Flat ideals in the unit interval with the canonical fuzzy order
Hongliang Lai, Dexue Zhang, Gao Zhang
TL;DR
This paper characterizes flat ideals in the unit interval equipped with the canonical fuzzy order using ordinal sum decomposition of continuous t-norms, aiding the study of fuzzy order properties.
Contribution
It provides a novel characterization of flat ideals in fuzzy orders through ordinal sum decomposition, advancing the understanding of fuzzy order structures.
Findings
Characterization of flat ideals in the unit interval with fuzzy order
Use of ordinal sum decomposition of continuous t-norms
Facilitates analysis of topological and domain properties of fuzzy orders
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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Taxonomy
TopicsFuzzy and Soft Set Theory · Rough Sets and Fuzzy Logic · Fuzzy Logic and Control Systems