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NeutroAlgebra is a Generalization of Partial Algebra
ISSN: 2690 - 6805
Publisher: author
NeutroAlgebra is a Generalization of Partial Algebra
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 3
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 2
Article Accessibility Score: 2
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International Category Code (ICC):
ICC-1102
Publisher: International Journal Of Neutrosophic Science Broumi Said
International Journal Address (IAA):
IAA.ZONE/269049856805
eISSN
:
2690 - 6805
VALID
ISSN Validator
Abstract
In this paper we recall, improve, and extend several definitions, properties and applications of our previous 2019 research referred to NeutroAlgebras and AntiAlgebras (also called NeutroAlgebraic Structures and respectively AntiAlgebraic Structures). Let be an item (concept, attribute, idea, proposition, theory, etc.). Through the process of neutrosphication, we split the nonempty space we work on into three regions {two opposite ones corresponding to and , and one corresponding to neutral (indeterminate) (also denoted ) between the opposites}, which may or may not be disjoint – depending on the application, but they are exhaustive (their union equals the whole space). A NeutroAlgebra is an algebra which has at least one NeutroOperation or one NeutroAxiom (axiom that is true for some elements, indeterminate for other elements, and false for the other elements). A Partial Algebra is an algebra that has at least one Partial Operation...
