Flat ideals in the unit interval with the canonical fuzzy order

2018/01/16 by Hongliang Lai, Lai, Hongliang, Dexue Zhang +3
Computer Science · Decision Sciences · #03B52 #03E72 #06A99 #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.1801.06060

openalex publication_date 2018/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A characterization of flat ideals in the unit interval with the canonical fuzzy order is obtained with the help of the ordinal sum decomposition of continuous t-norms. This characterization will be useful in the study of topological and domain theoretic properties of fuzzy orders.

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