2020/07/27 by Xinxing Wu, Wu, Xinxing, Shudi Liang +3
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Multi-Criteria Decision Making
paper · pdf · doi:10.48550/arxiv.2007.13269
openalex publication_date 2020/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent characterization for the existence of idempotent nullnorms with the zero element a on any bounded lattice containing two distinct elements incomparable with a. Furthermore, some basic properties for the bounded lattice containing two distinct element incomparable with a are presented.