[HTML][HTML] On binary relations induced from overlap and grouping functions

J Qiao - International Journal of Approximate Reasoning, 2019 - Elsevier
In this paper, firstly, we introduce the binary relation⪯ O derived from an overlap function O.
And then, we show that⪯ O does not satisfy the reflexivity, anti-symmetry and transitivity …

Order based on associative operations

VK Gupta, B Jayaram - Information Sciences, 2021 - Elsevier
Inspired by the classical works on obtaining order from semigroups, recently, many
researchers have proposed orders based on associative fuzzy logic connectives. However …

Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice

MN Kesicioğlu - Fuzzy Sets and Systems, 2018 - Elsevier
In this paper, an equivalence on the class of nullnorms on a bounded lattice is discussed.
Some relationships between the U and V-partial orders are investigated. A necessary and …

[PDF][PDF] Equivalence classes of uninorms

E Aşıcı - Filomat, 2019 - doiserbia.nb.rs
In this paper, some properties of an order induced by uninorms are studied. The set of
incomparable elements with respect to the U-partial order for any uninorm on bounded …

About the orders induced by implications satisfying the law of importation

MN Kesicioğlu - International Journal of Uncertainty, Fuzziness and …, 2018 - World Scientific
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 …

Notes on locally internal uninorm on bounded lattices

GD Caylı, Ü Ertuğrul, T Köroğlu, F Karaçal - Kybernetika, 2017 - dml.cz
In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded
lattice $ L $. We examine some properties of an idempotent and locally internal uninorm on …

t-closure Operators

MA İnce, F Karaçal - International Journal of General Systems, 2019 - Taylor & Francis
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 …

On the relationships between the orders induced by uninorms and nullnorms

MN Kesicioğlu - Fuzzy Sets and Systems, 2020 - Elsevier
In this paper, some relationships between the orders induced by uninorms and nullnorms
are discussed. Some relations between the sets admitting some incomparability wrt those …

Ordering based on uni-nullnorms

MN Kesicioğlu, E Şamlı - Journal of Intelligent & Fuzzy …, 2020 - content.iospress.com
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 …

About the equivalence of nullnorms on bounded lattice

MN Kesicioğlu - Kybernetika, 2017 - dml.cz
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 …