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Journal articles on the topic 'Neutrosophic soft sets'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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1

Mehmood, Arif, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, and Orawit Thinnukool. "Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗ b Open Sets." Journal of Function Spaces 2021 (May 24, 2021): 1–15. http://dx.doi.org/10.1155/2021/5544319.

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In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗ b open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets. Then, with the application of this new definition, some soft neutrosophical separation axioms, countability theorems, and countable space can be Hausdorff space under the subjection of neutrosophic soft sequence which is convergent, the cardinality of neutrosophic soft countable space, engagement of neutrosophic soft counta
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2

R. Anitha Cruz and F. Nirmala Irudayam. "More on R-Union and R-Intersection of Neutrosophic Soft Cubic Set." Mathematical Journal of Interdisciplinary Sciences 6, no. 2 (2018): 93–117. http://dx.doi.org/10.15415/mjis.2018.62008.

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R-unions and R-intersections, R-OR, R-AND of Neutrosophic soft cubic sets are introduced and related properties are investigated. We show that the R-union (R-intersection) of internal neutrosophic soft cubic set is also an internal neutrosophic soft cubic set. We show that the R-union and the R-intersection T-external (I-external, F-external) neutrosophic soft cubic sets are also T-external ( I-external, F-external) neutrosophic soft cubic sets. The conditions for the R-intersection of two cubic soft sets to be both an external neutrosophic soft cubic set and an internal neutrosophic soft cubi
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3

Vijayalakshmi, B., T. Sujitha, and E. Elavarasan. "Neutrosophic Soft Regular Semiopen Sets in Neutrosophic Soft Topological Spaces." International Journal of Multidisciplinary Research and Growth Evaluation 5, no. 4 (2024): 495–500. http://dx.doi.org/10.54660/.ijmrge.2024.5.5.495-500.

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In this paper, we introduce and study the concept of neutrosophic soft regular semiopen and neutrosophic soft regular semiclosed sets in neutrosophic soft topological spaces. By using neutrosophic soft regular semiopen set, we define a new neutrosophic soft interior operator namely neutrosophic soft regular semi interior operator and neutrosophic soft regular semi neighborhood. Also the relation between these sets and counter examples for the reverse relation are given.
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4

Şahin, Mehmet, Shawkat Alkhazaleh, and Vakkas Uluçay. "Neutrosophic Soft Expert Sets." Applied Mathematics 06, no. 01 (2015): 116–27. http://dx.doi.org/10.4236/am.2015.61012.

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5

Fujita, Takaaki. "Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets." HyperSoft Set Methods in Engineering 3 (April 23, 2025): 70–88. https://doi.org/10.61356/j.hsse.2025.3470.

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A fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1]. A Plithogenic Set further generalizes classical and fuzzy sets by incorporating attributes, their possible values, and a measure of contradiction. Other notable frameworks for handling uncertainty include the Soft Set and Hypersoft Set, which provide flexible parameterized approaches. A
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6

Mehmood, Arif, Farkhanda Afzal, Muhammad Imran Khan, Saleem Abdullah, and Saeed Gul. "Neutrosophic Soft Quad Structures Concerning Neutrosophic Soft Points." Mathematical Problems in Engineering 2022 (January 19, 2022): 1–12. http://dx.doi.org/10.1155/2022/8483632.

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In this article, a new concept of neutrosophic soft quad-topological structures is introduced. Generalised neutrosophic soft ∗ b open sets in neutrosophic soft quad-topological structures concerning soft points of the space are introduced. Different results are addressed in neutrosophic soft quad-topological structure on the basis of these new neutrosophic soft ∗ b open sets. Neutrosophic soft separation axioms and other separation axioms are addressed in neutrosophic soft quad-topological structures. The engagement of these axioms is switched over with different results with respect to soft p
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7

Jumaili, Alaa M. F. AL. "Other Certain Classes of Generalized Neutrosophic Soft Separation Structures." International Journal of Neutrosophic Science 22, no. 1 (2023): 77–85. http://dx.doi.org/10.54216/ijns.220106.

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The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- Ti-spaces (i=0, 1, 2, 3, 4) as well the rela
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8

Priya, A., P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, and Suganthi Mariyappan. "Possibility neutrosophic bipolar fuzzy soft sets and their applications." International Journal of Neutrosophic Science 23, no. 1 (2023): 176–92. http://dx.doi.org/10.54216/ijns.230116.

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In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process.
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9

Mandal, Debabrata. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals." International Journal of Fuzzy System Applications 7, no. 2 (2018): 103–13. http://dx.doi.org/10.4018/ijfsa.2018040106.

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As a generalization of fuzzy sets, soft set and neutrosophic sets are applied to many branches of mathematics to overcome the complexities arising from uncertain data. Combining these notions, in this article, the author initiates the study of $\Gamma$-semirings, an extension of semirings, and its ideals by neutrosophic soft sets. After defining some necessary definitions, they investigate neutrosophic soft $\Gamma$-semiring, neutrosophic soft ideals, idealistic neutrosophic soft $\Gamma$-semiring and obtain some of its characterizations.
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10

Broumi, Said, and Flornetin Smarandache. "Interval-Valued Neutrosophic Soft Rough Sets." International Journal of Computational Mathematics 2015 (January 19, 2015): 1–13. http://dx.doi.org/10.1155/2015/232919.

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We first defined interval-valued neutrosophic soft rough sets (IVN-soft rough sets for short) which combine interval-valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of interval-valued intuitionistic fuzzy soft rough sets (IVIF-soft rough sets).
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11

Saeed, Muhammad, Imrana Shafique, and Hatıra G¨unerhan. "Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem." International Journal of Mathematics, Statistics, and Computer Science 3 (January 5, 2025): 294–312. https://doi.org/10.59543/ijmscs.v3i.10625.

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The classical set theory based on crisp sets is not able to deal with uncertainties which is a common feature of various real-world problems. This problem is solved using modified forms of sets such as fuzzy sets, Intuitionistic fuzzy sets, neutrosophic sets, soft sets and hypersoft sets and others along with their hybrids. In this paper, a modified hybrid of soft set named Fermatean Neutrosophic Soft set ($FrNSS$) is established. Basic entities of set theory including subsets, null set, universal set along with different operators are defined. With respect to these operators, the algebraic st
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12

Al-Sharqi, Faisal Al, Abd Ghafur Ahmad, and Ashraf Al Al-Quran. "Mapping on Interval Complex Neutrosophic Soft Sets." International Journal of Neutrosophic Science 19, no. 4 (2022): 77–85. http://dx.doi.org/10.54216/ijns.190406.

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The neutrosophic idea is a fertile environment adaptable to different mathematical tools. This paper aims to introduce the mapping of complex interval neutrosophic soft sets (MI-CNSSs). Further, the images and inverse images of complex interval neutrosophic soft sets and their properties are explored. These will be supported by concrete examples, and this paper will present some theorems about complex interval neutrosophic soft images and inverse images.
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13

Acikgoz, Ahu, та Ferhat Esenbel. "Neutrosophic soft δ-topology and neutrosophic soft δ-compactness". Filomat 34, № 10 (2020): 3441–58. http://dx.doi.org/10.2298/fil2010441a.

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We introduce the concepts of neutrosophic soft ?-interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft ?-closure, neutrosophic soft ?-closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft ?-open sets is a neutrosophic soft topology, which is called the neutrosophic soft ?-topology. We obtain equivalent forms of neutrosophic soft ?-continuity. Moreover, the notions of neutrosophic soft ?-compactness and neutrosophic soft locally ?-compactness are defined and their basi
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14

Arulpandy, P., and Pricilla M. Trinita. "Bipolar neutrosophic soft generalized pre-closed sets and pre-open sets in topological space." April 9, 2022. https://doi.org/10.5281/zenodo.6426461.

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Neutrosophy is one of the widely used tool to deal with uncertainty. In recent years, neutrosophic sets were applied in the field of topology. There are numerous types of neutrosophic topological spaces based on different kinds of neutrosophic sets are proposed by research community. Bipolar neutrosophic set and their topological spaces were proposed and analyzed by many researchers. In this paper, the generalization of bipolar neutrosophic soft set and their classifications are proposed. A bipolar neutrosophic soft generalized pre-closed sets and bipolar neutrosophic soft generalized pre-open
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15

Irfan, Deli. "Interval-valued neutrosophic soft sets and its decision making." February 23, 2014. https://doi.org/10.5281/zenodo.32261.

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In this paper, the notion of the interval valued neutrosophic soft sets (ivn−soft sets) is defined which is a combination of an interval valued neutrosophic sets [36] and a soft sets [30]. Our ivn−soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set,intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn−soft sets sets. Some properties of ivn−soft sets which are connected to operations have been e
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16

Broumi, Said, and Smarandache Florentin. "Intuitionistic Neutrosophic Soft Set." August 9, 2014. https://doi.org/10.5281/zenodo.30199.

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In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and def ned intuitionistic neutrosophic soft set. Some def nitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.
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17

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

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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
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18

Alkan, Özkan, Yazgan Şeyda, and Kaur Sandeep. "Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces." July 29, 2023. https://doi.org/10.5281/zenodo.8194715.

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The notion of neutrosophic soft generalized sets is introduced as a general mathematical tool that incorporates useful properties of both neutrosophic generalized sets and soft sets. In this study, we acquaint the notion of neutrosophic soft generalized b-closed (open) (gb, in short) sets in neutrosophic soft topological spaces. In addition, the relations of this set with other neutrosophic soft closed and open sets and various properties are examined. Furthermore, the properties of the gb-closure and gb-interior operator in neutrosophic soft sets and gb-neighborhood in neutrosophic soft topol
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19

SAID, BROUMI. "GeneralizedNeutrosophicSoftSet." April 10, 2013. https://doi.org/10.5281/zenodo.235719.

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In this paper we present a new concept called “generalized neutrosophic soft set”. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A.Salama [7] and soft set techniques proposed by Molodtsov [4]. We also study some properties of this concept. Some definitions and operations have been introduced on generalized neutrosophic soft set. Finally we present an application of generalized neuutrosophic soft set in decision making problem.
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20

Pabitra, Kumar Maji. "Weighted Neutrosophic Soft Sets." July 1, 2015. https://doi.org/10.5281/zenodo.22672.

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In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parameters considered we introduce here weighted neutrosophic soft sets. Some operations like union, intersection, complement, AND, OR etc. have been defined on this new concept. Some properties of these newly defined operations have also been verified.
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21

Broumi, Said, and Smarandache Florentin. "Intuitionistic Neutrosophic Soft Set." May 16, 2019. https://doi.org/10.5281/zenodo.2861554.

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In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.
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22

H¨useyin, Kamacı. "Games Based on Simplified Neutrosophic Mul." December 12, 2021. https://doi.org/10.5281/zenodo.5775170.

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In this paper, we firstly define simplified neutrosophic multiplicative soft sets by combining simplified neutrosophic multiplicative sets and soft sets. Meanwhile, we introduce some basic operations of simplified neutrosophic multiplicative soft sets and discuss their related properties. Later, we describe two person simplified neutrosophic multiplicative soft games, and give different types of solution models of these games which are simplified neutrosophic multiplicative soft saddle points, simplified neutrosophic multiplicative soft upper and lower values, simplified neutrosophic multiplic
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23

A.Haydar, Eş. "A Note On Neutrosophic Soft Menger Topological Spaces." August 19, 2020. https://doi.org/10.5281/zenodo.3991381.

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In this paper, the concept of neutrosophic soft Mengerness, neutrosophic soft near Mengerness and neutrosophic soft almost Mengerness are introduced and studied. Some characterizations of neutrosophic soft almost Mengerness in terms of neutrosophic soft regular open or neutrosophic soft regular closed are given. 
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24

Mehmet, Şahin, Alkhazaleh Shawkat, and Uluçay Vakkas. "Neutrosophic Soft Expert Sets." June 11, 2015. https://doi.org/10.5281/zenodo.23000.

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In this paper we introduce the concept of neutrosophic soft expert set (NSES). We also define its basic operations, namely complement, union, intersection, AND and OR, and study some of their properties. We give examples for these concepts. We give an application of this concept in a decision- making problem.
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25

Mehmet, Şahin, Alkhazaleh Shawkat, and Uluçay Vakkas. "Neutrosophic Soft Expert Sets." June 6, 2015. https://doi.org/10.5281/zenodo.23102.

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In this paper we introduce the concept of neutrosophic soft expert set (NSES). We also define its basic operations, namely complement, union, intersection, AND and OR, and study some of their properties. We give examples for these concepts. We give an application of this concept in a decision- making problem.
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26

Anitha, Cruz R. "Neutrosophic Soft Cubic Refined Sets." September 10, 2024. https://doi.org/10.5281/zenodo.13989213.

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This paper presents a novel approach to the Neutrosophic Soft Cubic Re ned Set (NSCRS), which serves as the foundation for combining the theory of soft sets, the already-existing Neutrosophic cubic set, and the Neutrosophic re ned set and Neutrosophic Soft Cubic Set. Further introduced are the internal neutrosophic soft cubic re ned set (INSCRS) and external neutrosophic soft cubic re ned set (ENSCRS), along with their various properties, including P-order, P-union, P-intersection, and R-order, R-union, and R-intersection neutrosophic soft cubic re ned set.
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27

Faruk, Karaaslan. "Neutrosophic Soft Sets with Applications in Decision Making." May 26, 2015. https://doi.org/10.5281/zenodo.23151.

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In this study, we firstly present definitions and properties in study of Maji  on neutrosophic soft sets. We then give a few notes on his study. Next, based on Çağman, we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of optimum elements from the alternatives. We finally present examples which shows that the methods can be successfully applied to many problems that contai
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28

Ahmed, B. AL-Nafee. "New Family of Neutrosophic Soft Sets." December 1, 2020. https://doi.org/10.5281/zenodo.4300576.

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The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details.
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29

Mamoni, Dhar. "Some Basic Concepts of Neutrosophic Soft Block Matrices." October 2, 2022. https://doi.org/10.5281/zenodo.7135246.

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The main focus of this article is to discuss the concept of neutrosophic sets, neutrosophic soft sets , neutrosophic soft matrices theory and neutrosophic soft block matrix which are very useful and applicable in various situations involving uncertainties and imprecisions. Here different types of neutrosophic soft block matrices are studied and some operations on it along with some associated properties are discussed in details.
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30

admin, admin, M. M.Karthika, and F. Smarandache. "A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces." International Journal of Neutrosophic Science, 2020, 96–104. http://dx.doi.org/10.54216/ijns.0100203.

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The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, in- tuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and stu
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31

Parimala, M., M. Karthika, and F. Smarandache. "A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces." November 17, 2020. https://doi.org/10.5281/zenodo.4277252.

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The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, intuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and study
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32

Cruz, R. Anitha, and F. Nirmala Irudayam. "More On P-Union and P-Intersection of Neutrosophic Soft Cubic Set." October 14, 2017. https://doi.org/10.5281/zenodo.1012233.

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The P-union ,P-intersection, P-OR and P-AND of neutrosophic soft cubic sets are introduced and their related properties are investigated. We show that the Punion and the P-intersection of two internal neutrosophic soft cubic sets are also internal neutrosophic soft cubic sets. The conditions for the P-union ( P-intersection ) of two T-external (resp. I- external, F- external) neutrosophic soft cubic sets to be T-external (resp. I- external, F- external) neutrosophic soft cubic sets is also dealt with. We provide conditions for the P-union (P-intersection) of two T-external (resp. I- external,
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33

Said, Broumi, Bakali Assia, Smarandache Florentin, Talea Mohamed, Ali Mumtaz, and Selvachandran Ganeshsree. "Complex Neutrosophic Soft Set." July 10, 2017. https://doi.org/10.5281/zenodo.888849.

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In this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets. The basic set theoretic operations and some concepts related to the structure of this model are introduced, and illustrated. An example related to a decision making problem involving uncertain and subjective information is presented, to demonstrate the utility of this model.
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34

Ebenanjar, P. Evanzalin, and K. Sivaranjani. "Neutrosophic soft b-open set." Advances in Mathematics: Scientific Journal, May 15, 2020, 405–16. http://dx.doi.org/10.37418/amsj.9.1.32.

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Smarandache introduced the idea of neutrosophic sets. Neutrosophic soft sets deals with uncertain data. This paper defines the notion of neutrosophic soft b-open sets. The relationship between neutrosophic soft b-open set and other neutrosophic soft open sets are discussed. Also the properties of neutrosophic soft b-open are investigated.
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35

Muhammad, Akram, and Shahzadi Sundas. "Neutrosophic Soft Graphs." January 17, 2016. https://doi.org/10.5281/zenodo.236082.

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In this research article, we present a novel frame work for handling nutrosophic soft information by combining the theory of nutrosophic soft sets with graphs. We introduce the certain notions including neutrosophic soft graphs, strong neutrosophic soft graphs, complete neutrosophic soft graphs, and illustrate these notions by several examples. We then discuss various methods of their construction and investigate some of their related properties. We also present an application of neutrosophic soft graph in decision making.
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36

Faruk, Karaaslan. "Correlation coefficients of single valued neutrosophic refined soft sets and their applications in clustering analysis." December 5, 2014. https://doi.org/10.5281/zenodo.34794.

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Neutrosophic set theory was introduced by Smarandache based on neutrosophy which is a branch of philosophy. The concept of single valued neutrosophic refined set was defined by Ye as an extension of single valued neutrosophic sets introduced by Wang. In this study, the concept of single valued neutrosophic refined soft set is defined as an extension of single valued neutrosophic refined set.
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37

Said, Broumi, Mumtaz Ali, and Smarandache Florentin. "MAPPINGS ON NEUTROSOPHIC SOFT EXPERT SETS." May 20, 2015. https://doi.org/10.5281/zenodo.49111.

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 In this paper we introduced  mapping on neutrosophic soft expert sets through which we can study the images and inverse images of neutrosophic soft expert sets. Further, we investigated the basic operations and other  related properties of mapping on neutrosophic soft expert sets in this paper. 
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38

Said, Broumi, and Smarandache Flornetin. "Soft Interval –Valued Neutrosophic Rough Sets." July 3, 2015. https://doi.org/10.5281/zenodo.30314.

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In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties.
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39

Mehmood, Arif, Samer Al Ghour, Farkhanda Afzal, Giorgio Nordo, and Najma Saleem. "Comprehensive note on characterization of neutrosophic soft P-open sets in neutrosophic soft quad-topological space." Journal of Intelligent & Fuzzy Systems, March 18, 2022, 1–22. http://dx.doi.org/10.3233/jifs-212547.

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This paper concern the study of the notions of some new definitions and results. Three new definitions are given namely, neutrosophic soft quad semi-open, neutrosophic soft quad pre-open and neutrosophic soft quad *b open sets in neutrosophic soft quad-topological spaces. Among these one of the interesting neutrosophic soft quad generalized open set known as neutrosophic soft quad pre-open set is chosen then on the basis of this definition some fundamentals are generated. These are including, neutrosophic soft quad interior, neutrosophic soft quad boundary, neutrosophic soft quad exterior and
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40

Irfan, Deli. "npn-soft sets theory and their applications." April 6, 2015. https://doi.org/10.5281/zenodo.23080.

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In this paper, we firstly defined neutrosophic parameterized neutrosophic soft sets(npn-soft sets) which is combination of a neutrosophic sets and a soft sets. Our npn¡soft sets generalizes the concept of the other soft sets such as; fuzzy soft sets, intuitionistic fuzzy soft sets, neutrosophic soft sets, fuzzy parameterized soft sets, intuitionistic fuzzy parameterized soft sets, neutrosophic parameterized soft sets and so on. Then, we introduce some defihave been established. Also, we have introduced the concept of npn¡soft matrix and their operators
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41

Ashraf, Al-Quran, and Hassan Nasruddin. "Mapping on complex neutrosophic soft expert sets." August 26, 2018. https://doi.org/10.5281/zenodo.1413097.

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We introduce the mapping on complex neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of complex neutrosophic soft expert image and complex neutrosophic soft expert inverse image of complex neutrosophic soft expert sets.
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42

Said, Broumi, and Smarandache Florentin. "More on Intuitionistic Neutrosophic Soft Sets." April 16, 2013. https://doi.org/10.5281/zenodo.49123.

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Intuitionistic Neutrosophic soft set theory proposed by S.Broumi and F.Samarandache [28], has been regarded as an effective mathematical tool to deal with uncertainties. In this paper  new operations on intuitionistic neutrosophic soft sets have been introduced . Some results relating to the properties of these operations have been established. Moreover ,we illustrate their interconnections between each other.
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43

Abhijit, Saha, Broumi Said, and Smarandache Florentin. "Neutrosophic Soft Sets Applied on Incomplete Data." March 21, 2020. https://doi.org/10.5281/zenodo.3723151.

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A neutrosophic set is a part of neutrosophy that studies the origin, nature and scope of neutralities as well as their interactions with different ideational spectra. In this present paper first we have introduced the concept of a neutrosophic soft set having incomplete data with suitable examples. Then we have tried to explain the consistent and inconsistent association between the parameters. We have introduced few new definitions, namely- consistent association number between the parameters, consistent association degree, inconsistent association number between the parameters and inconsiste
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44

Arif, Mehmood, Ullah Wadood, Broumi Said, et al. "Neutrosophic Soft Structures." May 2, 2020. https://doi.org/10.5281/zenodo.3782841.

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In paper, neutrosophic soft points with the concept of one point greater than the other and their properties, generalized neutrosophic soft open set known as soft b-open set, neutrosophic soft separation axioms theoretically with support of suitable examples with respect to soft points, neutrosophic soft -space engagement with generalized neutrosophic soft closed set, neutrosophic soft -space engagement with generalized neutrosophic soft open set are addressed. In continuation, neutrosophic soft -space behave as neutrosophic soft -space with the plantation of some extra condition on soft -spac
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45

Mumtaz, Ali, Smarandache Florentin, Shabir Muhammad, and Naz Munazza. "Soft Nuetrosophic Ring and Soft Neutrosophic Field." March 3, 2014. https://doi.org/10.5281/zenodo.30325.

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46

Said, Broumi, and Smarandache Florentin. "SINGLE VALUED NEUTROSOPHIC SOFT EXPERT SETS AND THEIR APPLICATION IN DECISION MAKING." March 23, 2015. https://doi.org/10.5281/zenodo.49109.

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In this paper, we first introduce the concept of single valued neutrosophic soft expert sets (SVNSESs for short) which combines single valued neutrosophic sets and soft expert sets.We also defineits basic operations, namely complement, union, intersection, AND and OR, and study some related properties supporting proofs.This concept is a generalization of fuzzy soft expert sets (FSESs) and intuitionistic fuzzy soft expert sets (IFSESs). Finally, an approach for solving MCDM problems is explored by applying the single valued neutrosophic soft expert sets, and an example is provided to illustrate
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47

Said, Broumi, and Smarandache Florentin. "SINGLE VALUED NEUTROSOPHIC SOFT EXPERT SETS AND THEIR APPLICATION IN DECISION MAKING." March 23, 2015. https://doi.org/10.5281/zenodo.49135.

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Abstract:
In this paper, we first introduce the concept of single valued neutrosophic soft expert sets (SVNSESs for short) which combines single valued neutrosophic sets and soft expert sets.We also defineits basic operations, namely complement, union, intersection, AND and OR, and study some related properties supporting proofs.This concept is a generalization of fuzzy soft expert sets (FSESs) and intuitionistic fuzzy soft expert sets (IFSESs). Finally, an approach for solving MCDM problems is explored by applying the single valued neutrosophic soft expert sets, and an example is provided to illustrate
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48

Debabrata, Mandal. "Neutrosophic Soft Semirings." June 8, 2014. https://doi.org/10.5281/zenodo.23113.

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The purpose of this paper is to study semirings and its ideals by neutrosophic soft sets. After noting some preliminary ideas for subsequent use in Section 1 and 2, I have introduced and studied neutrosophic soft semiring, neutrosophic soft ideals, idealistic neutrosophic soft semiring, regular (intra-regular) neutrosophic soft semiring along with some of their characterizations in Section 3 and 4. In Section 5, I have illustrated all the necessary de nitions and results by examples.
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49

Kemale, Veliyeva, and Bayramov Sadi. "Neutrosophic Soft Modules." May 30, 2018. https://doi.org/10.5281/zenodo.1413219.

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Molodtsov initiated the concept of soft sets in [17]. Maji et al. defined some operations on soft sets in [13]. Aktaş et al. generalized soft sets by defining the concept of soft groups in [2]. After then, Qiu-Mei Sun et al. gave soft modules in [20]. In this paper, the concept of neutrosophic soft module is introduced and some of its basic properties are studied.
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50

P, Arulpandy, and Trinita Pricilla M. "Bipolar neutrosophic graded soft sets and their topological spaces." February 11, 2022. https://doi.org/10.5281/zenodo.6041583.

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Bipolar neutrosophic soft sets and their properties were discussed in several articles by many researchers. Soft sets are parametrized sets and bipolar neutrosophic soft sets are the fusion of bipolar neutrosophic sets and soft sets and there will be a number of decision variables or parameters. In many circumstances, the significance of each parameter is not equal. So the selection at the end might be unfit to the scenario. In this paper, we proposed Bipolar neutrosophic graded soft sets and their topological spaces. The proposed method fills that gap among the selection.
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