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math.GM2018★ 1 cited
Flat ideals in the unit interval with the canonical fuzzy order
Hongliang Lai, Dexue Zhang, Gao Zhang
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 charact…
math.GM2017★ 1 cited
A comparative study of ideals in fuzzy orders
Hongliang Lai, Dexue Zhang, Gao Zhang
This paper presents a comparative study of three kinds of ideals in fuzzy order theory: forward Cauchy ideals (generated by forward Cauchy nets), flat ideals and irreducible ideals…