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Journal articles on the topic 'Neutrosophic soft multi-set theory'

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Published: 2 June 2025
Last updated: 31 July 2025

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1

Jayaprakash, Poornima, and Sandhiya Sundar. "Neutrosophic soft set matrix and their applications based on multi criteria decision-making problems." Multidisciplinary Science Journal 6 (December 15, 2023): 2024ss0110. http://dx.doi.org/10.31893/multiscience.2024ss0110.

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Importance of decision-making problems in uncertain environments cannot be overstated. Soft set theory and neutrosophic soft set theory are advanced mathematical techniques that have recently been developed to better handle these uncertain, incomplete, and inconsistent data sets. The concepts of neutrosophic soft set, neutrosophic soft matrix, and its operations are presented in this work. To compare the neutrosophic soft sets, we also provide score, certainty, and accuracy functions. Afterward, we create the neutrosophic arithmetic operator (NA), neutrosophic weighted arithmetic operator neut
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2

Jana, Chiranjibe, and Madhumangal Pal. "A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making." Symmetry 11, no. 1 (2019): 110. http://dx.doi.org/10.3390/sym11010110.

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Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties. In present study, a new aggregation operators of single-valued neutrosophic soft numbers have so far not yet been applied for ranking of the alt
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3

Al-Quran, Ashraf, and Nasruddin Hassan. "Neutrosophic vague soft expert set theory." Journal of Intelligent & Fuzzy Systems 30, no. 6 (2016): 3691–702. http://dx.doi.org/10.3233/ifs-162118.

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4

Zhang, Fu, and Weimin Ma. "Study on Chaotic Multi-Attribute Group Decision Making Based on Weighted Neutrosophic Fuzzy Soft Rough Sets." Mathematics 11, no. 4 (2023): 1034. http://dx.doi.org/10.3390/math11041034.

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In this article, we have proposed a multi-attribute group decision making (MAGDM) with a new scenario or new condition named Chaotic MAGDM, in which not only the weights of the decision makers (DMs) and the weights of the decision attributes are considered, but also the familiarity of the DMs with the attributes are considered. Then we applied the weighted neutrosophic fuzzy soft rough set theory to Chaotic MAGDM and proposed a new algorithm for MAGDM. Moreover, we provide a case study to demonstrate the application of the algorithm. Our contributions to the literature are as follows: (1) fami
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5

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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6

Selvakumari, K., and S. Lavanya. "Neutrosophic Fuzzy Soft Game." International Journal of Engineering & Technology 7, no. 3.34 (2018): 667. http://dx.doi.org/10.14419/ijet.v7i3.34.19412.

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The Soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainity.This paper is devoted to the discussions of Neutrosophic fuzzy soft set. A new game modelis proposed and called Neutrosophicfuzzy soft game since it is based on Neutrosophic fuzzy soft set theory. We concentrate on discussing a class of two person zero-sum games with Neutrosophic fuzzy soft payoffs.The proposed scheme is illustrated by an example regarding the pure strategy problem.
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7

Alkhazaleh, Shawkat. "n-Valued refined neutrosophic soft set theory." Journal of Intelligent & Fuzzy Systems 32, no. 6 (2017): 4311–18. http://dx.doi.org/10.3233/jifs-16950.

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8

Nisar, Kottakkaran Sooppy, Muhammad Farman, Harish Garg, and Mahmoud Abdel-Aty. "Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review." International Journal of Neutrosophic Science 25, no. 3 (2025): 573–92. https://doi.org/10.54216/ijns.250345.

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This study reviews a comprehensive mathematical framework known as neutrosophic soft sets, which combines neutrosophic theory with the soft set theory. Also, we review neutrosophic fractional order functions. For decision making, this framework effectively conveys ambiguity and uncertainty. The developments in soft set theory and neutrosophic set theory are thoroughly examined in this article. We review the advancements of both theories in general. We examine the qualities, applications, and theoretical underpinnings of both theories. We study the combination of neutrosophic soft set theory an
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9

V., Ramadas, and P. Antony Samy V. "TRIANGULAR MEMBERSHIP FUNCTIONS OF N-FUZZY SOFT REGULAR BI-IDEALS." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 169–74. https://doi.org/10.5281/zenodo.1193689.

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In this paper, we investigated the new contribution to soft set theory called N- fuzzy neutrosophic soft theory over soft regular groupoids. Also complemented, N-level set and various ideal structures have been studied with suitable examples.
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10

Saeed, Muhammad, Muhammed Basit Ali, Atiqe Rahman, and Muhammad Yasir Hayat Malik. "A multi-attribute decision making context for supply chain management using possibility single-valued neutrosophic soft settings." Yugoslav Journal of Operations Research, no. 00 (2024): 33. http://dx.doi.org/10.2298/yjor240315033s.

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Argued decisions, risk estimation, empirical study, forecasts, apprehension supervision, and productive exposition depend on the degree of possibility. It enables us to assess the degree to which specific results are acceptable and to make more informed decisions by drawing on the information at our disposal and logic. Although some scholars have previously examined hybrid structures resembling fuzzy soft sets with possibility degree settings serving as fuzzy membership grades, the current study introduces an innovative structure that permits more adaptable and comprehensive settings: single-v
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11

Shihadeh, Abdallah, Mayada Abualhomos, Alaa M. Abd El-latif, et al. "Key Characteristics of Quadri-Partitioned Neutrosophic Riemann integrals and Quadri-Partitioned Neutrosophic Soft Topological Spaces." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5839. https://doi.org/10.29020/nybg.ejpam.v18i2.5839.

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Neutrosophic Set Theory (NST) is an extension of Intuitionistic Fuzzy Set Theory (IFST). While IFST relies on two possibilities for the complete depiction of a set, neutrosophic set theory familiarizes an additional third possibility, thus providing a more delicate representation. Our research builds upon a further extension of neutrosophic set theory, known as quadri-partitioned neutrosophic set theory (QPNST), which brings in a fourth possibility for a more detailed and complete description of sets. In this study, we define the Riemann Integral Theory (RIT) within the framework of QPNST. Thi
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12

P.Sheeba Maybell and S.Indhumathi. "Fuzzy Quadripartitioned Neutrosophic Matrices in Strategy Finding." International Research Journal on Advanced Engineering and Management (IRJAEM) 2, no. 11 (2024): 3405–10. http://dx.doi.org/10.47392/irjaem.2024.0501.

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Researchers have primarily proposed fuzzy oriented matrix theories have to model uncertainty for real-world decision- making (DM). Fuzzy neutrosophic soft matrix (FNSM) theory has been developed recently by combining the fuzzy neutrosophic set and soft set to handle the indeterminate information parametrically. The concept of fuzzy Quadripartitioned neutrosophic soft matrices are discussed. Some properties of trace, Determinant of a Fuzzy Quadripartitioned Neutrosophic Soft Matrix with some examples were discussed. An application of FQNSMS for Dimensionality reduction in data mining were discu
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13

Dong, Yuanxiang, Xiaoting Cheng, Weijie Chen, Hongbo Shi, and Ke Gong. "A cosine similarity measure for multi-criteria group decision making under neutrosophic soft environment." Journal of Intelligent & Fuzzy Systems 39, no. 5 (2020): 7863–80. http://dx.doi.org/10.3233/jifs-201328.

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In actual life, uncertain and inconsistent information exists widely. How to deal with the information so that it can be better applied is a problem that has to be solved. Neutrosophic soft sets can process uncertain and inconsistent information. Also, Dempster-Shafer evidence theory has the advantage of dealing with uncertain information, and it can synthesize uncertain information and deal with subjective judgments effectively. Therefore, this paper creatively combines the Dempster-Shafer evidence theory with the neutrosophic soft sets, and proposes a cosine similarity measure for multi-crit
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14

Muhaya, Khulud Fahad Bin, and Kholood Mohammad Alsager. "Extending neutrosophic set theory: Cubic bipolar neutrosophic soft sets for decision making." AIMS Mathematics 9, no. 10 (2024): 27739–69. http://dx.doi.org/10.3934/math.20241347.

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<p>This research introduced cubic bipolar neutrosophic sets (CBNSs), a novel framework that significantly enhanced the capabilities of bipolar neutrosophic sets (BNSs) in handling uncertainty and vagueness within data analysis. By integrating bipolarity and cubic sets, CBNSs provide a more comprehensive and accurate representation of information. We have defined key operations for CBNSs and thoroughly investigated their structural properties. Additionally, we have introduced cubic bipolar neutrosophic soft sets (CBNSSs) as a flexible parameterization tool for CBNSs. To validate the pract
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15

Broumi, Said, Irfan Deli, and Florentin Smarandache. "Neutrosophic Parametrized Soft Set Theory and its Decision Making." International Frontier Science Letters 1 (July 2014): 1–10. http://dx.doi.org/10.18052/www.scipress.com/ifsl.1.1.

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In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy.
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16

Nor, Liyana Amalini Mohd Kamal, Abdullah Lazim, Abdullah Ilyani, Alkhazaleh Shawkat, and Karaaslan Faruk. "Multi-Valued Interval Neutrosophic Soft Set: Formulation and Theory." December 10, 2019. https://doi.org/10.5281/zenodo.3569679.

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Neutrosophic set is a powerful general formal framework. A lot of studies on neutrosophic had been proposed and recently, in multi-valued interval values. However, sometimes there is problem involving elements of ambiguity and uncertainties in which the function of membership is difficult to be set in a particular case. Clearly, these problems can be solved by soft set since it is able to solve the lack of parameterization tool of theory. Thus, this paper introduces a concept of multi-valued interval neutrosophic soft set which amalgamates multi-valued interval neutrosophic set and soft set. T
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17

Irfan, Deli, Broumi Said, and Ali Mumtaz. "Neutrosophic Soft Multi-Set Theory and Its Decision Making." July 1, 2015. https://doi.org/10.5281/zenodo.22601.

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In this study, we introduce the concept of neutrosophic soft multi-set theory and study their properties and operations. Then, we give a decision making meth-ods for neutrosophic soft multi-set theory. Finally, an ap-plication of this method in decision making problems is presented.
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18

Deli, Irfan, Said Broumi, and Ali Mumtaz. "Neutrosophic Soft Multi-Set Theory and Its Decision Making." Neutrosophic Sets and Systems 5, 2014 (May 5, 2014). https://doi.org/10.5281/zenodo.571577.

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In this study, we introduce the concept of neutrosophic soft multi-set theory and study their properties and operations. Then, we give a decision making methods for neutrosophic soft multi-set theory. Finally, an ap-plication of this method in decision making problems is presented.
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19

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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20

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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21

Muhammad, Ihsan, Saeed Muhammad, and Ur Rahman Atiqe. "Neutrosophic Hypersoft Expert Set: Theory and Applications." June 29, 2022. https://doi.org/10.5281/zenodo.6774883.

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Soft set-like models deal with single argument approximate functions while hypersoft set, an extension of the soft set, deals with multi-argument approximate functions. The soft set cannot handle situations when attributes are required to be further divided into disjoint attribute-valued sets. To overcome this situation, a hypersoft set has been developed. In different fields like decision making and medical diagnosis, many researchers developed models based on the soft set for the solution of many problems. But these models deal with only one expert who creates many problems for the users, pr
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22

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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23

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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24

Shawkat, Alkhazaleh. "Plithogenic Soft Set." May 3, 2020. https://doi.org/10.5281/zenodo.3783023.

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In 1995, Smarandache initiated the theory of neutrosophic set as new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. Molodtsov initiated the theory of soft set as a new mathematical tool for dealing with uncertainties, which traditional mathematical tools cannot handle. He has showed several applications of this theory for solving many practical problems in economics, engineering, social science, medical science, etc. In 2017 Smarandache initiated the theory of Plithogenic Set and their properties. He also generalized the soft set to the hyper
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25

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.

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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
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26

Ashraf, Al-Quran, and Hassan Nasruddin. "Neutrosophic vague soft expert set theory." September 27, 2016. https://doi.org/10.5281/zenodo.236065.

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In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.
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27

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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28

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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29

Alkhazaleh, S. "n-Valued Refined Neutrosophic Soft Set Theory." October 11, 2016. https://doi.org/10.5281/zenodo.237152.

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In this paper as a generalization of neutrosophic soft set we introduce the concept of n-valued refined neutrosophic soft set and study some of its properties. We also, define its basic operations, complement, union intersection, "AND" and "OR" and study their properties.
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Atiqe, Ur Rahman, Saeed Muhammad, and Dhital Alok. "Decision Making Application Based on Neutrosophic Parameterized Hyp ersoft Set Theory." March 21, 2021. https://doi.org/10.5281/zenodo.4625665.

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  Hypersoft set is the generalization of soft set as it converts single attribute function to multiattribute function. The core purpose of this study is to make the existing literature regarding neutrosophic parameterized soft set in line with the need of multi-attribute function. We first conceptualize the neutrosophic parameterized hypersoft set along with some of its elementary properties and operations. Then we propose decision making based algorithm with the help of this theory. Moreover, an illustrative example is presented which depicts its validity for successful application to th
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31

Muhammad, Saeed, Ur Rahman Atiqe, Arshad Muhammad, and Dhital Alok. "A Novel Approach to Neutrosophic Hypersoft Graphs with Properties." October 7, 2021. https://doi.org/10.5281/zenodo.5553538.

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Neutrosophic hypersoft set is the combination of neutrosophic set and hypersoft set. It resolves the limitations of intuitionistic fuzzy sets and soft sets for the consideration of the degree of indeterminacy and multi-argument approximate function respectively. In this research article, a novel framework i.e. neutrosophic hypersoft graph, is formulated for handling neutrosophic hypersoft information by combining the concept of neutrosophic hypersoft sets with graph theory. Firstly, some of essential and fundamental notions of neutrosophic hypersoft graph are characterized with the help of num
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32

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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33

Said, Broumi, Deli Irfan, and Smarandache Florentin. "Neutrosophic Parametrized Soft Set Theory and Its Decision Making." September 12, 2014. https://doi.org/10.5281/zenodo.48994.

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In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy. 
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34

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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35

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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36

Said, Broumi, Deli Irfan, and Smarandache Florentin. "Neutrosophic Parametrized Soft Set Theory and Its Decision Making." June 2, 2015. https://doi.org/10.5281/zenodo.30225.

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In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy.
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37

Somen, Debnath. "Impact of Complex Interval Neutrosophic Soft Set Theory in Decision making By Using Aggregate Operator." September 7, 2021. https://doi.org/10.5281/zenodo.5486215.

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The main purpose of the paper is to introduce the notion of complex interval neutrosophic soft set (CIVNSS) theory, which is the generalization of the soft set, fuzzy soft set, interval-valued fuzzy soft set, interval neutrosophic soft set ,etc to describe the uncertain time-periodic phenomena in the form of an interval. After that, some important properties and operations on CIVNSSs have been discussed. Also, we study the similarity measures on CIVNSSs. Then, an algorithm has been constructed by using the CIVNSS aggregate operator. Finally, to show the impact of CIVNSS in solving real decisio
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38

Ashraf, Al-Quran, and Hassan Nasruddin. "Neutrosophic vague soft expert set theory." October 2, 2016. https://doi.org/10.5281/zenodo.1041639.

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In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.
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39

Majdoleen, Abu Qamar, and Hassan Nasruddin. "Characterizations of Group Theory under Q-Neutrosophic Soft Environment." July 9, 2019. https://doi.org/10.5281/zenodo.3275511.

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Neutrosophic set theory was initiated as a method to handle indeterminate uncertain data. It is identified via three independent memberships represent truth T, indeterminate I and falsity F membership degrees of an element. As a generalization of neutrosophic set theory, Q-neutrosophic set theory was established as a new hybrid model that keeps the features of Q-fuzzy soft sets which handle two-dimensional information and the features of neutrosophic soft sets in dealing with uncertainty. Different extensions of fuzzy sets have been already implemented to several algebraic structures, such as
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40

Said, Broumi, Deli Irfan, and Smarandache Florentin. "NEUTROSOPHIC PARAMETRIZED SOFT SET THEORY AND ITS DECISION MAKING." April 6, 2014. https://doi.org/10.5281/zenodo.49146.

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 In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also give an example which shows that they can be successfully applied to problem that contain indeterminacy. 
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41

Qaisar, Khan, Mahmood Tahir, and Hassan Nasruddin. "Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making." May 21, 2019. https://doi.org/10.5281/zenodo.3075167.

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Smarandache introduced the concept of neutrosophic set which is the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical tool to handle incomplete, inconsistance and vague information. In this work, we propose the concept of multi Q-single valued neutrosophic soft expert set and its basic operations such as, union, intersection, complement, And and OR. Further, we construct an algorithm for decision-making method on multi Q-SVNSES. Finally, an example is provided to show the practicality and effectiveness of the proposed algorithm which consist of indeterminate and inc
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42

R.Uma, Murugadas P., and S.Sriram. "Section of Fuzzy Neutrosophic Soft Matrix." May 22, 2019. https://doi.org/10.5281/zenodo.3130342.

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Fuzzy sets , theory of intuitionistic fuzzy sets , theory of vague sets, theory of interval Mathematics and theory of rough sets which can be considered as Mathematical tools for dealing with uncertainities.
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43

Said, Broumi, Smarandache Florentin, and Kumar Maji Pabitra. "Intuitionistic Neutrosphic Soft Set over Rings." May 15, 2015. https://doi.org/10.5281/zenodo.30200.

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44

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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45

Said, Broumi, Deli Irfan, and Smarandache Florentin. "Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making." April 2, 2015. https://doi.org/10.5281/zenodo.30196.

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In this work, we present definition of interval valued neutrosophic parameterized (IVNP-)soft set and its operations. Then we define parameter reduction method for IVNP-soft set.We also give an example which shows that they can be successfully applied to problem that contains indeterminacy.
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46

Sudipta, Gayen, Smarandache Florentin, Jha Sripati, Kumar Singh Manoranjan, Broumi Said, and Kumar Ranjan. "Soft Subring Theory Under Interval-valued Neutrosophic Environment." October 4, 2020. https://doi.org/10.5281/zenodo.4065433.

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  The primary goal of this article is to establish and investigate the idea of interval-valued neutrosophic soft subring. Again, we have introduced function under interval-valued neutrosophic soft environment and investigated some of its homomorphic attributes. Additionally, we have established product of two intervalvalued neutrosophic soft subrings and analyzed some of its fundamental attributes. Furthermore, we have presented the notion of interval-valued neutrosophic normal soft subring and investigated some of its algebraic properties and homomorphic attributes.  
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47

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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48

Said, Broumi, Deli Irfan, and Smarandache Florentin. "Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making." August 21, 2014. https://doi.org/10.5281/zenodo.49001.

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 In this work, we present definition of interval valued neutrosophic parameterized (IVNP-)soft set and its operations. Then we define parameter reduction method for IVNP-soft set.We also give an example which shows that they can be successfully applied to problem that contains indeterminacy. 
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49

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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50

Mukherjee, Anjan, and Sadhan Sarkar. "A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems." Neutrosophic Sets and Systems 8, 2015 (April 15, 2015). https://doi.org/10.5281/zenodo.571210.

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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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