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Relevant bibliographies by topics / Interval neutrosophic set (INS)

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Academic literature on the topic 'Interval neutrosophic set (INS)'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Interval neutrosophic set (INS)"

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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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Yang, Han, Xiaoman Wang, and Keyun Qin. "New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making." Symmetry 11, no. 3 (2019): 370. http://dx.doi.org/10.3390/sym11030370.

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Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, som

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Yang, Hai-Long, Yan-Ling Bao, and Zhi-Lian Guo. "Generalized interval neutrosophic rough sets and its application in multi-attribute decision making." Filomat 32, no. 1 (2018): 11–33. http://dx.doi.org/10.2298/fil1801011y.

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Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues. In this paper, we put forward generalized interval neutrosophic rough sets based on interval neutrosophic relations by combining interval neutrosophic sets with rough sets. We explore the hybrid model through constructive approach as well as axiomatic approach.

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Rosli, Siti Nur Idara, and Mohammad Izat Emir Zulkifly Zulkifly. "Interval Neutrosophic Cubic Bézier Curve Approximation Model for Complex Data." Malaysian Journal of Fundamental and Applied Sciences 20, no. 2 (2024): 336–46. http://dx.doi.org/10.11113/mjfas.v20n2.3240.

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Complex data is defined as data that has the qualities of huge data, a lack of data information, and uncertainty. This paper discussed constructing the interval neutrosophic cubic Bézier curve (INCBC) approximation model for complex data. To construct the interval neutrosophic data point (INDP) based on the definition of interval neutrosophic set (INS), interval neutrosophic relation (INR) and interval neutrosophic point (INP). Next is the introduction of an interval neutrosophic control point (INCP) that blends with the theory of interval neutrosophic set and the Bernstein basis function. Lat

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Khan, Qaisar, Rashad A. R. Bantan, and Mohammed Elgarhy. "Applications of Hesitant Interval Neutrosophic Linguistic Schweizer-Sklar Power Aggregation Operators to MADM." Journal of Function Spaces 2022 (March 19, 2022): 1–30. http://dx.doi.org/10.1155/2022/1654820.

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Hesitant interval neutrosophic linguistic sets (HINLSs) are one of the core generalization of various sets, such as neutrosophic set (NS), interval neutrosophic set (INS), and interval neutrosophic linguistic set (INLS). HINLS can represent the uncertainty, inconsistency, and reluctance of assessment specialists by expressing qualitative and quantitative information. The goal of this article is to introduce a novel MADM technique that can account for changes in the semantic environment as well as negative consequences of experts’ excessive evaluation values. First, several innovative operation

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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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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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Khan, Majid, Muhammad Gulistan, Mumtaz Ali, and Wathek Chammam. "The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method." Symmetry 12, no. 4 (2020): 496. http://dx.doi.org/10.3390/sym12040496.

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In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Samrandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS). Neutrosophic cubic set (NCS) is the generalized version of NS and INS. This characteristic makes it an exceptional choice to deal with vague and imprecise data. Aggregation operators are key features of decision-making theory. In recent time

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Su, Limin, Tianze Wang, Lunyan Wang, Huimin Li, and Yongchao Cao. "Project Procurement Method Selection Using a Multi-Criteria Decision-Making Method with Interval Neutrosophic Sets." Information 10, no. 6 (2019): 201. http://dx.doi.org/10.3390/info10060201.

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Project procurement method (PPM) selection influences the efficiency of project implementation. Owners are presented with different options for project delivery. However, selecting the appropriate PPM poses great challenges to owners, given the existence of ambiguous information. The interval neutrosophic set (INS) shows power to handle imprecise and ambiguous information. This paper aims to develop a PPM selection model under an interval neutrosophic environment for owners. The main contributions of this paper are as follows: (1) The similarity measure is innovatively introduced with interval

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Zhang, Hong-yu, Jian-qiang Wang, and Xiao-hong Chen. "Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems." Scientific World Journal 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/645953.

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As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number. However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decision making method. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the r

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Book chapters on the topic "Interval neutrosophic set (INS)"

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Sahni, Ritu, Manoj Sahni, and Nayankumar Patel. "Chi-Square Similarity Measure for Interval Valued Neutrosophic Set." In Advances in Intelligent Systems and Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_46.

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Jayasudha, J., and S. Raghavi. "Introduction to Interval-Valued Neutrosophic Hyper-Soft Expert Set." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-1505-6_4.

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Kraipeerapun, Pawalai, Chun Che Fung, and Warick Brown. "Assessment of Uncertainty in Mineral Prospectivity Prediction Using Interval Neutrosophic Set." In Computational Intelligence and Security. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11596981_160.

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Palanikumar, M., V. Sreelatha Devi, Chiranjibe Jana, and Gerhard Wilhelm Weber. "Multi-Criteria Group Decision-Making q-Rung Neutrosophic Interval-Valued Soft Set TOPSIS Aggregating Operator for the Selection of Diagnostic Health Imaging." In Fuzzy Optimization, Decision-making and Operations Research. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-35668-1_22.

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R., Subha,, and Mohana K. "IMPROVED CORRELATION COEFFICIENTS OF FERMATEAN PENTAPARTITIONED SINGLE VALUED NEUTROSOPHIC SETS AND INTERVAL FERMATEAN PENTAPARTITIONED NEUTROSOPHIC SETS FOR MULTIPLE ATTRIBUTE DECISION MAKING." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch282.

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A correlation coefficient is a statistical measure that helps identify how many changes in one value signal change in another. Wang's single valued neutrosophic sets were improvised into Fermatean Pentapartitioned single valued neutrosophic sets. We investigated the attributes of the interval Fermatean pentapartitioned neutrosophic sets and Fermatean pentapartitioned single-valued neutrosophic sets. Additionally, we have used this idea in many decisionmaking techniques using interval and Fermatean pentapartitioned single valued neutrosophic environments. Eventually we presuming (that) an examp

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Gayen, Sudipta, Florentin Smarandache, Sripati Jha, and Ranjan Kumar. "Interval-Valued Neutrosophic Subgroup Based on Interval-Valued Triple T-Norm." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch010.

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Presently, interval-valued neutrosophic set theory has become an important research topic. It is widely used in various pure as well as applied fields. This chapter will provide some essential scopes to study interval-valued neutrosophic subgroup. Here the notion of interval-valued triple T-norm has been introduced, and based on that, interval-valued neutrosophic subgroup has been defined. Furthermore, some homomorphic characteristics of this notion have been studied. Additionally, based on interval-valued triple T-norm, interval-valued neutrosophic normal subgroup has been introduced and some

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Broumi, Said, Selçuk Topal, Assia Bakali, Mohamed Talea, and Florentin Smarandache. "A Novel Python Toolbox for Single and Interval-Valued Neutrosophic Matrices." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch013.

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Recently, single valued neutrosophic sets and interval valued neutrosophic sets have received great attention among the scholars and have been applied in many applications. These two concepts handle the indeterminacy and consistent information existing in real-life problems. In this chapter, a new Python toolbox is proposed under neutrosophic environment, which consists of some Python code for single valued neutrosophic matrices and interval valued neutrosophic matrices. Some definitions of interval neutrosophic vague set such as union, complement, and intersection are presented. Furthermore,

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Vershinia. S, Ancy, Mohana K,, and Radhika V. R. "NEUTROSOPHIC VAGUE DECISION MAKING MODEL SELECTION OF EDUCATIONAL STREAM FOR HIGHER EDUCATION." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch286.

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The paper introduces a neutrosophic vague decision-making paradigm for selecting a course in higher education. It suggests that parents should choose a course that best meets their child's needs, considering the growing number of options available. The research develops a decisionmaking model using neutrosophic vague multi-attribute decision-making with interval weight information. The model's efficacy is demonstrated through a numerical example

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Duong Truong Thi Thuy. "New Entropy on the Interval-Valued Neutrosophic Set." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2019. https://doi.org/10.3233/faia190177.

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Bathusha, Suber, Sowndharya Jayakumar, and S. Angelin Kavitha Raj. "A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch005.

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The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge

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Conference papers on the topic "Interval neutrosophic set (INS)"

1

Wang, Xingang, and Xin Wang. "An Extended VIKOR Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic Set." In 2019 IEEE 4th Advanced Information Technology, Electronic and Automation Control Conference (IAEAC). IEEE, 2019. http://dx.doi.org/10.1109/iaeac47372.2019.8997691.

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