Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2011
Abstract
In this book the authors for the first time introduce the notion of neutrosophic intervals and study the algebraic structures using them. Concepts like groups and fields using neutrosophic intervals are not possible. Pure neutrosophic intervals and mixed neutrosophic intervals are introduced and by the very structure of the interval one can understand the category to which it belongs. We in this book introduce the notion of pure (mixed) neutrosophic interval bisemigroups or neutrosophic biinterval semigroups. We derive results pertaining to them. The new notion of quasi bisubsemigroups and ideals are introduced. Smarandache interval neutrosophic bisemigroups are also introduced and analysed. Also notions like neutrosophic interval bigroups and their substructures are studied in section two of this chapter. Neutrosophic interval bigroupoids and the identities satisfied by them are studied in section three of this chapter.
Publisher
ZIP PUBLISHING, OHIO
ISSN
978-1-59973-166-7
Language (ISO)
English
Keywords
neutrosophic interval, bialgebraic structures
Recommended Citation
W.B. Vasantha Kandasamy & F. Smarandache. NEUTROSOPHIC INTERVAL BIALGEBRAIC STRUCTURES. Ohio: ZIP PUBLISHING, 2011.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Dynamical Systems Commons, Logic and Foundations Commons, Other Mathematics Commons
