A New Construction Method for Uninorms on a Bounded Lattice <i>L</i> via a Binary Function with an Element of <i>L</i> and a Uninorm on a Subinterval of <i>L</i>

In this paper, we study the construction method for uninorms on a bounded lattice L via a binary function with a given uninorm on a subinterval of L and an element q (respectively p) of L. Specifically, we provide the conditions under which the function can be a uninorm on L when q (respectively p) belongs to some different subsets of L. Moreover, some illustrative examples and figures are provided.

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Publication Details

Journal
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
Published
2025-10-31
DOI
https://doi.org/10.1142/s021848852550028x
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

A New Construction Method for Uninorms on a Bounded Lattice L via a Binary Function with an Element of L and a Uninorm on a Subinterval of L

Zhen-Yu Xiu, Zheng-Yuan Si, Zheng Xu
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
Advanced Algebra and Logic
article

A New Construction Method for Uninorms on a Bounded Lattice L via a Binary Function with an Element of L and a Uninorm on a Subinterval of L

Zhen-Yu Xiu, Zheng-Yuan Si, Zheng Xu
article en

Abstract

In this paper, we study the construction method for uninorms on a bounded lattice L via a binary function with a given uninorm on a subinterval of L and an element q (respectively p) of L. Specifically, we provide the conditions under which the function can be a uninorm on L when q (respectively p) belongs to some different subsets of L. Moreover, some illustrative examples and figures are provided.

International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsVol. 33(08)
Chengdu University of Information Technology (CN)
Openalex Percentile: Top 67%
Advanced Algebra and Logic
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