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Journal articles on the topic 'Neutrosophic soft set'

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

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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3

Areen, Areen, Belal Batiha, Areen Al Al-khateeb, Hamzeh .., Abedallah Al .., and Khaldoun Batiha. "Possibility Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 24, no. 4 (2024): 105–25. http://dx.doi.org/10.54216/ijns.240408.

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In this paper, we introduce the concept of Possibility Fermatean Neutrosophic Soft Set and define some related concepts such as Possibility Fermatean Neutrosophic Soft subset, Possibility Fermatean Neutrosophic Soft null set, and Possibility Fermatean Neutrosophic Soft universal set. Then, we define set-theoretical operations of Possibility Fermatean Neutrosophic Soft Sets such as union, intersection, and complement, and investigate some properties of these operations. We also introduce AND-product and OR-product operations between two Possibility Fermatean Neutrosophic Soft Sets. We propose a

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4

S., Ganesan S. Jafari and M. H. Page. "A new approach to neutrosophic soft set minimal structure spaces." Annals of Communications in Mathematics 5, no. 3 (2022): 181–93. https://doi.org/10.5281/zenodo.10058360.

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This chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)- continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.

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Broumi, S., and T. Witczak. "Heptapartitioned neutrosophic soft set." International Journal of Neutrosophic Science 18, no. 4 (2022): 270–90. http://dx.doi.org/10.54216/ijns.180423.

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The aim of this paper is to introduce the concept of heptapartitioned neutrosophic soft set and to study some of its basic properties. This kind of set can be considered as a significant extension of the idea of neutrosophic set. In general, our research is based on the earlier study presented by Radha and Stanis Arul Mary in 2021. However, we combine their initial definition with the inspiring notion of soft set (which has been established by Molodtsov in 1999). We examine algebraic operations on our sets. Then we show that the particular choose of exactly seven neutrosophic logical values ha

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6

Broumi, Said. "Generalized Neutrosophic Soft Set." International Journal of Computer Science, Engineering and Information Technology 3, no. 2 (2013): 17–30. http://dx.doi.org/10.5121/ijcseit.2013.3202.

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7

admin, admin, Hamzeh Zureigat, Belal Batiha, Areen Al Al-khateeb, and Abedallah Al Al-shboul. "Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 25, no. 3 (2025): 469–88. http://dx.doi.org/10.54216/ijns.250339.

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This paper aims to introduce a new concept which is Fermatean Neutrosophic Soft Set (FNSS), which is a combination of the Neutrosophic soft sets and Fermatean Fuzzy Sets. Some operations and properties of the new model, including complement, restricted union, and extended intersection are discussed. Further, an application of FNSS is modeled for multiple attribute decision-making and solved with the help of our newly launched algorithm, that is, the selection of the most attractive laptop based on a computer simulation report. Finally, a comparative analysis between the initiated FNSS model an

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8

Cruz, R. Anitha, and F. Nirmala Irudayam. "Neutrosophic Soft Cubic Set." International Journal of Mathematics Trends and Technology 46, no. 2 (2017): 88–94. http://dx.doi.org/10.14445/22315373/ijmtt-v46p515.

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9

Tasbozan, Hatice. "Near neutrosophic soft set." AIMS Mathematics 9, no. 4 (2024): 9447–54. http://dx.doi.org/10.3934/math.2024461.

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<abstract><p>In this article, the notion of near neutrosophic soft sets $ (Nss) $ is obtained by combining the notion of $ Nss $ and the notion of near approximation space. Accordingly, a new set was obtained by restricting the set of features with the help of the indiffirentiable relation defined on the set. The features and definitions that the set will provide are given, and, based on these features, the benefits that will be provided when they are implemented are investigated in the example.</p></abstract>

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10

Khalil, Ahmed Mostafa, Dunqian Cao, Abdelfatah Azzam, Florentin Smarandache, and Wedad R. Alharbi. "Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making." Symmetry 12, no. 8 (2020): 1361. http://dx.doi.org/10.3390/sym12081361.

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In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type b

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11

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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12

Mehmood, Arif, Samer Al Ghour, Muhammad Ishfaq, and Farkhanda Afzal. "A look at soft neutrosophic spaces." Journal of Intelligent & Fuzzy Systems 41, no. 6 (2021): 6473–94. http://dx.doi.org/10.3233/jifs-210306.

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In this article, new definition of neutrosophic soft ** b-open set is introduced with the help of neutrosophic soft α-open set and neutrosophic soft β-open set. With the application of this new definition some neutrosophic soft separation axioms and neutrosophic soft other separation axioms are addressed with respect to soft points of the spaces. Suitable examples are provided for the clarification of different results. Soft countability results and its engagements with different other neutrosophic soft results are studied. In continuation, characterization of Bolzano Weirstrass Property with

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13

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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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

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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16

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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17

Tuhin, Bera, and Nirmal Kumar Mahapatra. "On Neutrosophic Normal Soft Groups." December 9, 2016. https://doi.org/10.5281/zenodo.235809.

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The concepts of neutrosophic normal soft group, neutrosophic soft cosets,neutrosophics of homomorphism are introduced and illustrated by suitable examples in this paper. Several related properties and structural characteristics are investigated. Some of their basic theorems are also established.

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18

Shawkat, Alkhazaleh, and Marei Emad. "Mappings on Neutrosophic Soft Classes." July 1, 2015. https://doi.org/10.5281/zenodo.22563.

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In 1995 Smarandache introduced the concept of neutrosophic set which is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. In 2013 Maji introduced the concept of neutrosophic soft set theory as a general mathematical tool for dealing with uncertainty. In this paper we define the notion of a mapping on classes where the neutrosophic soft classes are collections of neutrosophic soft set. We also define and study the properties of neutrosophic soft images and neutrosophic soft inverse images of neutrosophic s

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19

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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20

Said, Broumi, Sahin Ridvan, and Smarandache F. "Generalized Interval Neutrosophic Soft Set and its Decision Making Problem." February 2, 2014. https://doi.org/10.5281/zenodo.30174.

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In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.

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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

Said, Broumi. "Generalized Neutrosophic Soft Set." April 18, 2013. https://doi.org/10.5281/zenodo.32255.

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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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23

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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Karaaslan, Faruk. "Possibility neutrosophic soft sets and PNS-decision making method." November 5, 2016. https://doi.org/10.5281/zenodo.237178.

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Faruk, Karaaslan. "Possibility neutrosophic soft sets and PNS-decision making method." May 22, 2019. https://doi.org/10.5281/zenodo.3129396.

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In this paper, we introduce concept of possibility neutrosophic soft set and define some related conceptssuch as possibility neutrosophic soft subset, possibility neutrosophic soft null set, and possibility neutro-sophic soft universal set. Then, based on definitions of n-norm and n-conorm, we define set theoreticaloperations of possibility neutrosophic soft sets such as union, intersection and complement, and inves-tigate some properties of these operations. We also introduce AND-product and OR-product operations between two possibility neutrosophic soft sets. We propose a decision making met

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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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Tahir, Mahmood, Khan Qaisar, and Ali Khan Mohsin. "Q-SINGLE VALUED NEUTROSOPHIC SOFT SETS." August 30, 2016. https://doi.org/10.5281/zenodo.237150.

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In this paper, we have introduced the concept of Q-single value neutrosophic soft set, multi Qsingle valued neutrosophic set and defined some basic results and related properties. We have also defined the idea of Q-single valued neutrosophic soft set, which is the genralizations of Q-fuzzy set, Q-intuitionistic fuzzy set, multi Q-fuzzy set , Multi Q-intuitionistic fuzzy set, Q-fuzzy soft set, Q-intuitionistic fuzzy soft set. We have also defined and discussed some properties and operations of Q-single valued neutrosophic soft set.

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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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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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30

Ahmed, B. Al-Nafee, Broumi Said, and Smarandache Florentin. "Neutrosophic Soft Bitopological Spaces." March 27, 2021. https://doi.org/10.5281/zenodo.5168013.

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In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N<sub>3</sub>-(bi)<sup>*</sup>-open set, N<sub>3</sub>-(bi)<sup>*</sup>-closed set, (bi)<sup>*</sup>-neutrosophic soft interior, (bi)<sup>*</sup>-neutrosophic soft closure, (bi)<sup>*</sup>-neutrosophic soft boundary, (bi)<sup>*</sup>-neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we

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Emad, Marei. "Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application." April 28, 2018. https://doi.org/10.5281/zenodo.1235387.

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This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.

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32

Anthony, Oyem, Gb´o. l´ah`an Jaiy´eo. l´a T`em´ıt´o.p´e., Olajire Olaleru Johnson, and Osoba Benard. "Soft Neutrosophic Quasigroups." June 29, 2022. https://doi.org/10.5281/zenodo.6774903.

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This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup. Also, it was established that the holomorph of any neutrosophic quasigroup is a neutrosophic quasigroup. The soft set theory which Molodtsov innovated is a potent mathematical tool used for solving mathematical problems with uncertainties and things that are not clearly defined. We broaden soft set theory by introducing soft neutrosophic quasigroup (NF , A)

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Anthony, Oyem, Gb´o. l´ah`an Jaiy´eo. l´a T`em´ıt´o.p´e., Olajire Olaleru Johnson, and Osoba Benard. "Soft Neutrosophic Quasigroups." October 2, 2022. https://doi.org/10.5281/zenodo.7135425.

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This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup. Also, it was established that the holomorph of any neutrosophic quasigroup is a neutrosophic quasigroup. The soft set theory which Molodtsov innovated is a potent mathematical tool used for solving mathematical problems with uncertainties and things that are not clearly defined. We broaden soft set theory by introducing soft neutrosophic quasigroup (NF , A)

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Mumtaz, Ali, Smarandache Florentin, and Shabir Muhammad. "Soft Neutrosophic Loop, Soft Neutrosophic Biloop and Soft Neutrosophic N-Loop." March 3, 2013. https://doi.org/10.5281/zenodo.30320.

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Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly de ned objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N-loop with the discuission of some of their characteristics.

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Partha, Pratim DEY, PRAMANIK Surapati, and C. GIRI Bibhas. "Neutrosophic Soft Multi-Attribute Group Decision Making Based On Grey Relational Analysis Method." December 6, 2013. https://doi.org/10.5281/zenodo.34869.

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The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers. The concept of neutrosophic soft sets is derived from the hybridization of the concepts of neutrosophic set and soft set. In the decision making process, the decision makers offer the rating of alternatives with respect to the parameters in terms of single valued neutrosophic set.

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Irfan, Deli, and Broumi Said. "Neutrosophic soft matrices and NSM-decision making." April 26, 2015. https://doi.org/10.5281/zenodo.23126.

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In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matrix is useful for storing a neutrosophic soft set in computer memory which are very useful and applicable. We finally construct a decision making method, called NSM-decision making, bas

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Mehmet, Şahin, Uluçay Vakkas, and Broumi Said. "Bipolar Neutrosophic Soft Expert Set Theory." April 30, 2018. https://doi.org/10.5281/zenodo.1237874.

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In this paper, we introduce for the first time the concept of bipolar neutrosophic soft expert set and its some operations. Also, the concept of bipolar neutrosophic soft expert set and its basic operations, namely complement, union and intersection. We give examples for these concepts.

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Bhuvaneshwari, S., and C. Antony Crispin Sweety. "Generalized Possibility Neutrosophic Soft Set And Its Application." International Journal of Neutrosophic Science, 2021. http://dx.doi.org/10.54216/ijns.140205.

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Today, experts are emphasizing establishing innovative ideas to cope with the complexity, imprecision, and ambiguity that exist in practical problems, together with suitable examples to elucidate their hypotheses. The neutrosophic set and its hybridizations are broadly adopted in many decision-making challenges. More researchers are working to discuss the validity of neutrosophy and its combinations in decision-making issues. In this work, we develop a new hybridized structure of neutrosophic soft set named Generalized Possibility Neutrosophic Soft Set (GPNSS) and discuss its basic properties.

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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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Said, Broumi, Sahin Rıdvan, and Smarandache Florentin. "Generalized Interval Neutrosophic Soft Set and its Decision Making Problem." April 21, 2014. https://doi.org/10.5281/zenodo.49000.

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 In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.

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Rana, Muhammad Zulqarnain, Iampan Aiyared, Siddique Imran, and Abd ElWahed Khalifa Hamiden. "Cosine and Set-Theoretic Similarity Measures for Generalized Multi-Polar Neutrosophic Soft Set with Their Application in Decision Making." June 29, 2022. https://doi.org/10.5281/zenodo.6774678.

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A similarity measure and correlation coefficients are used to tackle many issues that include indistinct and blurred information, excluding is not in a position to deal with the general fuzziness and obscurity of the various problems. In this paper, we study some basic concepts which are helpful to build the structure of the article, such as soft set, neutrosophic soft set, and generalized m-polar neutrosophic soft set. The main objective of this paper is to develop the cosine and settheoretic similarity measures for the generalized multipolar neutrosophic soft set (GmPNSS). We discuss some ba

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Sumathi, I. R., and I. Arockiarani. "Cosine similarity measures of neutrosophic soft set." August 23, 2016. https://doi.org/10.5281/zenodo.235435.

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In this paper we have introduced the concept of cosine similarity measures for neutrosophic soft set and interval valued neutrosophic soft set.An application is given to show its practicality and effectiveness.

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43

Anjan, Mukherjee, and Sarkar Sadhan. "A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems." July 1, 2015. https://doi.org/10.5281/zenodo.21454.

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Smarandache in 1995 introduced the concept of neutrosophic set and in 2013 Maji introduced the notion of neutrosophic soft set, which is a hybridization of neutrosophic set and soft set. After its introduction neutrosophic soft sets become most efficient tools to deals with problems that contain uncertainty such as problem in social, economic system, medical diagnosis, pattern recognition, game theory, coding theory and so on. In this work a new method of measuring similarity measure and weighted similarity measure between two neutrosophic soft sets (NSSs) are proposed. A comparative study wit

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44

Faruk, Karaaslan. "Neutrosophic soft sets with applications in decision making." June 2, 2014. https://doi.org/10.5281/zenodo.32270.

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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 Cagman, 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 contain uncertainties.

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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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Oyobo, Tunde Yakub, Osoba Benard, and abdulafeez Olalekan Abdulkareem. "Distributive Properties of Q−neutrosophic Soft Quasigroups." October 3, 2023. https://doi.org/10.5281/zenodo.8404522.

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The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted pools of researchers. Dierent researchers have dened the idea of a Q-neutrosophic soft set under associative structures like groups, elds, rings, and modules. The distributive and symmetric properties of the Q−neutrosophic soft quasigroup are examined in this study, which extends the idea of a Q−neutrosophic soft set to

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47

"A new approach to neutrosophic soft set minimal structure spaces." Annals of Communications in Mathematics, 2022. http://dx.doi.org/10.62072/acm.2022.050305.

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This chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)-continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.

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Ashraf, Al-Qurana, Mareib Emad, and Hassan Nasruddin. "An approach to neutrosophic soft rough set and its properties." December 5, 2014. https://doi.org/10.5281/zenodo.34756.

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In this paper a new approach is being introduced to study roughness through neutrosophic soft sets. This new model is called neutrosophic right neighborhood. The concept of neutrosophic soft rough set approximations will be de ned, properties of suggested approximations are deduced and proved and then some of neutrosophic soft rough set concepts will be de ned along with several propositions and illustrative examples. Finally, we illustrate that classical rough sets model can be viewed as a special case of the suggested model in this paper.

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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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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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