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Neutrosophic LI-ideals in lattice implication algebrasopen access
- Issue Date
- Jul-2020
- Publisher
- University of New Mexico
- Keywords
- Lattice implication algebra; neutrosophic LI-ideals; neutrosophic lattice ideal; implication homomorphism
- Citation
- Neutrosophic Sets and Systems, v.31, no.7, pp 282 - 296
- Pages
- 15
- Indexed
- SCOPUS
ESCI
- Journal Title
- Neutrosophic Sets and Systems
- Volume
- 31
- Number
- 7
- Start Page
- 282
- End Page
- 296
- ISSN
- 2331-608X
- Abstract
- The notion of neutrosophic set theory is applied to lattice implication algebras, and the concept of neutrosophic LI-ideals and neutrosophic lattice ideals in a lattice implication algebra are introduced. Several properties are investigated. Relationships between a neutrosophic LI-ideal and a neutrosophic lattice ideal are established, and conditions for a neutrosophic lattice ideal to be a neutrosophic LI-ideal are provided. Characterizations of a neutrosophic LI-ideal are discussed. The properties of implication homomorphism of lattice implication algebras related to neutrosophic LI-ideals are studied.
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