New families of uninorms constructed by a uninorm on a sublattice of a bounded lattice

In this paper, we introduce two construction approaches for uninorms on a bounded lattice by virtue of uninorms determined on its sublattices. We also demonstrate that the uninorms obtained by our approaches distinguish themselves from the existing ones because the uninorms defined on sublattices stem from combinations of t-norms and t-conorms. Additionally, we describe some examples to illustrate these uninorms.

Authors

Publication Details

Journal
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
Published
2026-07-18
DOI
https://doi.org/10.1142/s021848852650039x
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

New families of uninorms constructed by a uninorm on a sublattice of a bounded lattice

Gül Deniz Çaylı
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
Advanced Algebra and Logic
article

New families of uninorms constructed by a uninorm on a sublattice of a bounded lattice

Gül Deniz Çaylı
article en

Abstract

In this paper, we introduce two construction approaches for uninorms on a bounded lattice by virtue of uninorms determined on its sublattices. We also demonstrate that the uninorms obtained by our approaches distinguish themselves from the existing ones because the uninorms defined on sublattices stem from combinations of t-norms and t-conorms. Additionally, we describe some examples to illustrate these uninorms.

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
Openalex Percentile: Top 6%
Advanced Algebra and Logic
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

New families of uninorms constructed by a uninorm on a sublattice of a bounded lattice — Gül Deniz Çaylı · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems (2026) | TGRS Research Map | TGRS