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Journal articles on the topic 'Interval neutrosophic set'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

Aiyared, Aiyared, S. Sahaya Jude Dhas, T. T. Raman, and Aiyared Iampan. "New approach towards (g1, g2, g3) neutrosophic normal interval valued set applied to sin trigonometric aggregating operator and its generalization." International Journal of Neutrosophic Science 24, no. 2 (2024): 147–62. http://dx.doi.org/10.54216/ijns.240213.

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We introduce the concept of sine trigonometric (g1, g2, g3) neutrosophic normal interval valued set. An identifying sine trigonometric (g1, g2, g3)neutrosophic normal interval valued set is a combination of (g1, g2, g3) neutrosophic interval valued set and neutrosophic interval valued set. We communicate the new aggregating operator such as sine trigonometric (g1, g2, g3) neutrosophic normal interval valued weighted averaging, sine trigonometric (g1, g2, g3) neutrosophic normal interval valued weighted geometric, sine trigonometric generalized (g1, g2, g3) neutrosophic normal interval valued w

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3

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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4

Broumi, Said, and Florentin Smarandache. "Correlation Coefficient of Interval Neutrosophic Set." Applied Mechanics and Materials 436 (October 2013): 511–17. http://dx.doi.org/10.4028/www.scientific.net/amm.436.511.

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5

Haibin, Wang, Madiraju Praveen, Zhang Yanqing, and Sunderraman Rajshekhar. "Interval Neutrosophic Sets." September 7, 2014. https://doi.org/10.5281/zenodo.32260.

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Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it interval neutrosophic set (INS).We prove various properties of INS, which are connected to the operations and relations over INS. Fi

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Haibin, Wang Yan-Qing Zhang Member IEEE Rajshekhar Sunderraman. "Truth-Value Based Interval Neutrosophic Sets." December 6, 2014. https://doi.org/10.5281/zenodo.34917.

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Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it truth-value based interval neutrosophic set. We provide various properties of truth-value based interval neutrosophic sets, which are connected to the operations

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7

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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8

Surapati, Pramanik. "Interval Pentapartitioned Neutrosophic Sets." April 16, 2023. https://doi.org/10.5281/zenodo.7832745.

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Pentapartitioned neutrosophic set is a powerful mathematical tool, which is the extension of neutrosophic set and n-valued neutrosophic refined logic for better designing and modeling real-life problems. A generalization of the notion of pentapartitioned neutrosophic set is introduced. The new notion is called Interval Pentapartitioned Neutrosophic set (IPNS). Pentapartitioned neutrosophic set is developed by combining the pentapartitioned neutrosophic set and interval neutrosophic set. We define several set theoretic operations of IPNSs, namely, inclusion, complement, intersection. We also es

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Surapati, Pramanik. "Interval quadripartitioned Neutrosophic Sets." October 2, 2022. https://doi.org/10.5281/zenodo.7135267.

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Quadripartitioned neutrosophic set is a mathematical tool, which is the extension of neutrosophic set and n-valued neutrosophic refined logic for dealing with real-life problems. A generalization of the notion of quadripartitioned neutrosophic set is introduced. The new notion is called Interval Quadripartitioned Neutrosophic set (IQNS). Quadripartitioned neutrosophic set is developed by combining the Quadripartitioned neutrosophic set and interval neutrosophic set. Several set theoretic operations of IQNSs, namely, inclusion, complement, and intersection are defined. Various properties of set

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10

Said, Broumi, and Smarandache Florentin. "Interval Neutrosophic Rough Set." July 2, 2014. https://doi.org/10.5281/zenodo.30193.

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This paper combines interval-valued neutrosophic sets and rough sets. It studies rougheness in interval-valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower an upper approximations of interval neutrosophic sets.

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11

Said, Broumi, and Smarandache Florentin. "Interval Neutrosophic Rough Set." May 15, 2014. https://doi.org/10.5281/zenodo.48998.

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This paper combines  interval-valued neutrosophic sets and rough sets. It studies rougheness in    interval-valued neutrosophic sets and some of its properties. Finally we  propose a Hamming distance between lower an upper approximations of interval neutrosophic sets.

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Hazwani, Hashim, Abdullah Lazim, and Al-Quran Ashraf. "Interval Neutrosophic Vague Sets." April 6, 2019. https://doi.org/10.5281/zenodo.2631504.

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Recently, vague sets and neutrosophic sets have received great attention among the scholars and have been applied in many applications. But, the actual theoretical impacts of the combination of these two sets in dealing uncertainties are still not fully explored until now. In this paper, a new generalized mathematical model called interval neutrosophic vague sets is proposed, which is a combination of vague sets and interval neutrosophic sets and a generalization of interval neutrosophic vague sets. Some definitions of interval neutrosophic vague set such as union, complement and intersection

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13

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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Said, Broumi, Deli Irfan, and Smarandache Florentin. "N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis." September 6, 2015. https://doi.org/10.5281/zenodo.49148.

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In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truthfavorite and false-favorite. Then, some distances between n-valued interval neutrosophic sets (NVINS) are proposed. Also, we propose an efficient approach for group multi-criteria decision making based on n-valued interval neutrosophic sets. An application of n-valued interval neutrosophic sets in medical diagnosis problem is given.

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Said, Broumi, Deli Irfan, and Smarandache Florentin. "N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis." May 2, 2015. https://doi.org/10.5281/zenodo.30243.

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In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truthfavorite and false-favorite. Then, some distances between n-valued interval neutrosophic sets (NVINS) are proposed. Also, we propose an efficient approach for group multi-criteria decision making based on n-valued interval neutrosophic sets. An application of n-valued interval neutrosophic sets in medical dia

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16

V., S. Subha, and Dhanalakshmi P. "Some operations on rough bipolar interval neutrosophic sets." September 7, 2021. https://doi.org/10.5281/zenodo.5486275.

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In this study we introduce the concept of rough bipolar interval neutrosophic sets which is a combination of rough sets and bipolar interval neutrosophi sets. Also we define union, complement, intersection and some interesting properties of this set.

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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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Said, Broumi, and Smarandache Florentin. "Interval Neutrosophic Rough Set." July 12, 2015. https://doi.org/10.5281/zenodo.30195.

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This Paper combines interval- valued  neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.

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Florentin, Smarandache. "Refined Literal Indeterminacy and the Multiplication Law of Subindeterminacies." September 6, 2015. https://doi.org/10.5281/zenodo.49153.

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 In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, neutrosophic intervals, neutrosophic dual number, neutrosophic special dual number, neutrosophic special quasi dual number, neutrosophic linguistic number, neutrosophic linguistic interval-style number, neutrosophic hypercomplex numbers of dimension n, and elementary neutrosophic algebraic structures. 

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20

TAHIR, MAHMOOD, YE JUN, and KHAN QAISAR. "Neural Computing and Applications BIPOLAR INTERVAL NEUTROSOPHIC SET AND ITS APPLICATION IN MULTICRITERIA DECISION MAKING." May 13, 2015. https://doi.org/10.5281/zenodo.32247.

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In this paper we combine Bipolar valued fuzzy sets and interval neutrosophic set to introduce the concept of bipolar interval neutrosophic sets. We de ne the union, complement, intersection and containement of bipolar interval neutrosophic sets. Also we de ned BINWA operator and BINWG and estiblished a MADM method for BINSs.

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21

Peide, Liu, and Shi Lanlan. "The Generalized Hybrid Weighted Average Operator Based on Interval Neutrosophic Hesitant Set and Its Application to Multiple Attribute Decision Making." March 15, 2015. https://doi.org/10.5281/zenodo.32282.

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The Neutrosophic set and Hesitant set are the important tools to describe the fuzzy information, in this paper, we combine the interval neutrosophic sets (INSs) and interval valued hesitant fuzzy sets (IVHFSs), and propose the concept of the interval neutrosophic hesitant fuzzy set (INHFS) in order to use the advantages of them. Then we present the operations and comparison method of INHFS, and develop some new aggregation operators for the interval neutrosophic hesitant fuzzy information, including interval neutrosophic hesitant fuzzy generalized weighted (INHFGWA) operato

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22

Peide, Liu, and Shia Lanlan. "The Generalized Hybrid Weighted Average Operator Based on Interval Neutrosophic Hesitant Set and Its Application to Multiple Attribute Decision Making." October 6, 2015. https://doi.org/10.5281/zenodo.34908.

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The Neutrosophic set and Hesitant set are the important and effective tools to describe the uncertain information, in this paper, we combine the interval neutrosophic sets (INSs) and interval valued hesitant fuzzy sets (IVHFSs), and propose the concept of the interval neutrosophic hesitant fuzzy set (INHFS) in order to use the advantages of them.

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23

Kalyan, Mondal, Pramanik Surapati, and C. Giri Bibhas. "Interval Neutrosophic Tangent Similarity Measure Based MADM strategy and its Application to MADM Problems." April 28, 2018. https://doi.org/10.5281/zenodo.1235201.

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In this paper, tangent similarity measure of interval valued neutrosophic sets is proposed and its properties are examined. The concept of interval valued neutrosophic set is a powerful mathematical tool to deal with incomplete, indeterminate and inconsistent information. The concept of this tangent similarity measure is based on interval valued neutrosophic information.

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

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

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

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

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Florentin, Smarandache. "Three Decades of Neutrosophic and Plithogenic Theories with their Applications (1995 - 2024)." September 10, 2024. https://doi.org/10.5281/zenodo.13989101.

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Zadeh introduced the degree of membership/truth (T) in 1965 and defined the fuzzy set. Atanassov introduced the degree of nonmembership/falsehood (F) in 1986 and defined the intuitionistic fuzzy set. Smarandache introduced the degree of indeterminacy/neutrality (I) as independent component in 1995 (published in 1998) and he defined the neutrosophic set on three components: (T, I, F) = (Truth, Indeterminacy, Falsehood), where in general T, I, F are subsets of the interval [0, 1]; in particular T, I, F may be intervals, hesitant sets, single-values, etc.; Indet

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27

Ye, Jun. "Exponential operations and aggregation operators of interval neutrosophic sets and their decision making methods." September 4, 2016. https://doi.org/10.5281/zenodo.235671.

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An interval neutrosophic set (INS) is a subclass of a neutrosophic set and a generalization of an interval-valued intuitionistic fuzzy set, and then the characteristics of INS are independently described by the interval numbers of its truth-membership, indeterminacy-membership, and falsity-membership degrees. However, the exponential parameters (weights) of all the existing exponential operational laws of INSs and the corresponding exponential aggregation operators are crisp values in interval neutrosophic decision making problems.

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28

Surapati, Pramanik, Dalapati Shyamal, Alam Shariful, Kumar Roy Tapan, and Smarandache F. "Neutrosophic Cubic MCGDM Method Based on Similarity Measure." June 19, 2017. https://doi.org/10.5281/zenodo.831935.

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The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and interval valued neutrosophic set. We define similarity measure for neutrosophic cubic sets and prove some of its basic properties. We present a new multi criteria group decision making method with linguistic variables in neutrosophic cubic set environment. Finally, we present a numerical example to demonstrate the usefulness and applicability of the proposed method.

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Said, Broumi, and Smarandache Florentin. "Correlation Coefficient of Interval Neutrosophic Set." November 19, 2014. https://doi.org/10.5281/zenodo.30149.

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Said, Broumi, and Smarandache Florentin. "Correlation Coefficient of Interval Neutrosophic Set." October 31, 2013. https://doi.org/10.5281/zenodo.48908.

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In this paper we introduce for the first time the concept of correlation coefficients of  interval valued neutrosophic set (INS for short).  Respective numerical examples are presented. 

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Said, Broumi, and Smarandache Florentin. "Correlation Coefficient of Interval Neutrosophic Set." July 6, 2013. https://doi.org/10.5281/zenodo.49131.

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 In this paper we introduce for the first time the concept of correlation coefficients of  interval valued neutrosophic set (INS for short).  Respective numerical examples are presented. 

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32

Surapati, Pramanik, Dalapati Shyamal, Alam Shariful, and Kumar Roy Tapan. "NC-TODIM Based MAGDM under Neutrosophic Cubic Set Environment." August 27, 2017. https://doi.org/10.5281/zenodo.1413161.

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Neutrosophic cubic set is the hybridization of the concept of neutrosophic set and interval neutrosophic set. Neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously.

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Tahir, Mahmood, and Khan Qaisar. "Interval neutrosophic finite switchboard state machine." July 11, 2016. https://doi.org/10.5281/zenodo.236014.

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In this paper we introduced the concept of interval neutrosophic finite state machine, interval neutrosophic finite switchboard state machine using the notion of interval neutrosophic set. We also introduced the concept of homomorphism and strong homomorphism of interval neutrosophic finite state machine.

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Muhammad, Saqlain, and Long Xin Xiao. "Interval Valued, m-Polar and m-Polar Interval Valued Neutrosophic Hypersoft Sets." October 4, 2020. https://doi.org/10.5281/zenodo.4065475.

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  Decision making is a complex issue due to vague, imprecise and indeterminate environment specially, when attributes are more than one, and further bifurcated. To solve such type of problems, concept of neutrosophic hypersoft set (NHSS) was proposed [1]. The purpose of this paper is to provide the extension of NHSS into: Interval Valued, m-Polar and m-Polar interval valued Neutrosophic Hypersoft sets. The definitions of proposed extensions and mathematical operations are discussed in detail with suitable examples. Finally, concluded the present work with the future direction.  

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Surapati, Pramanik, and Mondal Kalyan. "Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis." May 17, 2015. https://doi.org/10.5281/zenodo.32259.

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This purpose of this paper is to introduce multi-attribute decision making based on the concept of interval neutrosophic sets. While the concept of neutrosophic sets is a powerful tool to deal with indeterminate and inconsistent data, the interval neutrosophic sets is also a powerful mathematical tool as well as more flexible to deal with incompleteness. The rating of all alternatives is expressed in terms of interval neutrosophic values characterized by interval truth-membership degree, interval indeterminacy-membership degree, and interval falsity-membership degree.

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36

Said, Broumi, and Smarandache Florentin. "New Operations on Interval Neutrosophic Sets." November 2, 2014. https://doi.org/10.5281/zenodo.30236.

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An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In this paper, three new operations based on the arithmetic mean, geometrical mean, and respectively harmonic mean are defined on interval neutrosophic sets.

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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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Mithun, Datta. "Interval Valued Pentapartitioned Neutrosophic Set." November 30, 2023. https://doi.org/10.5281/zenodo.10224159.

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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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40

Rana, Muhammad Zulqarnain, Long Xin Xiao, Saqlain Muhammad, Saeed Muhammad, Smarandache Florentin, and Irfan Ahamad Muhammad. "Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties." February 18, 2021. https://doi.org/10.5281/zenodo.4549352.

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Multi-criteria decision-making (MCDM) focuses on coordination, choice and planning issues, including multi-criteria. the neutrosophic soft set cannot handle environments involving multiple attributes. In order to overcome these obstacles, the neutrosophic hypersoft set (NHSS) and Interval Value neutrosophic hypersoft set (IVNHSS) are defined. In this paper, we extend the concept of IVNHSS with basic properties. We also developed some basic operations on IVNHSS such as union, intersection, addition, difference, Truth-favorite, and False-favorite, etc. with their desirable properties. Finally, t

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41

Rıdvan, Şahin. "Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment." March 9, 2015. https://doi.org/10.5281/zenodo.23144.

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A neutrosophic set is a more general platform, which can be used to present uncertainty, imprecise, incomplete and inconsistent. In this paper a score function and an accuracy function for single valued neutrosophic sets is firstly proposed to make the distinction between them. Then the idea is extended to interval neutrosophic sets. A multi-criteria decision making method based on the developed score-accuracy functions is established in which criterion values for alternatives are single valued neutrosophic sets and interval neutrosophic sets. In decision making process, the neutrosophic weigh

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42

A.Bobin and V.Chinnadurai. "Interval-valued intuitionistic neutrosophic hypersoft TOPSIS method based on correlation coefficient." October 2, 2022. https://doi.org/10.5281/zenodo.7135386.

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In multi-criteria decision-making problems, we may have to deal with numbers that are in interval forms, like those of membership, non-membership grades and indeterminacy grades representing unique attributes of elements. When decision-makers come across such an environment, the decisions are harder to make and the most significant factor is that we need to combine these interval numbers to generate a single real number, which can be done using aggregation operators or score functions. To overcome this hindrance, we introduce the notion of interval-valued intuitionistic neutrosophic hypersoft

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43

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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P.D., Liu, Tang G.L., and Liu W.L. "Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making." May 21, 2019. https://doi.org/10.5281/zenodo.3073193.

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Jun, Je. "The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments." October 17, 2015. https://doi.org/10.5281/zenodo.32281.

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Sudipta, Gayen, Smarandache Florentin, Jha Sripati, and Kumar Ranjan. "introduction to Interval-valued Neutrosophic Subring." October 4, 2020. https://doi.org/10.5281/zenodo.4065437.

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  The main purpose of this article is to develop and study the notion of interval-valued neutrosophic subring. Also, we have studied some homomorphic characteristics of interval-valued neutrosophic subring. Again, we have defined the concept of product of two interval-valued neutrosophic subrings and analyzed some of its important properties. Furthermore, we have developed the notion of interval-valued neutrosophic normal subring and studied some of its basic characteristics and homomorphic properties.  

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Faisal, Al-Sharqi, Al-Quran Ashraf, Ghafur Ahmad Abd, and Broumi Said. "Interval-Valued Complex Neutrosophic Soft Set and its Applications in Decision-Making." February 28, 2021. https://doi.org/10.5281/zenodo.4568742.

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  In this paper, the notion of the interval valued complex neutrosophic soft set (IV-CNSS) is defined as a combination of interval valued complex neutrosophic set and soft set. Then, we introduce the IV-CNSS’s operations such as union, intersection and complement. To explore the study further, we present some basic operational rules, and investigate their properties. A new algorithm is developed by transforming the interval complex neutrosophic soft values from complex space to the real space using a practical formula which gives a decision-making with a simple computational process

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Smarandache, Florentin. "Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets." July 10, 2016. https://doi.org/10.5281/zenodo.57411.

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We have proposed since 1995 the existence of degrees of membership of an element with respect to a neutrosophic set to also be partially or totally above 1 (overmembership), and partially or totally below 0 (undermembership) in order to better describe our world problems [published in 2007].

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T., Nanthini, and Pushpalatha A. "Interval Valued Neutrosophic Topological Spaces." March 21, 2020. https://doi.org/10.5281/zenodo.3723139.

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Within this paper, we present and research the definition of interval valued neutrosophic topological space along with interval valued neutrosophic finer and interval valued neutrosophic coarser topologies. We also describe interval valued neutrosophic interior and closer of an interval valued neutrosophic set. Interval valued neutrosophic subspace topology also studied. Some examples and theorems are presented concerning this concept.

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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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