Ordering based 2-uninorm on bounded lattice

In this paper, an order induced by 2-uninorm on bounded lattices is given and some properties of the order are discussed. By defining such an order on bounded lattice, the T-partial order, S-partial order and V-partial order are extended to a more general form.

Bibliographic Details
Main Authors: Umit Ertugrul, Mücahide Nesibe Kesicioğlu, Funda Karaçal
Format: Article
Language:English
Published: BİSKA Bilisim Company 2017-04-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8265
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spelling doaj-8bc7e60a5c42431da0c48b4982f7fd572020-11-24T21:55:27ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-04-015128729310.20852/ntmsci.2017.1488265Ordering based 2-uninorm on bounded latticeUmit Ertugrul0Mücahide Nesibe Kesicioğlu1Funda Karaçal2Research AsistantRecep Tayyip Erdoğan ÜniversitesiKaradeniz Teknik ÜniversitesiIn this paper, an order induced by 2-uninorm on bounded lattices is given and some properties of the order are discussed. By defining such an order on bounded lattice, the T-partial order, S-partial order and V-partial order are extended to a more general form.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8265Uninorm2-uninormbounded latticepartial order.
collection DOAJ
language English
format Article
sources DOAJ
author Umit Ertugrul
Mücahide Nesibe Kesicioğlu
Funda Karaçal
spellingShingle Umit Ertugrul
Mücahide Nesibe Kesicioğlu
Funda Karaçal
Ordering based 2-uninorm on bounded lattice
New Trends in Mathematical Sciences
Uninorm
2-uninorm
bounded lattice
partial order.
author_facet Umit Ertugrul
Mücahide Nesibe Kesicioğlu
Funda Karaçal
author_sort Umit Ertugrul
title Ordering based 2-uninorm on bounded lattice
title_short Ordering based 2-uninorm on bounded lattice
title_full Ordering based 2-uninorm on bounded lattice
title_fullStr Ordering based 2-uninorm on bounded lattice
title_full_unstemmed Ordering based 2-uninorm on bounded lattice
title_sort ordering based 2-uninorm on bounded lattice
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2017-04-01
description In this paper, an order induced by 2-uninorm on bounded lattices is given and some properties of the order are discussed. By defining such an order on bounded lattice, the T-partial order, S-partial order and V-partial order are extended to a more general form.
topic Uninorm
2-uninorm
bounded lattice
partial order.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8265
work_keys_str_mv AT umitertugrul orderingbased2uninormonboundedlattice
AT mucahidenesibekesicioglu orderingbased2uninormonboundedlattice
AT fundakaracal orderingbased2uninormonboundedlattice
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