Soft Neutrosophic Groupoids and Their Generalization

Authors

  • Mumtaz Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Florentin Smarandache Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA
  • Muhammad Shabir Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan

Keywords:

Neutrosophic groupoid, neutrosophic bigroupoid, neutrosophic N -groupoid, soft set, soft neutrosophic groupoid, soft neutrosophic bigroupoid, soft neutrosophic N -groupoid

Abstract

Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic groupoid and their generalization with the discuissionf of some of their characteristics. We also introduced a new type of soft neutrophic groupoid, the so called soft strong neutrosophic goupoid 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.

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Published

2014-05-05

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Ali, M., Smarandache, F., & Shabir, M. (2014). Soft Neutrosophic Groupoids and Their Generalization. Neutrosophic Sets and Systems, 6, 61-80. http://fs.unm.edu/nss8/index.php/111/article/view/589

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