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Anglický jazyk
On Fuzzy Ideals and Fuzzy Filters of Fuzzy Lattices
Autor: Ivan Mezzomo
Using the fuzzy lattices defined by Chon, we define fuzzy homomorphism between fuzzy lattices, the operations of product, collapsed sum, lifting, opposite, interval, and intuitionistic on bounded fuzzy lattices. We define ideals and filters of fuzzy lattices... Viac o knihe
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O knihe
Using the fuzzy lattices defined by Chon, we define fuzzy homomorphism between fuzzy lattices, the operations of product, collapsed sum, lifting, opposite, interval, and intuitionistic on bounded fuzzy lattices. We define ideals and filters of fuzzy lattices and concepts in the same way as in their characterization in terms of level and support sets. Moreover, we introduce a new notion of fuzzy ideals and fuzzy filters for fuzzy lattices and define types of fuzzy ideals and fuzzy filters that generalize usual types of ideals and filters of lattices, such as principal ideals, proper ideals, prime ideals, and maximal ideals. We also introduce the notion of a-ideals and a-filters of fuzzy lattices and characterize it by using its support and its level set, and we propose a new notion of fuzzy a-lattices and fuzzy distributive a-lattices.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2021
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786204181783
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