Special Issue "New Challenges in Neutrosophic Theory and Applications"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 1 September 2019

Special Issue Editors

Guest Editor
Prof. Stefan Vladutescu

Department of Computer Science, Faculty of Sciences, University of Craiova, Craiova 200585, Romania
Website | E-Mail
Interests: qualitative social research, communication and media and metaphysics
Guest Editor
Prof. Mihaela Colhon

Department of Computer Science, University of Craiova, Craiova 200585, Romania
Website 1 | Website 2 | E-Mail
Interests: artificial intelligence, knowledge representation and reasoning, natural language processing, human-computer interaction

Special Issue Information

Dear Colleagues,

Since its first development in 1995, Neutrosophy has been the basis of neutrosophic logic and neutrosophic sets. Neutrosophic sets and logic are generalizations of fuzzy and intuitionistic fuzzy sets and logic. Since then, studies about “neutrosophy” and its derivatives, such as “neutrosophic logic”, “neutrosophic set”, “neutrosophic probability”, and “neutrosophic statistics”, have been applied in various domains, starting from computational intelligence, clustering, control, data analysis and data mining, decision making and support, design, human factors engineering and ergonomics, information processing and retrieval, knowledge representation and reasoning, all the way to image processing, medical diagnosis, optimization, pattern classification, production planning and scheduling, quality control, natural language processing, etc.

We welcome authors to present new neutrosophic techniques, methodologies, mixed approaches, and research directions pointing to unsolved issues. Topics of interest include, but are not limited to:

  • Neutrosophic sets
  • Neutrosophic algebra
  • Neutrosophic topology
  • Neutrosophic graphs
  • Neutrosophic probabilities
  • Neutrosophic tools for decision making
  • Neutrosophic theory for machine learning
  • Neutrosophic statistics
  • Neutrosophic numerical measures
  • Classical neutrosophic numbers
  • A neutrosophic hypothesis
  • The neutrosophic level of significance
  • The neutrosophic confidence interval
  • The neutrosophic central limit theorem
  • Neutrosophic theory in bioinformatics and medical analytics
  • Neutrosophic tools for big data analytics
  • Neutrosophic tools for deep learning
  • Neutrosophic tools for data visualization
  • Quadripartitioned single valued neutrosophic sets
  • Refined single valued neutrosophic sets

Prof. Stefan Vladutescu
Prof. Mihaela Colhon
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (5 papers)

View options order results:
result details:
Displaying articles 1-5
Export citation of selected articles as:

Research

Open AccessArticle Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment
Mathematics 2019, 7(1), 97; https://doi.org/10.3390/math7010097
Received: 23 November 2018 / Revised: 9 January 2019 / Accepted: 11 January 2019 / Published: 17 January 2019
PDF Full-text (582 KB) | HTML Full-text | XML Full-text
Abstract
In real applications, most decisions are fuzzy decisions, and the decision results mainly depend on the choice of aggregation operators. In order to aggregate information more scientifically and reasonably, the Heronian mean operator was studied in this paper. Considering the advantages and limitations [...] Read more.
In real applications, most decisions are fuzzy decisions, and the decision results mainly depend on the choice of aggregation operators. In order to aggregate information more scientifically and reasonably, the Heronian mean operator was studied in this paper. Considering the advantages and limitations of the Heronian mean (HM) operator, four Heronian mean operators for bipolar neutrosophic number (BNN) are proposed: the BNN generalized weighted HM (BNNGWHM) operator, the BNN improved generalized weighted HM (BNNIGWHM) operator, the BNN generalized weighted geometry HM (BNNGWGHM) operator, and the BNN improved generalized weighted geometry HM (BNNIGWGHM) operator. Then, their propositions were examined. Furthermore, two multi-criteria decision methods based on the proposed BNNIGWHM and BNNIGWGHM operator are introduced under a BNN environment. Lastly, the effectiveness of the new methods was verified with an example. Full article
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Figures

Figure 1

Open AccessArticle Neutrosophic Multigroups and Applications
Mathematics 2019, 7(1), 95; https://doi.org/10.3390/math7010095
Received: 12 December 2018 / Revised: 10 January 2019 / Accepted: 14 January 2019 / Published: 17 January 2019
PDF Full-text (280 KB) | HTML Full-text | XML Full-text
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Open AccessArticle Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making
Mathematics 2019, 7(1), 50; https://doi.org/10.3390/math7010050
Received: 11 December 2018 / Revised: 26 December 2018 / Accepted: 2 January 2019 / Published: 6 January 2019
PDF Full-text (334 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, we have investigated neutrosophic soft expert multisets (NSEMs) in detail. The concept of NSEMs is introduced. Several operations have been defined for them and their important algebraic properties are studied. Finally, we define a NSEMs aggregation operator to construct an [...] Read more.
In this paper, we have investigated neutrosophic soft expert multisets (NSEMs) in detail. The concept of NSEMs is introduced. Several operations have been defined for them and their important algebraic properties are studied. Finally, we define a NSEMs aggregation operator to construct an algorithm for a NSEM decision-making method that allows for a more efficient decision-making process. Full article
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Open AccessArticle Design of Fuzzy Sampling Plan Using the Birnbaum-Saunders Distribution
Mathematics 2019, 7(1), 9; https://doi.org/10.3390/math7010009
Received: 18 November 2018 / Revised: 12 December 2018 / Accepted: 14 December 2018 / Published: 21 December 2018
PDF Full-text (909 KB) | HTML Full-text | XML Full-text
Abstract
Acceptance sampling is one of the essential areas of quality control. In a conventional environment, probability theory is used to study acceptance sampling plans. In some situations, it is not possible to apply conventional techniques due to vagueness in the values emerging from [...] Read more.
Acceptance sampling is one of the essential areas of quality control. In a conventional environment, probability theory is used to study acceptance sampling plans. In some situations, it is not possible to apply conventional techniques due to vagueness in the values emerging from the complexities of processor measurement methods. There are two types of acceptance sampling plans: attribute and variable. One of the important elements in attribute acceptance sampling is the proportion of defective items. In some situations, this proportion is not a precise value, but vague. In this case, it is suitable to apply flexible techniques to study the fuzzy proportion. Fuzzy set theory is used to investigate such concepts. It is observed there is no research available to apply Birnbaum-Saunders distribution in fuzzy acceptance sampling. In this article, it is assumed that the proportion of defective items is fuzzy and follows the Birnbaum-Saunders distribution. A single acceptance sampling plan, based on binomial distribution, is used to design the fuzzy operating characteristic (FOC) curve. Results are illustrated with examples. One real-life example is also presented in the article. The results show the behavior of curves with different combinations of parameters of Birnbaum-Saunders distribution. The novelty of this study is to use the probability distribution function of Birnbaum-Saunders distribution as a proportion of defective items and find the acceptance probability in a fuzzy environment. This is an application of Birnbaum-Saunders distribution in fuzzy acceptance sampling. Full article
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Figures

Figure 1

Open AccessArticle On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces
Mathematics 2019, 7(1), 1; https://doi.org/10.3390/math7010001
Received: 17 November 2018 / Revised: 11 December 2018 / Accepted: 13 December 2018 / Published: 20 December 2018
PDF Full-text (300 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed [...] Read more.
In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples. Full article
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
Figures

Figure 1

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