Academic literature on the topic 'Neutrosophic (cubic) set'

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Journal articles on the topic "Neutrosophic (cubic) set"

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Berna Joyce L. "Pythagorean Neutrosophic Cubic Set." Communications on Applied Nonlinear Analysis 32, no. 6s (2025): 290–94. https://doi.org/10.52783/cana.v32.3295.

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The purpose of this work is to broaden the definition of Neutrosophic Cubic Set (NCS) and Pythagorean Cubic Set (PCS) to Pythagorean Neutrosophic Cubic Set (PNCS). Related qualities are examined and the concepts of T-external, I-external, and F-external Pythagorean Neutrosophic Cubic Set (PNCS) and T-internal, I-internal, and F-internal PNCS are conveyed.
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R. Anitha Cruz and F. Nirmala Irudayam. "More on R-Union and R-Intersection of Neutrosophic Soft Cubic Set." Mathematical Journal of Interdisciplinary Sciences 6, no. 2 (2018): 93–117. http://dx.doi.org/10.15415/mjis.2018.62008.

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R-unions and R-intersections, R-OR, R-AND of Neutrosophic soft cubic sets are introduced and related properties are investigated. We show that the R-union (R-intersection) of internal neutrosophic soft cubic set is also an internal neutrosophic soft cubic set. We show that the R-union and the R-intersection T-external (I-external, F-external) neutrosophic soft cubic sets are also T-external ( I-external, F-external) neutrosophic soft cubic sets. The conditions for the R-intersection of two cubic soft sets to be both an external neutrosophic soft cubic set and an internal neutrosophic soft cubi
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Cruz, R. Anitha, and F. Nirmala Irudayam. "Neutrosophic Soft Cubic Set." International Journal of Mathematics Trends and Technology 46, no. 2 (2017): 88–94. http://dx.doi.org/10.14445/22315373/ijmtt-v46p515.

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R, K. Saini, Ahirwar Ashik, Kushwaha Mukesh, and Singh Seema. "Decision‐Making Approach using Similarity Measures under Neutrosophic Cubic Sets and its Applications in Pattern Recognition Scenarios." Decision‐Making Approach using Similarity Measures under Neutrosophic Cubic Sets and its Applications in Pattern Recognition Scenarios 8, no. 10 (2023): 8. https://doi.org/10.5281/zenodo.10158380.

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By extending the idea of the cubic set, this research study introduces a challenge associated with Neutrosophic Cubic Sets (NCS). We investigate both the ENCS (External Neutrosophic Cubic Set) and INCS (Internal Neutrosophic Cubic Set) properties. Our objective is to show that these sets may successfully deal with problems involving uncertainties. To do this, we suggest a decision-making method that can be adjusted using NCS and a similarity measure. To demonstrate how our strategy works in practice, we offer an example situation. The suggested methodology is specifically made to handle uncert
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Jun, Young Bae, Florentin Smarandache, and Chang Su Kim. "P-union and P-intersection of neutrosophic cubic sets." Analele Universitatii "Ovidius" Constanta - Seria Matematica 25, no. 1 (2017): 99–115. http://dx.doi.org/10.1515/auom-2017-0009.

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Abstract Conditions for the P-intersection and P-intersection of falsity-external (resp. indeterminacy-external and truth-external) neutrosophic cubic sets to be an falsity-external (resp. indeterminacy-external and truth-external) neutrosophic cubic set are provided. Conditions for the P-union and the P-intersection of two truth-external (resp. indeterminacy-external and falsity-external) neutrosophic cubic sets to be a truth-internal (resp. indeterminacy-internal and falsity-internal) neutrosophic cubic set are discussed.
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Rehman, Ateeq Ur, Muhammad Gulistan, Nasreen Kausar, Sajida Kousar, Mohammed M. Al-Shamiri, and Rashad Ismail. "Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection." Complexity 2022 (September 26, 2022): 1–16. http://dx.doi.org/10.1155/2022/3828370.

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The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws in which the exponents are neutro
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Xue, Huiling, Xiaotong Yang, and Chunfang Chen. "Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making." Symmetry 12, no. 2 (2020): 269. http://dx.doi.org/10.3390/sym12020269.

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The neutrosophic cubic sets are an extension of the cubic sets to the neutrosophic sets. It contains three variables, which respectively represent the membership degree, non-membership degree and uncertainty of the element to the set. The score function is an important indicator in the multi-attribute decision-making problem. In this paper, we consider the possibility that an element belongs to a set and put forward the concept of possibility neutrosophic cubic sets. On this basis, we introduce some related concepts and give the binary operation of possibility neutrosophic cubic sets and use s
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Gulistan, Khan, Kadry, and Alhazaymeh. "Neutrosophic Cubic Einstein Hybrid Geometric Aggregation Operators with Application in Prioritization Using Multiple Attribute Decision-Making Method." Mathematics 7, no. 4 (2019): 346. http://dx.doi.org/10.3390/math7040346.

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Viable collection is one of the imperative instruments of decision-making hypothesis. Collection operators are not simply the operators that normalize the value; theyrepresent progressively broad values that can underline the entire information. Geometric weighted operators weight the values only, andthe ordered weighted geometric operators weight the ordering position only.Both of these operators tend to the value that relates to the biggest weight segment. Hybrid collection operators beat these impediments of weighted total and request total operators. Hybrid collection operators weight the
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V., Chinnadurai, Swaminathan A., and Anu B. "SOME PROPERTIES OF NEUTROSOPHIC CUBIC SOFT SETS." International Journal of Computational Research and Development 1, no. 1 (2016): 113–19. https://doi.org/10.5281/zenodo.202596.

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The notion of Neutrosophic cubic soft sets P-union, P-intersection, are introduced and their related properties are investigated. We discussed about the internal and external neutrosophic cubic soft sets.
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Muhaya, Khulud Fahad Bin, and Kholood Mohammad Alsager. "Extending neutrosophic set theory: Cubic bipolar neutrosophic soft sets for decision making." AIMS Mathematics 9, no. 10 (2024): 27739–69. http://dx.doi.org/10.3934/math.20241347.

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

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Khatri, Rohit, and Gagandeep Kaur. "Neutrosophic cubic set-based operators for library ranking system." In Strategic Fuzzy Extensions and Decision-making Techniques. CRC Press, 2024. http://dx.doi.org/10.1201/9781003497219-5.

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Karpagadevi, M., S. Gomathi, A. Revathy, S. Krishnaprakash, and Ramesh Ramasamy. "On Cubic Spherical Neutrosophic Continuity." In Advances in Computer and Electrical Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-6875-6.ch009.

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This paper introduces the concept of cubic spherical neutrosophic continuous mapping in a cubic spherical neutrosophic topological framework. A cubic spherical neutrosophic set is defined in a universe with elements mapped to a triplet representing degrees of membership, indeterminacy, and non-membership within a sphere of radius. We extend this structure to develop Cubic Spherical Neutrosophic Topological Spaces (CSNTSs), where the topology is defined by cubic spherical neutrosophic open and closed sets. The paper presents cubic spherical neutrosophic continuous mappings and Hausdorff propert
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