Soft Neutrosophic Loops and Their Generalization

• Main Authors: Mumtaz Ali, Christopher Dyer, Muhammad Shabir, Florentin Smarandache
• Format: Article
• Language: English
• Published: University of New Mexico 2014-06-01
• Series: Neutrosophic Sets and Systems
• Subjects: Neutrosophic loop; neutrosophic biloop; neutrosophic N-loop; soft set; soft neutrosophic loop; soft neutrosophic biloop; soft neutrosophic N-loop
• Online Access: http://fs.gallup.unm.edu/NSS/Soft%20Neutrosophic%20Loops.pdf

Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N -loop with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic loop, the so called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also found in all the other corresponding notions of soft neutrosophic thoery. We also given some of their properties of this newly born soft structure related to the strong part of neutrosophic theory.