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Journal articles on the topic 'Interval valued fuzzy neutrosophic soft set'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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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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Palanikumar, M., Aiyared Iampan, Said Broumi, and G. G.Balaji. "Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making." International Journal of Neutrosophic Science 22, no. 1 (2023): 114–23. http://dx.doi.org/10.54216/ijns.220109.

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In this paper, we present the Pythagorean neutrosophic interval valued fuzzy soft set. This is a generalization of the Pythagorean interval valued fuzzy soft set as well as the neutrosophic interval valued fuzzy soft set. It is discussed in this paper how an aggregated operation is used to aggregate the decision matrix of PNIVS. There are a number of extensions to the normosophic fuzzy soft sets that involve the use of multi-criteria decisionmaking. The aim of this study is to develop a score function based on aggregating TOPSIS methods in order to find ideal solutions for PNIVS that have both

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4

Aiyared, Aiyared, G. Manikandan, T. T. Raman, K. Arulmozhi, and Aiyared Iampan. "Type-II q-rung neutrosophic interval valued soft sets." International Journal of Neutrosophic Science 23, no. 3 (2024): 318–28. http://dx.doi.org/10.54216/ijns.230326.

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In this study, the theory of the Type-II q-rung neutrosophic interval valued soft set (Type-II q-rung NIVS) is introduced. We also define a few operations based on the Type-II q-rung NIVS set. Type-II q-rung NIVS sets are formed by extending neutrosophic interval valued soft (NIVS) sets and q-rung fuzzy soft sets. Type-II q-rung NIVS sets and their similarity measures. An illustrative example illustrates how they can be used to successfully address uncertainty-related problems.

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Naveed, Hamza, and Saalam Ali. "Multi-Criteria Decision-Making Approach Based on Correlation Coefficient for Multi-Polar Interval-Valued Neutrosophic Soft Set." Neutrosophic Systems with Applications 24 (December 1, 2024): 18–33. https://doi.org/10.61356/j.nswa.2024.24417.

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The correlation coefficient between two factors is crucial in statistical computation, indicating the extent and evolution of the appropriate link. The precision of applicability evaluations frequently relies on the thoroughness and caliber of data obtained from a certain dataset. Statistical research sometimes entails data marked by intrinsic trade-offs and uncertainty. This study seeks to present m-polar interval-valued neutrosophic soft sets (mPIVNSSs) through the integration of m-polar fuzzy sets with interval-valued neutrosophic soft sets. The suggested mPIVNSS structure is a significantl

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Zulqarnain, Rana Muhammad, Imran Siddique, Aiyared Iampan, and Ebenezer Bonyah. "Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem." Computational Intelligence and Neuroscience 2021 (November 10, 2021): 1–29. http://dx.doi.org/10.1155/2021/7211399.

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Similarity measures (SM) and correlation coefficients (CC) are used to solve many problems. These problems include vague and imprecise information, excluding the inability to deal with general vagueness and numerous information problems. The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSS) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set and then study various operations based on the proposed notion, such as AND operator, OR operator, truth-favorite, and false-favorite operators with their properties. This research

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Al-Sharqi, Faisal Al, Ashraf Al Al-Quran, Noor Kareem Assi Halaf, Mona Aladil, and Maha M. Rasheed. "Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings." International Journal of Neutrosophic Science 22, no. 3 (2023): 53–68. http://dx.doi.org/10.54216/ijns.220304.

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Soft set(SS) is one of the soft computing techniques that plays an important role in addressing the hiddenness and uncertainty associated with uncertain data. In other hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this h

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Rahman, Atiqe Ur, Muhammad Saeed, Muhammad Arshad, and Salwa El-Morsy. "Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set." Applied Computational Intelligence and Soft Computing 2021 (December 25, 2021): 1–28. http://dx.doi.org/10.1155/2021/4368770.

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Hypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function. This type of function maps the multi-subparametric tuples to the power set of the universe. It focuses on the partitioning of each attribute into its attribute-valued set that is missing in existing soft-set-like structures. This study aims to introduce novel concepts of complex intuitionistic fuzzy set and complex neutrosophic set under the hypersoft set environment wit

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Palanikumar, M., K. Arulmozhi, Aiyared Iampan, and Said Broumi. "Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets." International Journal of Neutrosophic Science 20, no. 1 (2023): 85–105. http://dx.doi.org/10.54216/ijns.200108.

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The theory of type-II generalized Pythagorean neutrosophic interval valued soft set (Type-II PyNSIVS) and its application to real problems are introduced in this study. Additionally, we define a few operations using the type-II PyNSIVS set. The Pythagorean neutrosophic interval valued soft (PyNSIVS) set and Pythagorean fuzzy soft set are both generalized to form the type-II PyNSIVS set. Complement, union, intersection, AND, and OR are some examples of operations that we define. In particular, we demonstrate the applicability of De Morgan’s laws, associative laws, and distributive laws in type-

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Palanikumar, M., Aiyared Iampan, and Said Broumi. "MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators." International Journal of Neutrosophic Science 19, no. 3 (2022): 85–94. http://dx.doi.org/10.54216/ijns.190308.

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In this study, we presented a new generalization of the Fermatean interval valued fuzzy soft set (FIVFSS) and the neutrosophic interval valued soft set called the neutrsophic Fermatean interval valued soft set (NSFIVSS). The NSFIVSS decision matrix aggregated operations are the topic of our current discussion. Strong points of view for the generalization of the interval valued fuzzy soft set (IVFSS) known as multi-criteria group decision making (MCGDM) are the TOPSIS and VIKOR techniques. We discuss a score function that combines TOPSIS, VIKOR, and NSFIVSS-positive ideal solution (PIS) and NSF

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Saeed, Muhammad, Kinza Kareem, Fatima Razzaq, and Muhammad Saqlain. "Unveiling Efficiency: Investigating Distance Measures in Wastewater Treatment Using Interval-Valued Neutrosophic Fuzzy Soft Set." Neutrosophic Systems with Applications 15 (January 25, 2024): 1–15. http://dx.doi.org/10.61356/j.nswa.2024.1512356.

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To reduce the threats that wastewater poses to human health and the environment, water treatment techniques must be improved. The use of a procedure that includes preparation, testing, primary and secondary treatments, filtration, disinfection, and continuous monitoring is therefore required. The objective of this research is to create a hybrid notion that extends the idea of an interval-valued neutrosophic fuzzy soft set (IVNFSS) to an interval-valued neutrosophic fuzzy set. Operations like complement, union, and integration are included in the idea. To improve decision-making accuracy, a qua

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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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Mandal, Debabrata. "A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings." International Journal of Fuzzy System Applications 10, no. 3 (2021): 1–17. http://dx.doi.org/10.4018/ijfsa.2021070101.

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The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and ca

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14

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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15

R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong> In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment. <strong>Methods:</strong> Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed. <strong>Findings:</strong> The tnorm , tconorm, accuracy function and plithogeni

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Aiyared, Aiyared, M. Palanikumar, and M. S. Malchijah Raj. "Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set." International Journal of Neutrosophic Science 25, no. 3 (2025): 92–105. http://dx.doi.org/10.54216/ijns.250309.

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We present the neutrosophic interval-valued set applied to the q-rung logarithmic operator (q-RLOANIVS). One might develop a q-rung neutrosophic interval-valued set by extending the Pythagorean interval-valued fuzzy set (PIVFS) and neutrosophic set (NS). We discuss the q-Rlogarithimic operator applied neutrosophic interval-valued weighted averaging (q-RLOANIVWA), q-Rlogarithimic operator applied neutrosophic intervalvalued weighted geometric (q-RLOANIVWG), extended q-Rlogarithimic operator applied neutrosophic intervalvalued weighted averaging (q-RELOANIVWA) and extended q-Rlogarithimic operat

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Alkhazaleh, Shawkat, and Abdul Razak Salleh. "Generalised Interval-Valued Fuzzy Soft Set." Journal of Applied Mathematics 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/870504.

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We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.

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18

Shao, Songtao, Xiaohong Zhang, Yu Li, and Chunxin Bo. "Probabilistic Single-Valued (Interval) Neutrosophic Hesitant Fuzzy Set and Its Application in Multi-Attribute Decision Making." Symmetry 10, no. 9 (2018): 419. http://dx.doi.org/10.3390/sym10090419.

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The uncertainty and concurrence of randomness are considered when many practical problems are dealt with. To describe the aleatory uncertainty and imprecision in a neutrosophic environment and prevent the obliteration of more data, the concept of the probabilistic single-valued (interval) neutrosophic hesitant fuzzy set is introduced. By definition, we know that the probabilistic single-valued neutrosophic hesitant fuzzy set (PSVNHFS) is a special case of the probabilistic interval neutrosophic hesitant fuzzy set (PINHFS). PSVNHFSs can satisfy all the properties of PINHFSs. An example is given

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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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Zhang, Haidong, Lianglin Xiong, and Weiyuan Ma. "On Interval-Valued Hesitant Fuzzy Soft Sets." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/254764.

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By combining the interval-valued hesitant fuzzy set and soft set models, the purpose of this paper is to introduce the concept of interval-valued hesitant fuzzy soft sets. Further, some operations on the interval-valued hesitant fuzzy soft sets are investigated, such as complement, “AND,” “OR,” ring sum, and ring product operations. Then, by means of reduct interval-valued fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to interval-valued hesitant fuzzy soft sets based on decision making and some numerical examples are provided to illustrate the developed

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Borzooei, Rajab Ali, Hee Sik Kim, Young Bae Jun, and Sun Shin Ahn. "MBJ-neutrosophic subalgebras and filters in $ BE $-algebras." AIMS Mathematics 7, no. 4 (2022): 6016–33. http://dx.doi.org/10.3934/math.2022335.

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<abstract><p>The concept of a neutrosophic set, which is a generalization of an intuitionistic fuzzy set and a para consistent set etc., was introduced by F. Smarandache. Since then, it has been studied in various applications. In considering a generalization of the neutrosophic set, Mohseni Takallo et al. used the interval valued fuzzy set as the indeterminate membership function because interval valued fuzzy set is a generalization of a fuzzy set, and introduced the notion of MBJ-neutrosophic sets, and then they applied it to BCK/BCI-algebras. The aim of this paper is to apply th

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M., M., Sadeq Damrah, Mutaz M. Abbas Ali, Abdallah Al Al-Husban, and M. Palanikumar. "Type-I extension Diophantine neutrosophic interval valued soft set in real life applications for a decision making." International Journal of Neutrosophic Science 24, no. 4 (2024): 151–64. http://dx.doi.org/10.54216/ijns.240411.

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We describe certain operations and present the theory of the Type-I extension Diophantine neutrosophic interval valued soft set. Additionally, we go over an algorithm that uses the Type-I soft set model to address the decision-making problem. We present a similarity measure between two Type-I extension Diophantine neutrosophic interval valued soft sets and talk about how it might be used in practical applications. A few exemplary cases are provided to demonstrate their practical application in solving uncertain problems.

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Ren, Shapu. "Multicriteria Decision-Making Method Under a Single Valued Neutrosophic Environment." International Journal of Intelligent Information Technologies 13, no. 4 (2017): 23–37. http://dx.doi.org/10.4018/ijiit.2017100102.

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A single valued neutrosophic set (SVNS) is a subclass of neutrosophic sets, which generalizes fuzzy sets, interval valued fuzzy set, and intuitionistic fuzzy set. It can be used to easily express incomplete, indeterminate and inconsistent information. This paper introduces the Dice similarity measure of single valued neutrosophic numbers (SVNNs) for ranking SVNNs and a single valued neutrosophic prioritized weighted geometric (SVNPWG) operator for aggregating single valued neutrosophic information. Based on the SVNPWG operator and the Dice similarity measure for SVNNs, a multicriteria decision

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Broumi, Said, S. krishna Prabha, and Vakkas Uluçay. "Interval-Valued Fermatean Neutrosophic Shortest Path Problem via Score Function." Neutrosophic Systems with Applications 11 (October 13, 2023): 1–10. http://dx.doi.org/10.61356/j.nswa.2023.83.

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Contemporary mathematical techniques have been crafted to address the uncertainty of numerous real-world settings, including Fermatean neutrosophic fuzzy set theory. Fermatean neutrosophic fuzzy set is an extension of combining Fermatean and neutrosophic sets. Fermatean neutrosophic set was developed to enable the analytical management of ambiguous data from relatively typical real-world decision-making scenarios. Decision-makers find it challenging to determine the degree of membership (MG) and non-membership (NG) with sharp values due to the insufficient data provided. Intervals MG and NG ar

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Rheem, Abdul, and Musheer Ahmad. "APPLICATION OF INTERVAL VALUED FUZZY SET AND SOFT SET." jnanabha 50, no. 02 (2020): 114–21. http://dx.doi.org/10.58250/jnanabha.2020.50213.

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Molodtsov was a father of soft set approach. We can’t easily settle the membership degree in some practical application. So it must be much better to describe interval-valued data instead of explaining membership degree. In this paper, we introduce the latest approach of the interval-valued fuzzy soft set by combining the interval-valued fuzzy set and soft set models. This approach successfully follows distributive, associative and DeMorgan’s laws as well. In the end, a decision problem is solved by this approach.

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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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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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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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Said, Broumi, Deli Irfan, and Smarandache Florentin. "Relations on Interval Valued Neutrosophic Soft Sets." August 3, 2014. https://doi.org/10.5281/zenodo.30306.

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Anjan Mukherjee introduced the concept of interval valued intuitionstic fuzzy soft relation. In this paper we will extend this concept to the case of interval valued neutrosophic soft relation( IVNSS relation for short) which can be discussed as a generalization of soft relations, fuzzy soft relation, intuitionstic fuzzy soft relation, interval valued intuitionstic fuzzy soft relations and neutrosphic soft relations.

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Rana, Muhammad Zulqarnain`, Iampan Aiyared, Siddique Imran, and Abd ElWahed Khalifa Hamiden. "Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem." October 2, 2022. https://doi.org/10.5281/zenodo.7135277.

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The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSSs) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set. The mPIVNSSs is the most generalized form of interval-valued neutrosophic soft set. It can accommodate the truthiness, indeterminacy, and falsity in intervals form. We develop some fundamental operations for mPIVNSS such as AND Operator, OR Operator, Truth-favorite, and False-favorite Operators with their properties. The weighted aggregation operator for mPIVNSS is also established with its properties. Furthermor

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Said, Broumi, and Smarandache Florentin. "Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation." June 9, 2014. https://doi.org/10.5281/zenodo.30204.

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In this paper, we extend the lower and upper soft interval valued intuitionstic fuzzy rough approximations of IVIFS –relations proposed by Anjan et al. to the case of interval valued neutrosophic soft set relation (IVNSS-relation for short).

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Said, Broumi, and Smarandache Florentin. "Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation." May 22, 2014. https://doi.org/10.5281/zenodo.49124.

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 In this paper, we extend the lower and upper soft interval valued intuitionstic fuzzy rough approximations of IVIFS –relations proposed by Anjan et al.  to the case of interval valued neutrosophic soft set relation(IVNSS-relation for short).

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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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Said, Broumi, and Smarandache Florentin. "Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation." May 2, 2012. https://doi.org/10.5281/zenodo.30203.

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In this paper, we extend the lower and upper soft interval valued intuitionstic fuzzy rough approximations of IVIFS –relations proposed by Anjan et al. to the case of interval valued neutrosophic soft set  relation(IVNSS-relation for short).

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Said, Broumi, and Smarandache Florentin. "Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation." May 22, 2014. https://doi.org/10.5281/zenodo.49155.

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 In this paper, we extend the lower and upper soft interval valued intuitionstic fuzzy rough approximations of IVIFS –relations proposed by Anjan et al.  to the case of interval valued neutrosophic soft set relation(IVNSS-relation for short). 

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Broumi, Said, and Florentin Smarandache. "Soft Interval-Valued Neutrosophic Rough Sets." Neutrosophic Sets and Systems 7, 2015 (May 5, 2015). https://doi.org/10.5281/zenodo.571761.

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In this paper, we first defined soft interval-valued 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. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verify the developped algorithm and to demonstrate its practicality and effectiveness.

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Endalkachew, Teshome Ayele, Thillaigovindan Natesan, and Guta Berhanu. "A Two Stage Interval-valued Neutrosophic Soft Set Traffic Signal Control Model for Four Way Isolated signalized Intersections." December 1, 2020. https://doi.org/10.5281/zenodo.4300616.

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One of the major problems of both developed and developing countries is trac congestion in urban road transportation systems.Some of the adverse consequences of trac congestion are loss of productive time ,delay in trans- portation,increase in transportation cost,excess fuel consumption,safety of people,increase in air pollution level and dis- ruption of day-to-day activities.Researches have shown that among others,traditional trac control system is one of the main reasons for trac congestion at trac junctions.Most countries through out the world use pre-timed/ xed cycle time trac control syst

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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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Said, Broumi, Bakali Assia, Talea Mohamed, Smarandache Florentin, and Karaaslan Faruk. "Interval Valued Neutrosophic Soft Graphs." April 30, 2018. https://doi.org/10.5281/zenodo.1237905.

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In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties.

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Yildiray, Celik, and Kara Guven. "Combination of interval-valued neutrosophic soft sets and graph theory." April 7, 2018. https://doi.org/10.5281/zenodo.1412535.

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In this paper, we combine the concepts of interval-valued neutrosophic soft set and graph theory. We introduce notations of interval-valued neutrosophic soft graph and complete interval-valued neutrosophic soft graph. We also present several different types operations including cartesian product, union and intersection on interval-valued neutrosophic soft graphs and investigate some properties of them.

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SUDHAKAR.V.J, ALI. A. MOHAMED, and VINOTH.D. "INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH." May 20, 2019. https://doi.org/10.5281/zenodo.3053289.

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The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophicsets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to the graph theory. We introduce certain types of interval valued signed neutrosophc graphs (IVNG) and investigate some of their properties with proof and example.

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K., Kalaiarasi, and R.Divya. "Strong Interval-valued Neutrosophic Intuitionistic Fuzzy Graph." May 22, 2019. https://doi.org/10.5281/zenodo.3134616.

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In this paper, the strong interval-valued neutrosophic intuitionistic fuzzy graphs are suggest. Cartesian product, composition and clamp of two strong interval-valued neutrosophic intuitionstic fuzzy graphs defined. Some propositions involving strong interval-valued neutrosophic intuitionistic fuzzy graphs are stated and proved. We introduce the opinion of product of two interval-valued intuitionistic fuzzy graphs and investigate some of their properties. We discuss some propositions on Cartesian product and define some properties on it. Strong interval-valued neutrosophic intuitionistic fuzzy

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Anjan, Mukherje, and Sarkar Sadhan. "Several Similarity Measures of Interval Valued Neutrosophic Soft Sets and Their Application in Pattern Recognition Problems." July 1, 2015. https://doi.org/10.5281/zenodo.22641.

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Interval valued neutrosophic soft set introduced by Irfan Deli in 2014 is a generalization of neutrosophic set introduced by F. Smarandache in 1995, which can be used in real scientific and engineering applications. In this paper the Hamming and Euclidean distances between two interval valued neutrosophic soft sets (IVNS sets) are defined and similarity measures based on distances between two interval valued neutrosophic soft sets are proposed.

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Şahin, Rıdvan. "Neutrosophic Hierarchical Clustering Algoritms." Neutrosophic Sets and Systems 2, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571513.

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Interval neutrosophic set (INS) is a generalization of interval valued intuitionistic fuzzy set (IVIFS), whose the membership and non-membership values of elements consist of fuzzy range, while single valued neutrosophic set (SVNS) is regarded as extension of intuitionistic fuzzy set (IFS). In this paper, we extend the hierarchical clustering techniques proposed for IFSs and IVIFSs to SVNSs and INSs respectively.

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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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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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Parimala, Mani, Muthusamy Karthika, Jafari Saeid, Smarandache Florentin, and Ramalingam Udhayakumar. "Decision-Making via Neutrosophic Support Soft Topological Spaces." June 13, 2018. https://doi.org/10.5281/zenodo.1410240.

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The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set.

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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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Jun, Ye. "Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making." June 2, 2014. https://doi.org/10.5281/zenodo.1041723.

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Neutrosophic set is a powerful general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval-valued intuitionistic fuzzy set from philosophical point of view.

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Abhijit, Saha, and Broumi Said. "New Operators on Interval Valued Neutrosophic Sets." August 31, 2019. https://doi.org/10.5281/zenodo.3382525.

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As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed by F. Smarandache to represent imprecise, incomplete and inconsistent information existing in the real world. A neutrosophic set is characterized by a truth-membership function, an indeterminacymembership function, and a falsity-membership function. An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In this paper we have defined some new operators on interval valued neutrosophic sets and studied their propertie

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