Next Article in Journal
Numerical Gradient Schemes for Heat Equations Based on the Collocation Polynomial and Hermite Interpolation
Next Article in Special Issue
Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment
Previous Article in Journal
A New Family of Chaotic Systems with Different Closed Curve Equilibrium
Previous Article in Special Issue
Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making
Article Menu
Issue 1 (January) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(1), 95; https://doi.org/10.3390/math7010095

Neutrosophic Multigroups and Applications

Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey
*
Author to whom correspondence should be addressed.
Received: 12 December 2018 / Revised: 10 January 2019 / Accepted: 14 January 2019 / Published: 17 January 2019
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Full-Text   |   PDF [280 KB, uploaded 20 January 2019]

Abstract

In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices. Neutrosophic multiset is a generalization of multisets and neutrosophic sets. In this paper, we proposed a algebraic structure on neutrosophic multisets is called neutrosophic multigroups which allow the truth-membership, indeterminacy-membership and falsity-membership sequence have a set of real values between zero and one. This new notation of group as a bridge among neutrosophic multiset theory, set theory and group theory and also shows the effect of neutrosophic multisets on a group structure. We finally derive the basic properties of neutrosophic multigroups and give its applications to group theory. View Full-Text
Keywords: neutrosophic sets; neutrosophic multisets; neutrosophic multigroups; neutrosophic multisubgroups neutrosophic sets; neutrosophic multisets; neutrosophic multigroups; neutrosophic multisubgroups
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Uluçay, V.; Şahin, M. Neutrosophic Multigroups and Applications. Mathematics 2019, 7, 95.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top