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Journal articles on the topic 'Fuzzy Neutrosophic soft set'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

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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3

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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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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A., Rajakumari, and Sivakumar S. "N-FUZZY SOFT SUBGROUPS OVER IDEAL STRUCTURES." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 165–68. https://doi.org/10.5281/zenodo.1193687.

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In this paper, we introduced the concept of N-fuzzy soft N−fuzzy neutrosopic soft right ideal, N−fuzzy neutrosopic soft (1, 2)−ideal, N−fuzzy neutrosopic soft bi-ideal of a group, N−fuzzy neutrosopic soft subgroupoid and regular groupoid and its properties. An illustrative examples are also given.

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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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7

Al-Quran, Ashraf, Nasruddin Hassan, and Shawkat Alkhazaleh. "Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty." Symmetry 11, no. 3 (2019): 382. http://dx.doi.org/10.3390/sym11030382.

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In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that ea

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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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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

Muhammad, Wedad Salman, Nada A. Laabi, and Asmaa Ali Zeyad. "On Intuitionistic Fuzzy Neutrosophic Soft Ideal Topological Spaces." European Journal of Theoretical and Applied Sciences 2, no. 1 (2024): 851–62. http://dx.doi.org/10.59324/ejtas.2024.2(1).75.

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The purpose of this paper is to introduce the notion of intuitionistic fuzzy neutronsophic soft ideal in Intuitionistic fuzzy neutronsophic soft set theory. The concept of intuitionistic fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new intuitionistic fuzzy neutronsophic soft topologies from the original one. The basic structure, respecially a basic for such generated Intuitionistic fuzzy neutronsophic soft topologies also studied here. Finally, the notion of compatibility of intuitionistic fuzzy neutronsophic soft ideals with Intui

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11

Wedad, Salman Muhammad, A. Laabi Nada, and Ali Zeyad Asmaa. "On Intuitionistic Fuzzy Neutrosophic Soft Ideal Topological Spaces." European Journal of Theoretical and Applied Sciences 2, no. 1 (2024): 851–62. https://doi.org/10.59324/ejtas.2024.2(1).75.

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The purpose of this paper is to introduce the notion of intuitionistic fuzzy neutronsophic soft ideal in Intuitionistic fuzzy neutronsophic soft set theory. The concept of intuitionistic fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new intuitionistic fuzzy neutronsophic soft topologies from the original one. The basic structure, respecially a basic for such generated Intuitionistic fuzzy neutronsophic soft topologies also studied here. Finally, the notion of compatibility of intuitionistic fuzzy neutronsophic soft ideals with Intui

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Palanikumar, M., Aiyared Iampan, Said Broumi, Lejo J. Manavalan, and K. Sundareswari. "Multi-criteria group decision making method in Pythagorean interval-valued neutrosophic fuzzy soft soft using VIKOR approach." International Journal of Neutrosophic Science 22, no. 1 (2023): 104–13. http://dx.doi.org/10.54216/ijns.220108.

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In contrast to the Pythagorean interval valued fuzzy soft set and the neutrosophic interval valued fuzzy soft set, the Pythagorean neutrosophic interval valued fuzzy soft set is a generalization of these sets. We discuss aggregating PyNIVFS decision matrixes by using aggregated operations. The VIKOR method, which is an extension of neutrosophic fuzzy soft sets, is a powerful method for evaluating multi-criteria group decision making. The score function in this approach is based on the aggregation of the VIKOR method to a PyNIVFSpositive and negative solution. Optimal alternatives are introduce

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13

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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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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Qamar, Majdoleen, and Nasruddin Hassan. "Generalized Q-Neutrosophic Soft Expert Set for Decision under Uncertainty." Symmetry 10, no. 11 (2018): 621. http://dx.doi.org/10.3390/sym10110621.

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Neutrosophic triplet structure yields a symmetric property of truth membership on the left, indeterminacy membership in the centre and false membership on the right, as do points of object, centre and image of reflection. As an extension of a neutrosophic set, the Q-neutrosophic set was introduced to handle two-dimensional uncertain and inconsistent situations. We extend the soft expert set to generalized Q-neutrosophic soft expert set by incorporating the idea of soft expert set to the concept of Q-neutrosophic set and attaching the parameter of fuzzy set while defining a Q-neutrosophic soft

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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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17

Hassan, Nasruddin, Vakkas Uluçay, and Mehmet Şahin. "Q-Neutrosophic Soft Expert Set and its Application in Decision Making." International Journal of Fuzzy System Applications 7, no. 4 (2018): 37–61. http://dx.doi.org/10.4018/ijfsa.2018100103.

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This article describes how Smarandache defined neutrosophic sets to handle problems involving incomplete, indeterminacy and awareness of inconsistency knowledge, and is further developed to neutrosophic soft expert sets by Sahin et al. Adam and Hassan defined multi Q-fuzzy soft sets as an extension to fuzzy soft sets and gave its applications. This article will extend this further by presenting a novel concept of Q-neutrosophic soft expert sets, and define the associated related concepts and basic operations of complement, subset, union, intersection, AND and OR. This novel concept enables the

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18

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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19

Abu Qamar, Majdoleen, and Nasruddin Hassan. "An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making." Symmetry 11, no. 2 (2019): 139. http://dx.doi.org/10.3390/sym11020139.

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A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T , I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic so

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Soumitra, De, and Mishra Jaydev. "Neutrosophic Logic - A Better Approach to Execute Imprecise Queries Through the Neutrosophic Database Model." Indian Journal of Science and Technology 17, no. 29 (2024): 2981–91. https://doi.org/10.17485/IJST/v17i29.673.

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Abstract <strong>Objectives:</strong> The neutrosophic set has a more powerful ability to process imprecise information compared to the vague set. The objective of the authors is to process the uncertain query using vague as well as neutrosophic logic and compare the result. <strong>Methods:</strong> Authors have designed a new architecture to process uncertain queries using vague as well as neutrosophic sets. In the architecture at first, the imprecise query has been taken as input. From the inputted imprecise query uncertain data and fuzzy attributes are identified. Next, usin

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De, Soumitra, and Jaydev Mishra. "Neutrosophic Logic - A Better Approach to Execute Imprecise Queries Through the Neutrosophic Database Model." Indian Journal Of Science And Technology 17, no. 29 (2024): 2981–91. http://dx.doi.org/10.17485/ijst/v17i29.673.

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Objectives: The neutrosophic set has a more powerful ability to process imprecise information compared to the vague set. The objective of the authors is to process the uncertain query using vague as well as neutrosophic logic and compare the result. Methods: Authors have designed a new architecture to process uncertain queries using vague as well as neutrosophic sets. In the architecture at first, the imprecise query has been taken as input. From the inputted imprecise query uncertain data and fuzzy attributes are identified. Next, using the truth membership algorithm the truth membership valu

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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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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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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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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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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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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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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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Muhammad, Saeed, Ur Rahman Atiqe, and Ume-e-Farwa. "Optimal Supplier Selection Via Decision-Making Algorithmic Technique Based on Single-Valued Neutrosophic Fuzzy Hypersoft Set." December 12, 2021. https://doi.org/10.5281/zenodo.5775168.

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Hypersoft set, an extension of soft set, is more flexible and useful as it tackles the limitation of soft set for dealing with scenarios where distinct attributes are further classified into disjoint attribute-valued sets. It replaces single-argument approximate function of soft set with multi-argument approximate function. The main goal of this research is to align existing literature on single-valued neutrosophic fuzzy soft sets with the need for such a multi-argument function. Firstly, the novel notions of single-valued neutrosophic fuzzy hypersoft sets are characterized. Some of its essent

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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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Al-Hijjawi, Sumyyah, Abd Ghafur Ahmad, and Shawkat Alkhazaleh. "From Neutrosophic Soft Set to Effective Neutrosophic Soft Set Generalizations and Applications." International Arab Journal of Information Technology 21, no. 3 (2024). http://dx.doi.org/10.34028/iajit/21/3/13.

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The Neutrosophic Soft Set (NSS) is an advanced and highly effective expansion of soft sets, specifically designed to handle parameterized values of alternatives. As an enhanced version of fuzzy soft sets, it provides a novel mathematical framework that offers significant advantages in dealing with uncertain information. This model is created by merging soft sets and neutrosophic sets, providing a robust approach to uncertainty management. Various algorithms have been proposed for making neutrosophic decisions using NSSs. However, these algorithms neglect external effective that influence the D

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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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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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M.Kavitha, Murugadas P., and S.Sriram. "Minus Ordering on Fuzzy Neutrosophic Soft Matrices." May 20, 2019. https://doi.org/10.5281/zenodo.3054974.

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Aim of this article is to study the idea of minus-ordering on fuzzy neutrosophic soft matrix. It is shown that the minus ordering in the set of all fuzzy neutrosophic soft matrix is a partial ordering. Further some properties of minus ordering on fuzzy neutrosophic soft matrix are discussed.

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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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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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Muhammad, Riaz, and Raza Hashmi Masooma. "Fixed points of fuzzy neutrosophic soft mapping with decision-making." May 20, 2019. https://doi.org/10.5281/zenodo.3051383.

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In this paper, we introduce some operations on a fuzzy neutrosophic soft set (fns-set) by utilizing the theories of fuzzy sets, soft sets and neutrosophic sets. We introduce fns-mappings by using a cartesian product with relations on fns-sets and establish some results on fixed points of an fns-mapping. We present an algorithm to deal with uncertainties in the multi-criteria decision making to slenderize energy crises by using an fns-average operator and a comparison table for fns-sets

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Muhammad, Ihsan, Saeed Muhammad, and Ur Rahman Atiqe. "An intelligent fuzzy parameterized MADM-approach to optimal selection of electronic appliances based on neutrosophic hypersoft expert set." January 14, 2023. https://doi.org/10.5281/zenodo.7536071.

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When compared to its extension, the hypersoft set, which deals with discontinuous attribute-valued sets corresponding to different attributes, the soft set only works with a single set of attributes. Numerous scholars created models based on soft sets to address issues in a variety of domains, including decision-making and medical diagnostics. However, these models only take into account one expert, which causes numerous issues for users, particularly when creating questions. We provide a fuzzy parameterized neutrosophic hypersoft expert set to eliminate this mismatch. In addition to addressin

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Asma, Mahmood, Abbas Mujahid, and Murtaza Ghulam. "Multi-Valued Multi-Polar Neutrosophic Sets with an application in Multi-Criteria Decision-Making." January 14, 2023. https://doi.org/10.5281/zenodo.7536084.

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This research directs to obtain optimum fuzzy soft constants through Bonferroni mean and TOPSIS with the initial data represented in terms of multi-valued m-polar neutrosophic soft set. Multi-valued m-polar neutrosophic soft set is defined in this paper, which is the generalization of m-polar neutrosophic soft set, obtained by combining it with multi-valued neutrosophic soft set. Optimum fuzzy soft constants play a fundamental role for the construction of the system of differential equations which helps to observe the experts, future attitudes. Sometimes experts feel a requirement to rethink t

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Arockiarani, I., and I.R. Sumathi. "Interval Valued Fuzzy Neutrosophic Soft Structure Spaces." July 1, 2015. https://doi.org/10.5281/zenodo.22497.

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In this paper we introduce the topological structure of interval valued fuzzy neutrosophic soft sets and obtain some of its properties. We also investigate some operators of interval valued fuzzy neutrosophic soft topological space. 

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Muhammad, Akram, M. Malik Hafsa, Shahzadi Sundas, and Smarandache Florentin. "Neutrosophic Soft Rough Graphs with Application." September 7, 2018. https://doi.org/10.5281/zenodo.1410879.

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Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathematical models for handling uncertainties and they are mutually related. 

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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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Florentin, Smarandache. "Extensión de Soft Set a Hypersoft Set, y luego a Plithogenic Hypersoft Set." January 1, 2023. https://doi.org/10.5281/zenodo.7519268.

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En este artículo, se generaliza el Soft Set al Hypersoft Set transformando la función F en una función multiatributo. Luego presentamos los híbridos de Crisp, Fuzzy, Intuitionistic Fuzzy, Neutrosophic y Plithogenic Hypersoft Set.

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Kavitha, M., and P. Murugadass. "Eigenspace of a Circulant Fuzzy Neutrosophic Soft Matrix." June 29, 2022. https://doi.org/10.5281/zenodo.6774936.

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The eigen problem of a Circulant Fuzzy Neutrosophic Soft Matrix (CFNSM) in max-min Fuzzy Neutrosophic Soft Algebra (FNSA) is analyzed. By describing all possible types of Fuzzy Neutrosophic Soft Eigenvectors (FNSEvs), eigen space structures of CFNSM is characterized.

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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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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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D., Ajay, and Joseline Charisma J. "Neutrosophic Hypersoft Topological Spaces." February 18, 2021. https://doi.org/10.5281/zenodo.4549382.

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Hypersoft sets have gained more importance as a generalization of soft sets and have been investigated for possible extensions in many fields of mathematics. The main objective of this paper is to introduce Fuzzy Hypersoft Topology and study some of its properties such as neighbourhood of fuzzy hypersoft set, interior hypersoft set and closure fuzzy hypersoft set. Fuzzy hypersoft topology is then extended to Intuitionistic Hypersoft topology, Neutrosophic Hypersoft topology and its basic properties are discussed.

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Qaisar, Khan, Mahmood Tahir, and Hassan Nasruddin. "Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making." May 20, 2019. https://doi.org/10.5281/zenodo.3056558.

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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.

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Florentin, Smarandache. "Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set." May 15, 2019. https://doi.org/10.5281/zenodo.2838716.

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In this paper, we generalize the soft set to the hypersoft set by transforming the function F into a multi-attribute function. Then we introduce the hybrids of Crisp, Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Hypersoft Set.

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Smarandache, Florentin. "Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2159755.

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In this paper, we generalize the soft set to the hypersoft set by transforming the function F into a multi-attribute function. Then we introduce the hybrids of Crisp, Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Hypersoft Set.

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