given former studies is defined and some of its properties are discussed. By giving an order based on ... -
Closure operators constructed by logical operations on bounded lattices
Kesicioğlu, Mücahide Nesibe; Kürkçü Çakar, Ece (Elsevier, 2024)In this paper, closure operators obtained from functions having some properties on bounded lattices are defined. By this way, it is aimed to generalize the notions T and U-closure operators obtained from t-norms and uninorms, ... -
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 implications on bounded lattices
Kesicioğlu, Mücahide Nesibe (Kybernetika, 2019)In this paper, the ordinal sum construction methods of implications on bounded lattices are studied. Necessary and sufficient conditions of an ordinal sum for obtaining an implication are presented. New ordinal sum ... -
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 orders induced by implications
Kesicioğlu, Mücahide Nesibe; Çoğalmış, F. Tuba (Univ Sistan & Baluchestan, 2019)In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary and sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of ... -
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. ... -
On the relationships between the orders induced by uninorms and nullnorms
Kesicioğlu, Mücahide Nesibe (Elsevier, 2020)In this paper, some relationships between the orders induced by uninorms and nullnorms are discussed. Some relations between the sets admitting some incomparability w.r.t. those orders are investigated. Also, some relationships ... -
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 ... -
Ordering based on implications
Kesicioğlu, Mücahide Nesibe; Mesiar, Radko (Elsevier Science Inc, 2014)Implication function I on a bounded lattice L is defined by means of some boundary conditions and monotonicity constraints. on the other hand, each implication function I on L defines a special relation which, in some ... -
Ordering based on implications (vol 276, pg 377, 2014)
Kesicioğlu, Mücahide Nesibe; Mesiar, Radko (Elsevier Science Inc, 2014)In this paper, the study of ordering based on implications, given in (Information Sciences, 276 (2014) 377-386) is revised. the implication given in Example 1 is corrected and its right version is shown. (C) 2014 Elsevier ... -
Ordering based on uni-nullnorms
Kesicioğlu, Mücahide Nesibe; Şamlı, Esra (Ios Press, 2020)In this paper, orders based on uni-nullnorms on bounded lattices are introduced and discussed. By this way, the existing orders in the literature induced by t-norms, t-conorms, uninorms and nullnorms are extended to much ...
