New construction methods for uninorms via functions with q and uninorms on bounded lattices

2024/07/02 by Zhen-Yu Xiu, Xiu, Zhen-Yu, Zheng-Yuan Si +3
Computer Science · #Advanced Algebra and Logic #FOS: Mathematics #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2407.02051

openalex publication_date 2024/07/02 · openalex created_date 2024/07/06 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the construction methods for uninorms on bounded lattices via functions with the given uninorms and q∈ \mathbbL_B (or p∈ \mathbbL_B). Specifically, we investigate the conditions under which these functions can be uninorms on bounded lattices when q∈ (0,\mathfrake)∪ I_\mathfrake^\varrho and q∈ I_\varrho^\mathfrake (or p∈ (\mathfrake,1)∪ I_\mathfrake^σ and p∈ I_σ^\mathfrake), respectively. Moreover, some illustrative examples and figures are provided.

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