Advances in Octahedron Sets and Its Applications

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

Deadline for manuscript submissions: closed (1 November 2024) | Viewed by 1005

Special Issue Editors


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Guest Editor
School of Big Data and Financial Statistics, Wonkwang University, Iksan-si, Republic of Korea
Interests: algebra; BCK-algebra; topology; category theory; decision making; probability theory and statistics; stochastic process

E-Mail Website
Guest Editor
Department of Applied Mathematics, Wonkwang University, Iksan-si, Republic of Korea
Interests: algebra; BCK-algebra; topology; category theory; decision making; analysis

Special Issue Information

Dear Colleagues,

A triple of an interval-valued fuzzy set, an intuitionistic fuzzy set, and a fuzzy set was introduced by the concept of Octahedron sets [respectively, IVI-Octahedron sets, where IVI means invariant visibility intervals]. Since then, numerous researchers have explored various directions, i.e., abstract algebra, topology, decision making, category theory, geometry theory, and computer science, probabilistic problems, and statistical analysis. In particular, Octahedron sets is a concept used in computer graphics and visualization to efficiently render multi-dimensional scenes and help optimize this process by representing the visibility information of objects in multiple scenes.

The purpose of this Special Issue is to reveal the various applications of the Octahedron sets in technology and science. This Special Issue introduces new concepts and extends the Octahedron sets [IVI-Octahedron sets] in various directions. Furthermore, contributed research on the Octahedron sets and their applications will serve researchers and companies interested in this topic. Finally, we invite excellent manuscripts from researchers interested in this subject.

The following topics are of interest for this Special Issue; however, there are no specific restrictions on submissions.

  • Topology and topological group;
  • Group and ring theory;
  • Geometry theory;
  • Logical algebra, for example, BCK/BCI/BCH-algebras, etc;
  • Category theory;
  • Differential equation;
  • Decision-making problem;
  • Probabilistic problems and statistical analysis;
  • The design and analysis of computer graphics;
  • The study of communication and information theory;
  • The study of complexity theory;
  • Reasoning under uncertainty.

Prof. Dr. Jong-Il Baek
Prof. Dr. Kul Hur
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 submissions that pass pre-check are 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 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 2400 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

  • topology
  • algebra
  • category theory
  • differential equation
  • probability and statistics
  • geometry objects
  • decision making
  • mathematical model
  • computer science

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Published Papers (1 paper)

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Research

25 pages, 367 KiB  
Article
New Interval-Valued Soft Separation Axioms
by Jong Il Baek, Tareq M. Al-shami, Saeid Jafari, Minseok Cheong and Kul Hur
Axioms 2024, 13(7), 493; https://doi.org/10.3390/axioms13070493 - 22 Jul 2024
Viewed by 701
Abstract
Our research’s main aim is to study two viewpoints: First, we define partial interval-valued soft T i(j)-spaces (i = 0, 1, 2, 3, 4; j = i, ii), study some of their properties and some of relationships among them, and give [...] Read more.
Our research’s main aim is to study two viewpoints: First, we define partial interval-valued soft T i(j)-spaces (i = 0, 1, 2, 3, 4; j = i, ii), study some of their properties and some of relationships among them, and give some examples. Second, we introduce the notions of partial total interval-valued soft T j(i)-spaces (i = 0, 1, 2, 3, 4; j = i, ii) and discuss some of their properties. We present some relationships among them and give some examples. Full article
(This article belongs to the Special Issue Advances in Octahedron Sets and Its Applications)
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