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Neutrosophic Information Theory and Applications
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Neutrosophic Information Theory and Applications

A special issue of Information (ISSN 2078-2489). This special issue belongs to the section "Information Theory and Methodology".

Deadline for manuscript submissions: closed (15 February 2018) | Viewed by 62149

Special Issue Editors

Prof. Dr. Florentin Smarandache

E-Mail Website
Guest Editor
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
Interests: neutrosophic probability; neutrosophic statistics; neutrosophic algebraic structures; plithogenic set; unmatter; superluminal physics; paradoxism; quantum paradoxes
Special Issues, Collections and Topics in MDPI journals
Prof. Jun Ye

E-Mail Website
Guest Editor
School of Civil and Environmental Engineering, Ningbo University, Ningbo 315211, China
Interests: soft computing; fuzzy decision theory and method; robot intelligent control; pattern recognition and fault diagnosis; neutrosophic theory; rock mechanics; engineering modeling; optimization design
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Neutrosophic logic, symbolic logic, set, probability, statistics, etc., are, respectively, generalizations of fuzzy and intuitionistic fuzzy logic and set, classical and imprecise probability, classical statistics, and so on.

Neutrosophic logic, symbol logic, and set are gaining significant attention in solving many real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. A number of new netrosophic theories have been proposed and have been applied in computational intelligence, mutiple attribute decision making, image processing, medical diagnosis, fault diagnosis, optimization design, etc.

This Special Issue invites original research papers that report on the state-of-the-art and recent advancements in neutrosophic information theory to soft computing, artificial intelligence, big and small data mining, decision making problems, pattern recognition, information processing, image processing, and many other practical achievements.

Prof. Dr. Florentin Smarandache
Prof. Jun Ye
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. Information 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 1600 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

  • Neutrosophic logic
  • Neutrosophic symbolic logic
  • Neutrosophic set
  • Neutrosophic probability
  • Neutrosophic statistics
  • Neutrosophic measure
  • Neutrosophic linguistic theory
  • Artificial intelligence
  • Neutrosophic image processing
  • Neutrosophic information processing
  • Neutrosophic decision making
  • Neutrosophic data mining
  • Neutrosophic decision support systems
  • Neutrosophic computational modelling
  • Neutrosophic medical diagnosis
  • Neutrosophic fault diagnosis

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Published Papers (13 papers)

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Editorial

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4 pages, 170 KiB  
Editorial
Summary of the Special Issue “Neutrosophic Information Theory and Applications” at “Information” Journal
by Florentin Smarandache and Jun Ye
Information 2018, 9(3), 49; https://doi.org/10.3390/info9030049 - 28 Feb 2018
Cited by 3 | Viewed by 3728
Abstract
Over a period of seven months (August 2017–February 2018), the Special Issue dedicated to “Neutrosophic Information Theory and Applications” by the “Information” journal (ISSN 2078-2489), located in Basel, Switzerland, was a success. The Guest Editors, Prof. Dr. Florentin Smarandache from the University of [...] Read more.
Over a period of seven months (August 2017–February 2018), the Special Issue dedicated to “Neutrosophic Information Theory and Applications” by the “Information” journal (ISSN 2078-2489), located in Basel, Switzerland, was a success. The Guest Editors, Prof. Dr. Florentin Smarandache from the University of New Mexico (USA) and Prof. Dr. Jun Ye from the Shaoxing University (China), were happy to select—helped by a team of neutrosophic reviewers from around the world, and by the “Information” journal editors themselves—and publish twelve important neutrosophic papers, authored by 27 authors and coauthors. There were a variety of neutrosophic topics studied and used by the authors and coauthors in Multi-Criteria (or Multi-Attribute and/or Group) Decision-Making, including Cross Entropy-Based MAGDM, Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators, Biparametric Distance Measures, Pattern Recognition and Medical Diagnosis, Intuitionistic Neutrosophic Graph, NC-TODIM-Based MAGDM, Neutrosophic Cubic Set, VIKOR Method, Neutrosophic Multiple Attribute Group Decision-Making, Competition Graphs, Intuitionistic Neutrosophic Environment, Neutrosophic Commutative N-Ideals, Neutrosophic N-Structures Applied to BCK/BCI-Algebras, Neutrosophic Similarity Score, Weighted Histogram, Robust Mean-Shift Tracking, and Linguistic Neutrosophic Cubic Numbers. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)

Research

Jump to: Editorial

21 pages, 1032 KiB  
Article
NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment
by Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Florentin Smarandache and Tapan Kumar Roy
Information 2018, 9(2), 37; https://doi.org/10.3390/info9020037 - 9 Feb 2018
Cited by 57 | Viewed by 6325
Abstract
A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, [...] Read more.
A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties. Also we define weighted NS-cross entropy measure and investigate its basic properties. We develop a novel multi-attribute group decision-making (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is capable of dealing with an unknown weight of attributes and an unknown weight of decision-makers. Finally, a numerical example of multi-attribute group decision-making problem of investment potential is solved to show the feasibility, validity and efficiency of the proposed decision-making strategy. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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19 pages, 301 KiB  
Article
Generalized Single-Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators and Their Applications to Multiple Criteria Decision-Making
by Rui Wang and Yanlai Li
Information 2018, 9(1), 10; https://doi.org/10.3390/info9010010 - 5 Jan 2018
Cited by 13 | Viewed by 4411
Abstract
Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process. This paper investigates the MCDM problems in which the criteria under [...] Read more.
Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process. This paper investigates the MCDM problems in which the criteria under SVNHF environment are in different priority levels. First, the generalized single-valued neutrosophic hesitant fuzzy prioritized weighted average operator and generalized single-valued neutrosophic hesitant fuzzy prioritized weighted geometric operator are developed based on the prioritized average operator. Second, some desirable properties and special cases of the proposed operators are discussed in detail. Third, an approach combined with the proposed operators and the score function of single-valued neutrosophic hesitant fuzzy element is constructed to solve MCDM problems. Finally, an example of investment selection is provided to illustrate the validity and rationality of the proposed method. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
807 KiB  
Article
Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis
by Harish Garg and Nancy
Information 2017, 8(4), 162; https://doi.org/10.3390/info8040162 - 15 Dec 2017
Cited by 47 | Viewed by 4698
Abstract
Single-valued neutrosophic sets (SVNSs) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, are a more flexible way to capture uncertainty. In this paper, some new types of distance measures, overcoming the shortcomings of the existing measures, for SVNSs with two [...] Read more.
Single-valued neutrosophic sets (SVNSs) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, are a more flexible way to capture uncertainty. In this paper, some new types of distance measures, overcoming the shortcomings of the existing measures, for SVNSs with two parameters are proposed along with their proofs. The various desirable relations between the proposed measures have also been derived. A comparison between the proposed and the existing measures has been performed in terms of counter-intuitive cases for showing its validity. The proposed measures have been illustrated with case studies of pattern recognition as well as medical diagnoses, along with the effect of the different parameters on the ordering of the objects. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
680 KiB  
Article
Certain Concepts in Intuitionistic Neutrosophic Graph Structures
by Muhammad Akram and Muzzamal Sitara
Information 2017, 8(4), 154; https://doi.org/10.3390/info8040154 - 25 Nov 2017
Cited by 11 | Viewed by 4978
Abstract
A graph structure is a generalization of simple graphs. Graph structures are very useful tools for the study of different domains of computational intelligence and computer science. In this research paper, we introduce certain notions of intuitionistic neutrosophic graph structures. We illustrate these [...] Read more.
A graph structure is a generalization of simple graphs. Graph structures are very useful tools for the study of different domains of computational intelligence and computer science. In this research paper, we introduce certain notions of intuitionistic neutrosophic graph structures. We illustrate these notions by several examples. We investigate some related properties of intuitionistic neutrosophic graph structures. We also present an application of intuitionistic neutrosophic graph structures. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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1647 KiB  
Article
NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment
by Surapati Pramanik, Shyamal Dalapati, Shariful Alam and Tapan Kumar Roy
Information 2017, 8(4), 149; https://doi.org/10.3390/info8040149 - 18 Nov 2017
Cited by 32 | Viewed by 4904
Abstract
A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interval neutrosophic set. A neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set [...] Read more.
A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interval neutrosophic set. A neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets has been reported in the current literature. In the present paper, we propose the score and accuracy functions for neutrosophic cubic sets and prove their basic properties. We also develop a strategy for ranking of neutrosophic cubic numbers based on the score and accuracy functions. We firstly develop a TODIM (Tomada de decisao interativa e multicritévio) in the neutrosophic cubic set (NC) environment, which we call the NC-TODIM. We establish a new NC-TODIM strategy for solving multi attribute group decision making (MAGDM) in neutrosophic cubic set environment. We illustrate the proposed NC-TODIM strategy for solving a multi attribute group decision making problem to show the applicability and effectiveness of the developed strategy. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of the attenuation factor of losses for multi-attribute group decision making strategies. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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267 KiB  
Article
VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making
by Yu-Han Huang, Gui-Wu Wei and Cun Wei
Information 2017, 8(4), 144; https://doi.org/10.3390/info8040144 - 10 Nov 2017
Cited by 56 | Viewed by 5390
Abstract
In this paper, we will extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs). Firstly, the basic concepts of INNs are briefly presented. The method first aggregates all individual decision-makers’ assessment information [...] Read more.
In this paper, we will extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs). Firstly, the basic concepts of INNs are briefly presented. The method first aggregates all individual decision-makers’ assessment information based on an interval neutrosophic weighted averaging (INWA) operator, and then employs the extended classical VIKOR method to solve MAGDM problems with INNs. The validity and stability of this method are verified by example analysis and sensitivity analysis, and its superiority is illustrated by a comparison with the existing methods. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
396 KiB  
Article
Certain Competition Graphs Based on Intuitionistic Neutrosophic Environment
by Muhammad Akram and Maryam Nasir
Information 2017, 8(4), 132; https://doi.org/10.3390/info8040132 - 24 Oct 2017
Cited by 6 | Viewed by 3411
Abstract
The concept of intuitionistic neutrosophic sets provides an additional possibility to represent imprecise, uncertain, inconsistent and incomplete information, which exists in real situations. This research article first presents the notion of intuitionistic neutrosophic competition graphs. Then, p-competition intuitionistic neutrosophic graphs and m [...] Read more.
The concept of intuitionistic neutrosophic sets provides an additional possibility to represent imprecise, uncertain, inconsistent and incomplete information, which exists in real situations. This research article first presents the notion of intuitionistic neutrosophic competition graphs. Then, p-competition intuitionistic neutrosophic graphs and m-step intuitionistic neutrosophic competition graphs are discussed. Further, applications of intuitionistic neutrosophic competition graphs in ecosystem and career competition are described. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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251 KiB  
Article
Neutrosophic Commutative N -Ideals in BCK-Algebras
by Seok-Zun Song, Florentin Smarandache and Young Bae Jun
Information 2017, 8(4), 130; https://doi.org/10.3390/info8040130 - 18 Oct 2017
Cited by 42 | Viewed by 3806
Abstract
The notion of a neutrosophic commutative N -ideal in BCK-algebras is introduced, and several properties are investigated. Relations between a neutrosophic N-ideal and a neutrosophic commutative N-ideal are discussed. Characterizations of a neutrosophic commutative N-ideal are considered. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
262 KiB  
Article
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
by Young Bae Jun, Florentin Smarandache and Hashem Bordbar
Information 2017, 8(4), 128; https://doi.org/10.3390/info8040128 - 16 Oct 2017
Cited by 61 | Viewed by 4469
Abstract
Neutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several [...] Read more.
Neutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N -subalgebra and a neutrosophic N -ideal are considered, and relations between a neutrosophic N -subalgebra and a neutrosophic N -ideal are stated. Conditions for a neutrosophic N -ideal to be a closed neutrosophic N -ideal are provided. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
292 KiB  
Article
TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making
by Dong-Sheng Xu, Cun Wei and Gui-Wu Wei
Information 2017, 8(4), 125; https://doi.org/10.3390/info8040125 - 16 Oct 2017
Cited by 64 | Viewed by 5602
Abstract
Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the [...] Read more.
Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the single-valued neutrosophic numbers (SVNNs). Firstly, the definition, comparison, and distance of SVNNs are briefly presented, and the steps of the classical TODIM method for MADM problems are introduced. Then, the extended classical TODIM method is proposed to deal with MADM problems with the SVNNs, and its significant characteristic is that it can fully consider the decision makers’ bounded rationality which is a real action in decision making. Furthermore, we extend the proposed model to interval neutrosophic sets (INSs). Finally, a numerical example is proposed. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
3361 KiB  
Article
Neutrosophic Similarity Score Based Weighted Histogram for Robust Mean-Shift Tracking
by Keli Hu, En Fan, Jun Ye, Changxing Fan, Shigen Shen and Yuzhang Gu
Information 2017, 8(4), 122; https://doi.org/10.3390/info8040122 - 2 Oct 2017
Cited by 8 | Viewed by 4601
Abstract
Visual object tracking is a critical task in computer vision. Challenging things always exist when an object needs to be tracked. For instance, background clutter is one of the most challenging problems. The mean-shift tracker is quite popular because of its efficiency and [...] Read more.
Visual object tracking is a critical task in computer vision. Challenging things always exist when an object needs to be tracked. For instance, background clutter is one of the most challenging problems. The mean-shift tracker is quite popular because of its efficiency and performance in a range of conditions. However, the challenge of background clutter also disturbs its performance. In this article, we propose a novel weighted histogram based on neutrosophic similarity score to help the mean-shift tracker discriminate the target from the background. Neutrosophic set (NS) is a new branch of philosophy for dealing with incomplete, indeterminate, and inconsistent information. In this paper, we utilize the single valued neutrosophic set (SVNS), which is a subclass of NS to improve the mean-shift tracker. First, two kinds of criteria are considered as the object feature similarity and the background feature similarity, and each bin of the weight histogram is represented in the SVNS domain via three membership functions T(Truth), I(indeterminacy), and F(Falsity). Second, the neutrosophic similarity score function is introduced to fuse those two criteria and to build the final weight histogram. Finally, a novel neutrosophic weighted mean-shift tracker is proposed. The proposed tracker is compared with several mean-shift based trackers on a dataset of 61 public sequences. The results revealed that our method outperforms other trackers, especially when confronting background clutter. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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263 KiB  
Article
Linguistic Neutrosophic Cubic Numbers and Their Multiple Attribute Decision-Making Method
by Jun Ye
Information 2017, 8(3), 110; https://doi.org/10.3390/info8030110 - 8 Sep 2017
Cited by 41 | Viewed by 4602
Abstract
To describe both certain linguistic neutrosophic information and uncertain linguistic neutrosophic information simultaneously in the real world, this paper originally proposes the concept of a linguistic neutrosophic cubic number (LNCN), including an internal LNCN and external LNCN. In LNCN, its uncertain linguistic neutrosophic [...] Read more.
To describe both certain linguistic neutrosophic information and uncertain linguistic neutrosophic information simultaneously in the real world, this paper originally proposes the concept of a linguistic neutrosophic cubic number (LNCN), including an internal LNCN and external LNCN. In LNCN, its uncertain linguistic neutrosophic number consists of the truth, indeterminacy, and falsity uncertain linguistic variables, and its linguistic neutrosophic number consists of the truth, indeterminacy, and falsity linguistic variables to express their hybrid information. Then, we present the operational laws of LNCNs and the score, accuracy, and certain functions of LNCN for comparing/ranking LNCNs. Next, we propose a LNCN weighted arithmetic averaging (LNCNWAA) operator and a LNCN weighted geometric averaging (LNCNWGA) operator to aggregate linguistic neutrosophic cubic information and discuss their properties. Further, a multiple attribute decision-making method based on the LNCNWAA or LNCNWGA operator is developed under a linguistic neutrosophic cubic environment. Finally, an illustrative example is provided to indicate the application of the developed method. Full article
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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