Log in

Relevant bibliographies by topics / Neutrosophic Relations / Journal articles

To see the other types of publications on this topic, follow the link: Neutrosophic Relations.

Journal articles on the topic 'Neutrosophic Relations'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Neutrosophic Relations.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Saber, Yaser, Fahad Alsharari, and Florentin Smarandache. "On Single-Valued Neutrosophic Ideals in Šostak Sense." Symmetry 12, no. 2 (2020): 193. http://dx.doi.org/10.3390/sym12020193.

Full text

Abstract:

Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, espe

APA, Harvard, Vancouver, ISO, and other styles

2

Arockiarani and Martina Jency. "FUZZY NEUTROSOPHIC RELATIONS." International Journal of Research -GRANTHAALAYAH 4, no. 2 (2016): 17–30. http://dx.doi.org/10.29121/granthaalayah.v4.i2.2016.2808.

Full text

Abstract:

The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and t-conorms and characterize their properties.

APA, Harvard, Vancouver, ISO, and other styles

3

Arockiarani and Martina Jency J. "FUZZY NEUTROSOPHIC RELATIONS." International Journal of Research – Granthaalayah 4, no. 2 (2017): 17–30. https://doi.org/10.5281/zenodo.848054.

Full text

Abstract:

The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and tconorms and characterize their properties.

APA, Harvard, Vancouver, ISO, and other styles

4

Geethanjali, P. "Some Structures of Neutrosophic Fuzzy Relations over Neutrosophic Fuzzy Sets." International Journal for Research in Applied Science and Engineering Technology 12, no. 3 (2024): 547–53. http://dx.doi.org/10.22214/ijraset.2024.58868.

Full text

Abstract:

Abstract: Neutrosophic fuzzy relations are crucial in real-world situations when uncertainties exist regarding the truth, indeterminacy, and falsity membership degrees of an element. The topic is attracting a lot of attention from academics these days since it makes use of neutrosophic fuzzy relations, which facilitate and expedite decision-making. For instance, neutrosophic fuzzy relations over neutrosophic fuzzy sets are defined in this paper. The neutrosophic fuzzy relations over neutrosophic fuzzy sets are characterized in terms of several features. Finally, a few properties of the fuzzy r

APA, Harvard, Vancouver, ISO, and other styles

5

Al-Odhari, Adel. "Some Results of Neutrosophic Relations for Neutrosophic Set Theory." Neutrosophic Knowledge 5 (November 14, 2024): 76–86. https://doi.org/10.5281/zenodo.14181753.

Full text

Abstract:

<strong>Abstract:</strong> Nearly thirty years ago, the science of Neutrosophic appeared at the hands of the scientist Smarandache, who generalized the concept of the intuitionistic set to the neutrosophic set and the intuitionistic logic into the neutrosophic logic according to the degree of membership functions truth, indeterminacy, and falsehood respectively. Moreover, he presented the neutrosophic structure of a set when he studied the structure of neutrosophic algebra with other scholars in their works neutrosophic groups, and neutrosophic rings. Later, a few scholars who take the concept

APA, Harvard, Vancouver, ISO, and other styles

6

Mohammed Abed, Majid, Dunia Alawi Jarwan, and Marrwa Abdallah Salih. "On Neutrosophic Relations in Group Theory." International Journal of Mathematics, Statistics, and Computer Science 1 (May 9, 2023): 48–52. http://dx.doi.org/10.59543/ijmscs.v1i.7739.

Full text

Abstract:

In this paper, we study neutrosophic of some triple relations or neutrosophic triple set (NTS) and related to the homomorphism groups. Various properties like equivalent relation, product, intersection and the union are studied. We showed several equivalent relations in group theory with new examples about neutrosophic homomorphism. Finally, some definitions, examples and other remarks of neutrosophic of these relations are given.

APA, Harvard, Vancouver, ISO, and other styles

7

P. Agarwal, Ravi, Soheyb Milles, Brahim Ziane, Abdelaziz Mennouni, and Lemnaouar Zedam. "Ideals and Filters on Neutrosophic Topologies Generated by Neutrosophic Relations." Axioms 13, no. 5 (2024): 292. http://dx.doi.org/10.3390/axioms13050292.

Full text

Abstract:

Recently, Milles and Hammami presented and studied the concept of a neutrosophic topology generated by a neutrosophic relation. As a continuation in the same direction, this paper studies the concepts of neutrosophic ideals and neutrosophic filters on that topology. More precisely, we offer the lattice structure of neutrosophic open sets of a neutrosophic topology generated via a neutrosophic relation and examine its different characteristics. Furthermore, we enlarge to this lattice structure the notions of ideals (respectively, filters) and characterize them with regard to the lattice operati

APA, Harvard, Vancouver, ISO, and other styles

8

Jun Hui Kim, Jeonggon Lee, Kul Hur, and 임평기. "Single valued neutrosophic relations." ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16, no. 2 (2018): 201–21. http://dx.doi.org/10.30948/afmi.2018.16.2.201.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

.., M. Abdallah, D. Alawi Jarwan, and M. Mohammed Abed. "n-Refined Indeterminacy of Some Modules." International Journal of Neutrosophic Science 20, no. 2 (2023): 20–26. http://dx.doi.org/10.54216/ijns.200202.

Full text

Abstract:

This article presents the notion of n-refined neutrosophic modules such as cyclic, simple, and finitely generated modules. n-refined neutrosophic is a generalization of neutrosophic properties. This paper presents new relations among n-refined neutrosophic modules. Finally, several examples and properties have been studied about the relations between these modules.

APA, Harvard, Vancouver, ISO, and other styles

10

Abdulkadhim, Murtadha M., Qays Hatem Imran, Ali H. M. Al Al-Obaidi та Said Broumi. "Neutrosophic Crisp Generalized αg-Continuous Functions". Journal of Neutrosophic and Fuzzy Systems 6, № 2 (2023): 08–14. http://dx.doi.org/10.54216/jnfs.060201.

Full text

Abstract:

This paper provided new concepts of neutrosophic crisp continuous functions named neutrosophic crisp αg-continuous, neutrosophic crisp gα-continuous, neutrosophic crisp gαg-continuous, neutrosophic crisp gαg*-continuous and neutrosophic crisp gαg(**)-continuous functions and their relations.

APA, Harvard, Vancouver, ISO, and other styles

11

Rajaei, A., and M. Shirvani Bourojeni. "MBJ-Neutrosophic Sets: Expanding on Internal and External Relations." Journal of Algebraic Hyperstructures and Logical Algebras 6, no. 1 (2025): 75–90. https://doi.org/10.61838/kman.jahla.6.1.6.

Full text

Abstract:

This paper presents a comprehensive study of internal and external MBJ-neutrosophic sets, detailing their definitions, properties, and potential applications. By Initially introducing foundational concepts, including interval numbers and neutrosophic sets, the paper explores the MBJ-neutrosophic framework, which integrates truth, indeterminate, and false membership functions. We categorize MBJ-neutrosophic sets into internal and external types according to specific membership conditions, presenting a series of propositions and theorems that clarify the relationships among different MBJ-neutros

APA, Harvard, Vancouver, ISO, and other styles

12

Aiyared, Aiyared, Pongpun Julatha, Rukchart Prasertpong, and Aiyared Iampan. "Neutrosophic sets in IUP-algebras: a new exploration." International Journal of Neutrosophic Science 25, no. 3 (2025): 540–60. http://dx.doi.org/10.54216/ijns.250343.

Full text

Abstract:

The notions of neutrosophic IUP-subalgebras, neutrosophic IUP-ideals, neutrosophic IUP-filters, and neutrosophic strong IUP-ideals of IUP-algebras are introduced, and their basic properties are investigated. Conditions for neutrosophic sets to be neutrosophic IUP-subalgebras, neutrosophic IUP-ideals, neutrosophic IUPfilters, and neutrosophic strong IUP-ideals of IUP-algebras are provided. Relations between neutrosophic IUP-subalgebras (resp., neutrosophic IUP-ideals, neutrosophic IUP-filters, neutrosophic strong IUP-ideals) and their level subsets are considered.

APA, Harvard, Vancouver, ISO, and other styles

13

Songsaeng, Metawee, and Aiyared Iampan. "Neutrosophic Set Theory Applied to UP-Algebras." European Journal of Pure and Applied Mathematics 12, no. 4 (2019): 1382–409. http://dx.doi.org/10.29020/nybg.ejpam.v12i4.3543.

Full text

Abstract:

The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, neutrosophic strongly UP

APA, Harvard, Vancouver, ISO, and other styles

14

Yang, Hai-Long, Zhi-Lian Guo, Yanhong She, and Xiuwu Liao. "On single valued neutrosophic relations." Journal of Intelligent & Fuzzy Systems 30, no. 2 (2016): 1045–56. http://dx.doi.org/10.3233/ifs-151827.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Vadivel, A., та C. John Sundar. "New Operators Using Neutrosophic δ-Open Set". Journal of Neutrosophic and Fuzzy Systems 1, № 2 (2021): 61–70. http://dx.doi.org/10.54216/jnfs.010202.

Full text

Abstract:

In this paper, we introduce some new operators called neutrosophic δ frontier, neutrosophic δ border and neutrosophic δ exterior with the help of neutrosophic δ-open sets in neutrosophic topological space. Also, we discuss the important properties of them and the relations between them.

APA, Harvard, Vancouver, ISO, and other styles

16

Aiyared, Aiyared, C. Sivakumar, and Neelamegarajan Rajesh. "Neutrosophic subgroups and neutrosophic normal subgroups of groups." International Journal of Neutrosophic Science 26, no. 1 (2025): 283–92. https://doi.org/10.54216/ijns.260124.

Full text

Abstract:

In this paper, we introduce the concepts of neutrosophic subgroups and neutrosophic normal subgroups of groups and investigate several properties. We investigate relations between neutrosophic subgroups (neutrosophic normal subgroups) and their neutrosophic level subsets of a group. We also look at the homomorphic image and inverse image of the neutrosophic subgroups and neutrosophic normal subgroups of groups, as well as some related properties.

APA, Harvard, Vancouver, ISO, and other styles

17

Al-Hamido, Riad K. Al. "New Operators Using Neutrosophic Crisp Open Set." International Journal of Neutrosophic Science 20, no. 1 (2023): 17–26. http://dx.doi.org/10.54216/ijns.200102.

Full text

Abstract:

In this paper, we introduce new sets in neutrosophic crisp topology called neutrosophic crisp frontier, neutrosophic crisp border and neutrosophic crisp exterior with the help of neutrosophic crisp open sets in neutrosophic crisp topological space. Also, we discuss the basic and important properties of them and the relations between them. Finally, many examples are presented.

APA, Harvard, Vancouver, ISO, and other styles

18

Abu-Saleem, M. "A neutrosophic folding and retraction on a single-valued neutrosophic graph." Journal of Intelligent & Fuzzy Systems 40, no. 3 (2021): 5207–13. http://dx.doi.org/10.3233/jifs-201957.

Full text

Abstract:

The main aim of this article is to present neutrosophic folding and neutrosophic retractions on a single-valued neutrosophic graph Ğ from the viewpoint of geometry and topology. For this reason, we use a sequence of neutrosophic transformations on Ğ to obtain a new single-valued neutrosophic graph G ˇ 1 which contains different parameters under new conditions. We deduce the isometric neutrosophic folding on neutrosophic spheres and neutrosophic torii. Also, we determine the relationship between the limit neutrosophic folding and the limit of neutrosophic retraction on Ğ. Theorems regulating th

APA, Harvard, Vancouver, ISO, and other styles

19

admin, admin, P. Maragatha Meenakshi, Aiyared Iampan, and N. Rajesh. "Neutrosophic nil radicals of neutrosophic ideals in rings." International Journal of Neutrosophic Science 22, no. 4 (2023): 82–92. http://dx.doi.org/10.54216/ijns.220407.

Full text

Abstract:

The notion of neutrosophic nil radicals of neutrosophic ideals in rings is introduced, and related properties are investigated. In addition, we study some relations between the nil radical of the neutrosophic polynomial ideal of the polynomial ring R[x] induced by a neutrosophic ideal of a ring R and the nil radical of a neutrosophic ideal of R. Finally, we find the result of neutrosophic nil radicals of neutrosophic ideals from the epimorphism of rings.

APA, Harvard, Vancouver, ISO, and other styles

20

Revathi, P., K. Chitirakala, and A. Vadivel. "Soft e-Separation Axioms in Neutrosophic soft Topological Spaces." Journal of Physics: Conference Series 2070, no. 1 (2021): 012028. http://dx.doi.org/10.1088/1742-6596/2070/1/012028.

Full text

Abstract:

Abstract In this paper, the idea of neutrosophic soft e-neighbourhood and neutrosophic soft e-separation axioms in neutrosophic soft topological spaces are introduces. Later, we discussed about the concept of neutrosophic soft e-separation axioms of neutrosophic soft topological spaces is diffused in different results with respect to neutrosophic soft points. Furthermore, we discuss the properties of neutrosophic soft e-Ti-spaces (i = 0,1, 2, 3,4) and the relations between them.

APA, Harvard, Vancouver, ISO, and other styles

21

Yang, Hai-Long, Yan-Ling Bao, and Zhi-Lian Guo. "Generalized interval neutrosophic rough sets and its application in multi-attribute decision making." Filomat 32, no. 1 (2018): 11–33. http://dx.doi.org/10.2298/fil1801011y.

Full text

Abstract:

Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues. In this paper, we put forward generalized interval neutrosophic rough sets based on interval neutrosophic relations by combining interval neutrosophic sets with rough sets. We explore the hybrid model through constructive approach as well as axiomatic approach.

APA, Harvard, Vancouver, ISO, and other styles

22

Al-Omeri, Wadei, and Saeid Jafari. "On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces." Mathematics 7, no. 1 (2018): 1. http://dx.doi.org/10.3390/math7010001.

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 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 ar

APA, Harvard, Vancouver, ISO, and other styles

23

Carlos, Granados, Osu Bright O. та Das Birojit. "Neutrosophic Y-Cesàro summability of a sequence of order α, of neutrosophic random variables in probability". Annals of the University of Craiova Mathematics and Computer Science Series 50, № 2 (2023): 362–70. http://dx.doi.org/10.52846/ami.v50i2.1718.

Full text

Abstract:

In this paper, we define the notions of neutrosophic $ \mathfrak{Y} $-Ces\`aro summability of a sequence of order $ \alpha $, neutrosophic $ \mathfrak{Y} $-lacunary statistical convergence of order $ \alpha $, neutrosophic strongly $ \mathfrak{Y} $-lacunary statistical convergence of order $ \alpha $ and neutrosophic strongly $ \mathfrak{Y} $-Ces\`aro summability of order $ \alpha $ in neutrosophic probability. Besides, we prove some relations among them.

APA, Harvard, Vancouver, ISO, and other styles

24

Alsubie, Abdelaziz, Anas Al-Masarwah, Young Bae Jun, and Abd Ghafur Ahmad. "An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras." Journal of Mathematics 2021 (May 24, 2021): 1–10. http://dx.doi.org/10.1155/2021/5552060.

Full text

Abstract:

In this article, a new idea of BMBJ-neutrosophic hyper-BCK-algebras is introduced and some of its properties are investigated. Here, BMBJ-neutrosophic hyper-BCK-ideal, BMBJ-neutrosophic weak hyper-BCK-ideal, BMBJ-neutrosophic s-weak hyper-BCK-ideal, and BMBJ-neutrosophic strong hyper-BCK-ideal are presented, and some relevant results and relations are indicated. Characterizations of BMBJ-neutrosophic (weak, s-weak, strong) hyper-BCK-ideal are considered. Conditions for a BMBJ-neutrosophic weak hyper-BCK-ideal to be a BMBJ-neutrosophic s-weak hyper-BCK-ideal are provided. Conditions for an MBJ-

APA, Harvard, Vancouver, ISO, and other styles

25

Muhiuddin, G., Seon Jeong Kim та Young Bae Jun. "Implicative 𝒩-ideals of BCK-algebras based on neutrosophic 𝒩-structures". Discrete Mathematics, Algorithms and Applications 11, № 01 (2019): 1950011. http://dx.doi.org/10.1142/s1793830919500113.

Full text

Abstract:

In the present paper, we introduce the concept of neutrosophic implicative [Formula: see text]-ideal in [Formula: see text]-algebras, and investigate several properties. Also, we provide characterizations of the neutrosophic implicative [Formula: see text]-ideal. Furthermore, we discuss relations between neutrosophic positive implicative [Formula: see text]-ideal, neutrosophic commutative [Formula: see text]-ideal and neutrosophic implicative [Formula: see text]-ideal. Finally, we characterize implicative [Formula: see text]-algebra by using neutrosophic implicative [Formula: see text]-ideal.

APA, Harvard, Vancouver, ISO, and other styles

26

Iampan, Aiyared, N. Rajesh, and B. Brundha. "Neutrosophic set theory applied to Hilbert algebras Aiyared Iampan1∗,." International Journal of Neutrosophic Science 21, no. 4 (2023): 84–93. http://dx.doi.org/10.54216/ijns.210409.

Full text

Abstract:

In this paper, the notions of neutrosophic subalgebras, neutrosophic ideals, and neutrosophic deductive systems of Hilbert algebras are introduced, and some related properties are investigated. Relations between the notions are given. Finally, we study the properties of homomorphism of Hilbert algebras.

APA, Harvard, Vancouver, ISO, and other styles

27

Ali, Tunis M., and Fatimah M. Mohammed. "Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 18, no. 4 (2022): 147–82. http://dx.doi.org/10.54216/ijns.180416.

Full text

Abstract:

Our purpose in this paper, is to introduce some of new continuous functions, called fuzzy neutrosophic perfectly continuous, fuzzy neutrosophic almost perfectly continuous and fuzzy neutrosophic strongly continuous in the fuzzy neutrosophic topological spaces. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined functions.

APA, Harvard, Vancouver, ISO, and other styles

28

Salama, A. A., and Elghawalby Hewayda. "Neutrosophic Crisp Set & Neutrosophic Crisp relations." July 1, 2015. https://doi.org/10.5281/zenodo.22579.

Full text

Abstract:

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The purpose of this paper is to introduce a new type of neutrosophic crisp set as the *- neutrosophic crisp sets as a generalization to star intuitionistic set due to Indira et al.[4 ], and study some of its properties. Finally we introduce and study the notion of *- neutrosophic relation and some of its properties. .

APA, Harvard, Vancouver, ISO, and other styles

29

Hashem, Bordba, Long Xin Xiao, Ali Borzooei Rajab, and Bae Jun Young. "Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows." February 11, 2022. https://doi.org/10.5281/zenodo.6041290.

Full text

Abstract:

Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, ”A” in relation to its opposite, ”Anti-A” and that which is not A, ”Non-A”, and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. In this article,

APA, Harvard, Vancouver, ISO, and other styles

30

A., A. Salama, Eisa Mohamed, and M. Abdelmoghny M. "Neutrosophic Relations Database." March 6, 2014. https://doi.org/10.5281/zenodo.23152.

Full text

Abstract:

In this paper we introduce and study new types of neutrosophic concepts normal neutrosophic set, convex neutrosophic set". Added to we investigate a neutrosophic relations, and neutrosophic database (NDB). Finaly we study some neutrosophic queries on a neutrosophic database.

APA, Harvard, Vancouver, ISO, and other styles

31

Haibin, Wang Yan-Qing Zhang Member IEEE Rajshekhar Sunderraman. "Truth-Value Based Interval Neutrosophic Sets." December 6, 2014. https://doi.org/10.5281/zenodo.34917.

Full text

Abstract:

Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it truth-value based interval neutrosophic set. We provide various properties of truth-value based interval neutrosophic sets, which are connected to the operations

APA, Harvard, Vancouver, ISO, and other styles

32

Haibin, Wang, Madiraju Praveen, Zhang Yanqing, and Sunderraman Rajshekhar. "Interval Neutrosophic Sets." September 7, 2014. https://doi.org/10.5281/zenodo.32260.

Full text

Abstract:

Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it interval neutrosophic set (INS).We prove various properties of INS, which are connected to the operations and relations over INS. Fi

APA, Harvard, Vancouver, ISO, and other styles

33

Irfan, Deli, and Broumi Said. "Neutrosophic soft relations and some properties." September 13, 2014. https://doi.org/10.5281/zenodo.23153.

Full text

Abstract:

In this work, we rst de ne a relation on neutrosophic soft sets which allows to compose two neutrosophic soft sets. It is devised to derive useful information through the composition of two neutrosophic soft sets. Then, we examine symmetric, transitive and reflexive neutrosophic soft relations and many related concepts such as equivalent neutrosophic soft set relation, partition of neutrosophic soft sets, equivalence classes, quotient neutrosophic soft sets, neutrosophic soft composition are given and their propositions are discussed. Finally a decision making method on neu

APA, Harvard, Vancouver, ISO, and other styles

34

Xiao, Long Xin, Bordbar Hashem, Smarandache Florentin, Ali Borzooei Rajab, and Bae Jun Young. "Implicative falling neutrosophic ideals of BCK-algebras." February 18, 2021. https://doi.org/10.5281/zenodo.4549396.

Full text

Abstract:

The notions of an implicative (∈, ∈)-neutrosophic ideal and an implicative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of an implicative (∈, ∈)-neutrosophic ideal are considered, and relations between an implicative (∈, ∈)-neutrosophic ideal and an (∈, ∈)-neutrosophic ideal are discussed. Conditions for an (∈, ∈)-neutrosophic ideal to be an implicative (∈, ∈)-neutrosophic ideal are provided, and relations between an implicative (∈, ∈)-neutrosophic ideal, a falling neu

APA, Harvard, Vancouver, ISO, and other styles

35

HEWAYDA, ELGHAWALBY, and A. SALAMA A. "Ultra neutrosophic crisp sets and relations." December 10, 2016. https://doi.org/10.5281/zenodo.200102.

Full text

Abstract:

In this paper we present a new neutrosophic crisp family generated from the three components’ neutrosophic crisp sets presented by Salama [4]. The idea behind Salam’s neutrosophic crisp set was to classify the elements of a universe of discourse with respect to an event ”A” into three classes: one class contains those elements that are fully supportive to A, another class contains those elements that totally against A, and a third class for those elements that stand in a distance from being with or against A. Our aim here is to study the elements of the universe of discourse which their existe

APA, Harvard, Vancouver, ISO, and other styles

36

Hai-Long, Yang, Guo Zhi-Lian, and Liao Xiuwu. "On single valued neutrosophic relations." October 6, 2014. https://doi.org/10.5281/zenodo.23170.

Full text

Abstract:

Smarandache initiated neutrosophic sets (NSs) which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. In order to apply NSs conveniently, single valued neutrosophic sets (SVNSs) were proposed by Wang et al. In this paper, we propose single valued neutrosophic relations (SVNRs) and study their properties. The notions of anti-reflexive kernel, symmetric kernel, reflexive closure, and symmetric closure of a SVNR are introduced, respectively. Their accurate calculate formulas and some properties are explored. Finally, single va

APA, Harvard, Vancouver, ISO, and other styles

37

Salama, A. A., and Hewayda ElGhawalby. "Neutrosophic Crisp Set & relations." Neutrosophic Sets and Systems 6, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571501.

Full text

Abstract:

In a world full of indeterminacy, traditional crisp set with its boundaries of truth and false has not infused itself with the ability of reflecting the reality. Therefore, neutrosophic found its place into contemporary research as an alternative representation of the real world. In this paper, we aim to develop a new type of neutrosophic crisp sets called the *-Neutrosophic crisp sets as a generalization of the star intuitionistic set introduced by Indira et al.[4] , and hence studying some of its properties. To this end we will investigate the notion of *-Neutrosophic relation and some of it

APA, Harvard, Vancouver, ISO, and other styles

38

J., H. Kim, K. Lim P., G. Lee J., and Hur K. "Single valued neutrosophic relations." June 24, 2018. https://doi.org/10.5281/zenodo.1413899.

Full text

Abstract:

We introduce the concept of a single valued neutrosophic reflexive, symmetric and transitive relation. And we study single valued neutrosophic analogues of many results concerning relationships between ordinary reflexive, symmetric and transitive relations.

APA, Harvard, Vancouver, ISO, and other styles

39

A.A.Salama, A. A., Hewayda ElGhawalby, and A. M. A.M.Nasr. "On Neutrosophic Crisp Relations." International Journal of Neutrosophic Science, 2019, 35–46. http://dx.doi.org/10.54216/ijns.000104.

Full text

Abstract:

The aim of this paper is to introduce a new types of neutrosophic crisp relations as a generalization to intuitionistic relations due to Indira et al.[9], and study some of its properties. Finally, the concepts of the star and retract neutrosophic relations are introduces and studied and some properties of these concepts will be investigated.

APA, Harvard, Vancouver, ISO, and other styles

40

Salama, A. A., Hewayda ElGhawalby, and A. M. Nasr. "On Neutrosophic Crisp Relations." International Journal of Neutrosophic Science 0 / 2019 (December 1, 2019). https://doi.org/10.5281/zenodo.4019005.

Full text

Abstract:

The aim of this paper is to introduce a new types of neutrosophic crisp relations as a generalization to intuitionistic relations due to Indira et al. [9], and study some of its properties. Finally, the concepts of the star and retract neutrosophic relations are introduces and studied and some properties of these concepts will be investigated.

APA, Harvard, Vancouver, ISO, and other styles

41

Henry, Garrett. "Relations and Notions amid Hamiltonicity and Eulerian Notions in Some Classes of Neutrosophic Graphs." April 8, 2022. https://doi.org/10.13140/RG.2.2.35579.59689.

Full text

Abstract:

New setting is introduced to study Eulerian(Hamiltonian) neutrosophic path and n-Eulerian(Hamiltonian) neutrosophic path arising from finding and counting longest neutrosophic paths containing all edges (vertices) once. Forming neutrosophic paths from a sequence of consecutive edges (vertices) once, is key type of approach to have these notions namely Eulerian(Hamiltonian) neutrosophic path and n-Eulerian(Hamiltonian) neutrosophic path arising from finding and counting longest neutrosophic paths containing all edges (vertices) once. One number and one sequence are obtained but now both setting

APA, Harvard, Vancouver, ISO, and other styles

42

Said, Broumi, Deli Irfan, and Smarandache Florentin. "Neutrosophic Refined Relations and Their Properties." July 2, 2015. https://doi.org/10.5281/zenodo.30229.

Full text

Abstract:

In this paper, the neutrosophic re ned relation (NRR) de ned on the neutrosophic re ned sets( multisets) [13] is introduced. Various properties like reflexivity, symmetry and transitivity are studied.

APA, Harvard, Vancouver, ISO, and other styles

43

Bui, Cong Cuong, Hong Phong Pham, and Florentin Smarandache. "Standard Neutrosophic Soft Theory: Some First Results." Neutrosophic Sets and Systems 12, 2016 (June 15, 2016). https://doi.org/10.5281/zenodo.571149.

Full text

Abstract:

The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper, the notion of neutrosophic soft set is reanalysed. The novel theory is a combination of neutrosophic set theory and soft set theory. The complement, “and”, “or”, intersection and union operations are defined on the neutrosophic soft sets. The neutrosophic soft relations accompanied with their compositions are also defined. The basic propert

APA, Harvard, Vancouver, ISO, and other styles

44

Monoranjan, Bhowmik, and Pal Madhumangal. "Intuitionistic Neutrosophic Set Relations and Some of Its Properties." May 12, 2010. https://doi.org/10.5281/zenodo.23136.

Full text

Abstract:

In this paper, we define intuitionistic neutrosophic set (INSs). In fact, all INSs are neutrosophic set but all neutrosophic sets are not INSs. We have shown by means of example that the definition for neutrosophic sets the complement and union are not true for INSs also give new definition of complement, union and intersection of INSs. We define the relation of INSs and four special type of INSs relations. Finally we have studied some properties of INSs relations.

APA, Harvard, Vancouver, ISO, and other styles

45

M., Mohseni Takallo, Bordbar Hashem, and Bae Jun Young. "BMBJ-neutrosophic ideals in BCK/BCI-algebras." July 9, 2019. https://doi.org/10.5281/zenodo.3275167.

Full text

Abstract:

The concepts of a BMBJ-neutrosophic -subalgebra and a (closed) BMBJ-neutrosophic ideal are introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a BMBJ-neutrosophic ideal in BCK/BCI-algebras are provided. Characterizations of BMBJ-neutrosophic ideal are discussed. Relations between a BMBJ-neutrosophic subalgebra, a BMBJ-neutrosophic -subalgebra and a (closed) BMBJ-neutrosophic ideal are considered.

APA, Harvard, Vancouver, ISO, and other styles

46

G.R., Rezaei, Jun Y.B., and Borzooei R.A. "Neutrosophic quadruple a-ideals." February 5, 2020. https://doi.org/10.5281/zenodo.3640684.

Full text

Abstract:

The notion of neutrosophic quadruple a-ideal is introduced, and related properties are investigated. Relations between a neutrosophic quadruple p-ideal, a neutrosophic quadruple q-ideal, a neutrosophic quadruple a-ideal and a neutrosophic quadruple closed ideal are discussed. Conditions for the neutrosophic quadruple (A;B)-set Nq(A;B) to be a neutrosophic quadruple a-ideal are provided.

APA, Harvard, Vancouver, ISO, and other styles

47

Madeleine, Al Tahan, Davvaz Bijan, Smarandache Florentin, and Al-Kaseasbeh Saba. "Fundamental group and complete parts of Neutrosophic Quadruple H∗ v -groups." January 14, 2023. https://doi.org/10.5281/zenodo.7535977.

Full text

Abstract:

It is well known that H&lowast; v -groups and groups are connected through regular relations. The purpose of this paper is to find a similar connection between neutrosophic H&lowast; v -groups and neutrosophic groups by using the concept of fundamental relations on Hv-groups. First, we characterize the complete parts of neutrosophic Hv-groups. Then we study their (strongly) regular relations. Finally, we find their fundamental group.

APA, Harvard, Vancouver, ISO, and other styles

48

Henry, Garrett. "New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph." February 21, 2023. https://doi.org/10.13140/RG.2.2.34106.47047.

Full text

Abstract:

“#163 Article” Henry Garrett, “New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34106.47047). @ResearchGate: https://www.researchgate.net/publication/368686111 @Scribd: https://www.scribd.com/document/627159268   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnu

APA, Harvard, Vancouver, ISO, and other styles

49

Agboola, A.A.A, and S.A. Akinleye. "Neutrosophic Hypercompositional Structures defined by Binary Relations." July 1, 2015. https://doi.org/10.5281/zenodo.22589.

Full text

Abstract:

The objective of this paper is to study neutrosophic hypercompositional structures  arising from the hypercompositions derived from the binary relations τ on a neutrosophic set. 

APA, Harvard, Vancouver, ISO, and other styles

50

Rajab, Ali Borzooei, Mohseni Takallo M., Smarandache Florentin, and Bae Jun Young. "Positive implicative BMBJ-neutrosophic ideals in BCK-algebras." May 16, 2019. https://doi.org/10.5281/zenodo.2863127.

Full text

Abstract:

The concepts of a positive implicative BMBJ-neutrosophic ideal is introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a (positive implicative) BMBJ-neutrosophic ideal are provided. Relations between BMBJ-neutrosophic ideal and positive implicative BMBJ-neutrosophic ideal are discussed. Characterizations of positive implicative BMBJ-neutrosophic ideal are displayed.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!