Special Issue "Neutrosophic Topology"

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 30 January 2019

Special Issue Editors

Guest Editor
Prof. Dr. Florentin Smarandache

University of New Mexico, 705 Gurley Ave., Gallup, New Mexico 87301, USA
Website | E-Mail
Interests: artificial intelligence; quantum physics; number theory; statistics; algebraic structures
Guest Editor
Prof. Dr. Saeid Jafari

College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
Website | E-Mail
Interests: mathematical analysis; pure mathematics; functional analysis; topology; discrete mathematics; geometry; differential equations; graph theory; real analysis; real and complex analysis; strings, gauge theory and quantum gravity
Guest Editor
Prof. Dr. Francisco Gallego Lupiaňez

Department of Mathematics, Universidad Complutense, 28040 Madrid, Spain
Website | E-Mail
Interests: general topology; fuzzy topology

Special Issue Information

Dear Colleagues,

Neutrosophic sets are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. As a consequence topological ideas have been defined and studied on neutrosophic sets, giving birth to Neutrosophic Topology.

Neutrosophic logic, set, probability, statistics, etc., are, respectively, generalizations of fuzzy and intuitionistic fuzzy logic and set, classical and imprecise probability, and classical statistics and so on. For more information see the University of New Mexico website:

http://fs.gallup.unm.edu/neutrosophy.htm

We invite you to contribute papers on neutrosophic topologies and their applications to this Special Issue of the international journal Axioms, which is a Scopus and ESCI journal.

Prof. Dr. Florentin Smarandache
Prof. Dr. Saeid Jafari
Prof. Dr. Francisco Gallego Lupiaňez
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. Axioms is an international peer-reviewed open access quarterly 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 350 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.

Keywords

  • Basic notions and fundamental properties in neutrosophic topological spaces
  • Basic notions and fundamental properties in neutrosophic minimal topological spaces
  • Basic notions and fundamental properties in neutrosophic ideal topological spaces
  • Basic notions and fundamental properties in neutrosophic ideal minimal topological spaces
  • Basic notions and fundamental properties in different types of neutrosophic bitopological spaces
  • Neutrosophic soft sets
  • Neutrosophic rough sets
  • Neutrosophic multifunctions
  • Applications of neutrosophic topologies in various fields

Published Papers (2 papers)

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Research

Open AccessArticle Neutrosophic Triplet v-Generalized Metric Space
Received: 2 August 2018 / Revised: 26 August 2018 / Accepted: 2 September 2018 / Published: 6 September 2018
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Abstract
The notion of Neutrosophic triplet (NT) is a new theory in Neutrosophy. Also, the v-generalized metric is a specific form of the classical metrics. In this study, we introduced the notion of neutrosophic triplet v-generalized metric space (NTVGM), and we obtained
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The notion of Neutrosophic triplet (NT) is a new theory in Neutrosophy. Also, the v-generalized metric is a specific form of the classical metrics. In this study, we introduced the notion of neutrosophic triplet v-generalized metric space (NTVGM), and we obtained properties of NTVGM. Also, we showed that NTVGM is different from the classical metric and neutrosophic triplet metric (NTM). Furthermore, we introduced completeness of NTVGM. Full article
(This article belongs to the Special Issue Neutrosophic Topology)
Open AccessArticle Relations between the Complex Neutrosophic Sets with Their Applications in Decision Making
Received: 23 July 2018 / Revised: 20 August 2018 / Accepted: 24 August 2018 / Published: 1 September 2018
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Abstract
The basic aim of soft computing is to trade precision for a tractableness and reduction in solution cost by pushing the limits of tolerance for imprecision and uncertainty. This paper introduces a novel soft computing technique called complex neutrosophic relation (CNR) to evaluate
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The basic aim of soft computing is to trade precision for a tractableness and reduction in solution cost by pushing the limits of tolerance for imprecision and uncertainty. This paper introduces a novel soft computing technique called complex neutrosophic relation (CNR) to evaluate the degree of interaction between two complex neutrosophic sets (CNSs). CNSs are used to represent two-dimensional information that are imprecise, uncertain, incomplete and indeterminate. The Cartesian product of CNSs and subsequently the complex neutrosophic relation is formally defined. This relation is generalised from a conventional single valued neutrosophic relation (SVNR), based on CNSs, where the ranges of values of CNR are extended to the unit circle in complex plane for its membership functions instead of [0, 1] as in the conventional SVNR. A new algorithm is created using a comparison matrix of the SVNR after mapping the complex membership functions from complex space to the real space. This algorithm is then applied to scrutinise the impact of some teaching strategies on the student performance and the time frame(phase) of the interaction between these two variables. The notion of inverse, complement and composition of CNRs along with some related theorems and properties are introduced. The performance and utility of the composition concept in real-life situations is also demonstrated. Then, we define the concepts of projection and cylindric extension for CNRs along with illustrative examples. Some interesting properties are also obtained. Finally, a comparison between different existing relations and CNR to show the ascendancy of our proposed CNR is provided. Full article
(This article belongs to the Special Issue Neutrosophic Topology)
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