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

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

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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4

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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5

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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7

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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8

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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9

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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10

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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11

Gulistan, Muhammad, and Salma Khan. "Extentions of neutrosophic cubic sets via complex fuzzy sets with application." Complex & Intelligent Systems 6, no. 2 (2019): 309–20. http://dx.doi.org/10.1007/s40747-019-00120-8.

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Abstract In this paper, we propose that the complex neutrosophic cubic set (internal and external) show, which is a blend of complex fuzzy sets, neutrosophic sets, and cubic sets. We characterize a few set theoretic activities of internal complex neutrosophic sets, for example, union, intersection and complement, and a while later the operational principles. A few ideas identified with the structure of this model are clarified. We present some accumulation administrators and talk about some basic leadership issue with genuine model.

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12

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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13

Khan, Majid, Muhammad Gulistan, and Mohammed M. Al-Shamiri. "The Approach of Induced Generalized Neutrosophic Cubic Shapley Choquet Integral Aggregation Operators via the CODAS Method to Solve Distance-Based Multicriteria Decision-Making Problems." Journal of Mathematics 2022 (June 1, 2022): 1–20. http://dx.doi.org/10.1155/2022/4898699.

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This study aims to define a conjecture that can handle complex frames of work more efficiently that occurs in daily life problems. In decision-making theory inter-relation of criteria, weights and choice decision-making method subject to the given circumstances which are an important component for appropriate decisions. For this, we define neutrosophic cubic Shapley–Choquet integral (NCSCI) measure; combinative distance-based assessment selection (CODAS) is accomplished over NCSCI and is implemented over a numerical example of a company foreign investment model as an application in decision-ma

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14

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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15

K., K., M. Palanikumar, Faisal Al Al-Sharqi, et al. "New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring." International Journal of Neutrosophic Science 24, no. 3 (2024): 85–101. http://dx.doi.org/10.54216/ijns.240308.

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We introduce the notion of q-neutrosophic cubic vague subbisemiring (q-NSCVSBS) and level set of q- NSCVSBS of a bisemiring. The q-NSCVSBS is a new concept of subbisemirings of bisemirings. Let X be a neutrosophic vague subset of L. Then W = ([T-, T+ ], [I-, I+ ],[F-,F+ ]) is a q-NSCVSBS of L if and only if all non-empty level set is also a SBS of L. Let X be the q-NSCVSBS of L and ¡ be the strongest cubic q-neutrosophic vague relation of L*L. Then X is a q-NSCVSBS of L* L. Let X be the q-NSCVSBS of L, show that pseudo cubic q-neutrosophic vague coset is also a q-NSCVSBS of L. Let X1, X2,….. X

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16

Xue, Huiling, Minrong Yu, and Chunfang Chen. "Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications." Mathematical Problems in Engineering 2019 (January 15, 2019): 1–10. http://dx.doi.org/10.1155/2019/7453025.

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Single-valued neutrosophic cubic set is a good tool to solve the vague and uncertain problems because it contains more information. The article first gives the correlation coefficient of single-valued neutrosophic cubic sets. Then, a decision method is proposed, and an application in pattern recognition is considered. Finally, examples are given to explain the feasibility of this method. At the same time, the comparative analysis shows the superiority of this method.

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17

Fan, Jianping, Shanshan Zhai, and Meiqin Wu. "PT-MARCOS multi-attribute decision-making method under neutrosophic cubic environment." Journal of Intelligent & Fuzzy Systems 42, no. 3 (2022): 1737–48. http://dx.doi.org/10.3233/jifs-211189.

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Neutrosophic cubic set (NCS) can process complex information by combining interval neutrosophic set and single-valued neutrosophic set. It can simultaneously describe the uncertain and certain part of information. Prospect theory (PT) is based on bounded rationality and can reflect decision maker’s different risk attitudes to gains and losses. Measurement of Alternatives and Ranking according to COmpromise Solution (MARCOS) method can measure and rank the alternatives according to compromise solution. Considering the bounded rationality of decision makers and compromise solution of alternative

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18

Pramanik, Surapati, Shyamal Dalapati, Shariful Alam, and Tapan Roy. "NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment." Information 8, no. 4 (2017): 149. http://dx.doi.org/10.3390/info8040149.

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19

S. Anitha and A. Francina Shalini. "Similarity Measure of Plithogenic Cubic Vague Sets: Examples and Possibilities." Neutrosophic Systems with Applications 11 (October 21, 2023): 39–47. http://dx.doi.org/10.61356/j.nswa.2023.81.

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The crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets are the extension of the plithogenic set, in which elements are characterized by the number of attributes and each attribute can assume many values. To achieve more accuracy and precise exclusion, a contradiction or dissimilarity degree is specified between each attribute and the values of the dominating attribute. A plithogenic cubic vague set is a combination of a plithogenic cubic set and a vague set. The key tool for resolving problems with pattern recognition and clustering analysis is the similarity measure. In this research,

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20

Pramanik, Surapati, Shyamal Dalapati, Shariful Alam, Florentin Smarandache, and Tapan Kumar Roy. "NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment." Mathematics 6, no. 5 (2018): 67. http://dx.doi.org/10.3390/math6050067.

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21

Khan, Qaisar, Nasruddin Hassan, and Tahir Mahmood. "Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making." Symmetry 10, no. 10 (2018): 444. http://dx.doi.org/10.3390/sym10100444.

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The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information). NCS is a better tool to handle complex decision-making (DM) problems with INS and SVNS. The main purpose of this article is to develop some new aggregation operators for cubic neutrosophic numbers (NCNs), which is a basic member of NCS. Taking the advantages of Muirhead mean (MM) operator and power average (PA) opera

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22

Al Shumrani, Mohammed A., Muhammad Gulistan, and Salma Khan. "The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems." Journal of Mathematics 2020 (November 29, 2020): 1–16. http://dx.doi.org/10.1155/2020/8835019.

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The neutrosophic cubic sets (NCSs) attained attraction of many researchers in the current time, so the need to discuss and study their stability was felt. Thus, in this article, we discuss the three types of stability of NCSs such as truth-stability, indeterminacy-stability, and falsity-stability. We define the left (resp., right) truth-left evaluative set, left (resp., right) indeterminacy-evaluative set, and left (resp., right) falsity-evaluative set. A new notion of stable NCSs, partially stable NCSs, and unstable NCSs is defined. We observe that every NCS needs not to be a stable NCS but e

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23

Gulistan, Muhammad, and Nasruddin Hassan. "A Generalized Approach towards Soft Expert Sets via Neutrosophic Cubic Sets with Applications in Games." Symmetry 11, no. 2 (2019): 289. http://dx.doi.org/10.3390/sym11020289.

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Games are considered to be the most attractive and healthy event between nationsand peoples. Soft expert sets are helpful for capturing uncertain and vague information.By contrast, neutrosophic set is a tri-component logic set, thus it can deal with uncertain,indeterminate, and incompatible information where the indeterminacy is quantified explicitly andtruth membership, indeterminacy membership, and falsity membership independent of each other.Subsequently, we develop a combined approach and extend this concept further to introduce thenotion of the neutrosophic cubic soft expert sets (NCSESs)

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Ye, Jun, Zhenhan Zhang, Rui Yong, and Shigui Du. "MAGDM Model Using the Exponential Similarity Measure of Neutrosophic Confidence Cubic Sets in a Single-Valued Neutrosophic Multivalued Circumstance." Journal of Mathematics 2023 (April 4, 2023): 1–12. http://dx.doi.org/10.1155/2023/5150472.

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Probability estimation of small sample data is a key tool to ensure the probability that sample data fall within the confidence interval at a certain confidence level and probability distribution, which shows its advantages in practical engineering applications. Then, regarding a group decision-making (GDM) problem in the situation of indeterminacy and inconsistency, several experts/decision makers will assign several true, false, and indeterminate fuzzy values to the evaluation values of each alternative over different attributes, and then form a single-valued neutrosophic multivalued set (Sv

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Gulistan, Muhammad, Ahmed Elmoasry, and Naveed Yaqoob. "$${\mathcal {N}}$$-version of the neutrosophic cubic set: application in the negative influences of Internet." Journal of Supercomputing 77, no. 10 (2021): 11410–31. http://dx.doi.org/10.1007/s11227-020-03615-1.

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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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27

Ni, Huan, Fangwei Zhang, Jun Ye, Bing Han, and Yuanhong Liu. "Research on Evaluation of College-Classroom Teaching Quality Based on Pentapartitioned Neutrosophic Cubic Sets and Machine Vision." Journal of Advanced Computational Intelligence and Intelligent Informatics 28, no. 5 (2024): 1132–43. http://dx.doi.org/10.20965/jaciii.2024.p1132.

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University-teaching quality evaluations are crucial for assessing teachers’ effectiveness and enhancing students’ learning in classrooms. To improve the evaluation efficiency, this study suggests a creative classroom evaluation approach by using machine vision and pentapartitioned neutrosophic cubic set (PNCS). First, this study uses machine vision technology to establish a PNCS to capture the students’ states in classrooms. Second, it proposes four entropy functions to determine the attribute weights. Third, it combines the improved entropy weight functions with the PNCS to evaluate the teach

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admin, admin, M. Gopala Krishnan, and A. Bobin. "Enhanced Academic Stress-Coping Skills Assessment in College Students: A Comparative Study of Neutrosophic Distance Measure and Proposed Cubic Pythagorean Fuzzy Hypersoft TOPSIS Method." International Journal of Neutrosophic Science 23, no. 4 (2024): 63–82. http://dx.doi.org/10.54216/ijns.230405.

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In multi-criteria decision-making scenarios involving real numbers, interval numbers, and a combination of membership and non-membership grades, accurate decision-making is crucial yet challenging. The integration of diverse grade values into a single value poses a significant challenge for decision-makers. To address this issue, this study introduces the concept of a cubic Pythagorean fuzzy hypersoft set, facilitating information aggregation without ambiguity. The characteristics of correlation coefficients and aggregation operators are emphasized, underscoring their importance in decision-ma

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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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Metawee, Songsaeng, and Iampan Aiyared. "Image and Inverse Image of Neutrosophic Cubic Sets in UP-Algebras under UP-Homomorphisms." August 18, 2020. https://doi.org/10.5281/zenodo.3989433.

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The concept of a neutrosophic cubic set in a UP-algebra was introduced by Songsaeng and Iampan [Neutrosophic cubic set theory applied to UP-algebras, 2019]. In this paper, we define the image and inverse image of a neutrosophic cubic set in a non-empty set under any function and study the image and inverse image of a neutrosophic cubic UP-subalgebra (resp., neutrosophic cubic near UP-filter, neutrosophic cubic UP-filter, neutrosophic cubic UP-ideal, neutrosophic cubic strong UP-ideal) of a UP-algebra under some UP-homomorphisms. 

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MOHSIN, KHALID, SMARANDACHE FLORENTIN, ANDALEEB KHALID NEHA, and BROUMI SAID. "Translative and Multiplicative Interpretation of Neutrosophic Cubic Set." July 19, 2020. https://doi.org/10.5281/zenodo.3951678.

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In this paper, we introduce the idea of neutrosophic cubic translation (NCT) and neutrosophic cubic multiplication (NCM) and provide entirely new type of conditions for neutrosophic cubic translation and neutrosophic cubic multiplication on BF-algebra. This is the new kind of approach towards translation and multiplication which involves the indeterminacy membership function. We also define neutrosophic cubic magnified translation (NCMT) on BF-algebra which handles the neutrosophic cubic translation and neutrosophic cubic multiplication at the same time on membership function, indeterminacy me

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Mumtaz, Ali, Deli Irfan, and Smarandache Florentin. "The theory of neutrosophic cubic sets and their applications in pattern recognition." March 6, 2016. https://doi.org/10.5281/zenodo.49138.

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Inthisstudy,wepresentedconceptofneutrosophiccubicsetbyextendingtheconceptofcubicsettoneutrosophic set. We also deﬁned internal neutrosophic cubic set (INCS) and external neutrosophic cubic set (ENCS). Then, we proposed some new type of INCS and ENCS is called 1 3-INCS (or 2 3-ENCS), 2 3-INCS (or 1 3-ENCS). Then we study some of their relevant properties. Finally, we introduce an adjustable approach to NCS based decision making by similarity measure and an illustrative example is employed to show that they can be successfully applied to problems that contain uncertainties.  

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P., Muralikrishna, Vinodkumar R. та Palani G. "Neutrosophic Cubic β−subalgebra". 11 лютого 2022. https://doi.org/10.5281/zenodo.6041587.

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The main objective of this paper is to extend the notion of neutrosophic cubic sets to β−subalgebra. Some captivating results based on the P-union, P-intersection, R-union, R-intersection of neutrosophic cubic β−subalgebra have been explored. Further, the engrossing properties of the lower, upper level sets and homomorphism of neutrosophic cubic β−subalgebras were discussed.

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Anitha, Cruz R. "Neutrosophic Soft Cubic Refined Sets." September 10, 2024. https://doi.org/10.5281/zenodo.13989213.

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This paper presents a novel approach to the Neutrosophic Soft Cubic Re ned Set (NSCRS), which serves as the foundation for combining the theory of soft sets, the already-existing Neutrosophic cubic set, and the Neutrosophic re ned set and Neutrosophic Soft Cubic Set. Further introduced are the internal neutrosophic soft cubic re ned set (INSCRS) and external neutrosophic soft cubic re ned set (ENSCRS), along with their various properties, including P-order, P-union, P-intersection, and R-order, R-union, and R-intersection neutrosophic soft cubic re ned set.

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35

Songsaeng, Metawee, and Aiyared Iampan. "Image and Inverse Image of Neutrosophic Cubic Sets in UP-Algebras under UP-Homomorphisms." International Journal of Neutrosophic Science, 2020, 89–107. http://dx.doi.org/10.54216/ijns.030201.

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The concept of a neutrosophic cubic set in a UP-algebra was introduced by Songsaeng and Iampan [Neu-trosophic cubic set theory applied to UP-algebras, 2019]. In this paper, we deﬁne the image and inverse image of a neutrosophic cubic set in a non-empty set under any function and study the image and inverse image of a neutrosophic cubic UP-subalgebra (resp., neutrosophic cubic near UP-ﬁlter, neutrosophic cubic UP-ﬁlter, neutrosophic cubic UP-ideal, neutrosophic cubic strong UP-ideal) of a UP-algebra under some UP-homomorphisms.

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Khalid, Mohsin, Neha Andaleeb Khalid, Hasan Khalid, and Said Broumi. "Multiplicative Interpretation of Neutrosophic Cubic Set on B-Algebra." International Journal of Neutrosophic Science 1 / 2020 (August 17, 2020). https://doi.org/10.5281/zenodo.3988021.

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Purpose of this paper is to interpret the multiplication of neutrosophic cubic set. Here we define the notation of ɤmultiplication of neutrosophic cubic set and study it with the help of neutrosophic cubic M-subalgebra, neutrosophic cubic normal ideal and neutrosophic cubic closed normal ideal. We also study ɤ-multiplication under homomorphism and cartesian product through significant characteristics.

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Mohsin, Khalid, Andaleeb Khalid Neha, Khalid Hasan, and Broumi Said. "Multiplicative Interpretation of Neutrosophic Cubic Set on B-Algebra." February 23, 2020. https://doi.org/10.5281/zenodo.3679517.

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Purpose of this paper is to interpret the multiplication of neutrosophic cubic set. Here we define the notation of ɤ-multiplication of neutrosophic cubic set and study it with the help of neutrosophic cubic M-subalgebra, neutrosophic cubic normal ideal and neutrosophic cubic closed normal ideal. We also study ɤ-multiplication under homomorphism and cartesian product through significant characteristics.

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38

Khalid, Mohsin, Neha Andaleeb Khalid, Hasan Khalid, and Said Broumi. "Multiplicative Interpretation of Neutrosophic Cubic Set on B-Algebra." International Journal of Neutrosophic Science, 2020, 64–73. http://dx.doi.org/10.54216/ijns.010202.

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The purpose of this paper is to interpret the multiplication of neutrosophic cubic set. Here we define the notation of ɤ-multiplication of neutrosophic cubic set and study it with the help of neutrosophic cubic M-subalgebra, neutrosophic cubic normal ideal and neutrosophic cubic closed normal ideal. We also study ɤ-multiplication under homomorphism and cartesian product through significant characteristics.

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39

Florentin, Smarandache, and Su Kim Chang. "P-union and P-intersection of neutrosophic cubic sets." December 6, 2015. https://doi.org/10.5281/zenodo.34877.

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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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40

Cruz, R. Anitha, and F. Nirmala Irudayam. "More On P-Union and P-Intersection of Neutrosophic Soft Cubic Set." October 14, 2017. https://doi.org/10.5281/zenodo.1012233.

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The P-union ,P-intersection, P-OR and P-AND of neutrosophic soft cubic sets are introduced and their related properties are investigated. We show that the Punion and the P-intersection of two internal neutrosophic soft cubic sets are also internal neutrosophic soft cubic sets. The conditions for the P-union ( P-intersection ) of two T-external (resp. I- external, F- external) neutrosophic soft cubic sets to be T-external (resp. I- external, F- external) neutrosophic soft cubic sets is also dealt with. We provide conditions for the P-union (P-intersection) of two T-external (resp. I- external,

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41

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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42

S.Anitha and Shalini Dr.A.Francina. "Plithogenic Cubic Vague Sets." October 3, 2023. https://doi.org/10.5281/zenodo.8404439.

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To measure the level of accuracy of crisp, fuzzy, intuitionistic fuzzy sets and neutrosophic set various mathematical tools are available. The generalization of these four sets is Plithogenic set. In this paper, for the first time we introduce the concept of plithogenic cubic vague set and its generalization, plithogenic fuzzy cubic vague set, plithogenic intuitionistic fuzzy cubic vague set, plithogenic neutrosophic cubic vague set. It is the combination of cubic vague set and plithogenic set. It aims to address the problems involving multiple attribute decision making. This concept is suitab

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Mohsin, Khalid, Andaleeb Khalid Neha, and Broumi Said. "T-Neutrosophic Cubic Set on BF-Algebra." February 5, 2020. https://doi.org/10.5281/zenodo.3639470.

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In this paper, the concept of t-neutrosophic cubic set is introduced and investigated the t-neutrosophic cubic set through subalgebra, ideal and closed ideal of BF-algebra. Homomorphic properties of t-neutrosophic cubic subalgebra and ideal are also investigated with some related properties.

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44

YOUNG, BAE JUN, SMARANDACHE FLORENTIN, and SU KIM CHANG. "NEUTROSOPHIC CUBIC SETS." November 9, 2015. https://doi.org/10.5281/zenodo.49113.

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The aim of this paper is to extend the concept of cubic sets to the neutrosophic sets. The notions of truth-internal (indeterminacy-internal, falsity-internal) neutrosophic cubic sets and truth-external (indeterminacy-external, falsity-external) neutrosophic cubic sets are introduced, and related properties are investigated.  

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45

Pramanik, Surapati, Partha Pratim Dey, Bibhas C. Giri, and Florentin Smarandache. "An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information." October 14, 2017. https://doi.org/10.5281/zenodo.1012217.

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The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set. In this study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets. In the decision making situation, the rating of alternatives with respect to some predefined attributes are presented in terms of neutrosophic c

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46

admin, admin, F. Nirmala .., and F. Smarandache. "Plithogenic Cubic Sets." International Journal of Neutrosophic Science, 2020, 30–38. http://dx.doi.org/10.54216/ijns.0110103.

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In this article, using the concepts of cubic set and plithogenic set, the ideas of plithogenic fuzzy cubic set, plithogenic intuitionistic fuzzy cubic set, Plithogenic neutrosophic cubic set are introduced and its corresponding internal and external cubic sets are discussed with examples. Primary properties of the Plithogenic neutrosophic cubic sets were also discussed.This concept is extremely suitable for addressing problems involving multiple attribute decision making as this plithogenic neutrosophic set are described by four or more value of attributes and the accuracy of the result is als

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47

Majid, Khan, Gulistan Muhammad, Hassan Nasruddin, and Muhaimin Nasruddin Abdul. "Air Pollution Model using Neutrosophic Cubic Einstein Averaging Operators." March 21, 2020. https://doi.org/10.5281/zenodo.3723185.

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The neutrosophic cubic averaging and Einstein averaging aggregation operators are presented and applied to the air pollution model of the city of Peshawar, Pakistan. Neutrosophic cubic set (NCS) is a more generalized version of the neutrosophic set (NS) and an interval neutrosophic set (INS). It is in a better position to express consistent, indeterminant and incomplete information, thus it is able to be applied to aggregate the air pollution model. Aggregation operators have a key role in science and engineering problems. Firstly, the neutrosophic cubic weighted averaging (NCWA) operator, neu

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48

Ateeq, Ur Rehman, Gulistan Muhammad, Khan Zahid, and S. Al-Duais Fuad. "A Study of Neutrosophic Cubic Hesitant Fuzzy Hybrid Geometric Aggregation Operators and its Application to Multi Expert Decision Making System." June 29, 2022. https://doi.org/10.5281/zenodo.6774643.

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Hesitancy is an imperative part of belief system. In order to counter the hesitancy in neutrosophic cubic set (NCS), the notion of neutrosophic cubic hesitant fuzzy set (NCHFS) is presented. NCHFS couple NCS with hesitant fuzzy set (HFS). Operational laws in NCHFS are developed with examples. To meet the challenges of decision making problems, neutrosophic cubic hesitant fuzzy geometric (NCHFG) aggregation operators, neutrosophic cubic hesitant fuzzy Einstein geometric (NCHFEG) aggregation operators, neutrosophic cubic hesitant fuzzy hybrid geometric (NCHFHEG) aggregation operators are develop

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49

Huiling, Xue, Yu Minrong, and Chen Chunfang. "Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications." May 22, 2019. https://doi.org/10.5281/zenodo.3129990.

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Single-valued neutrosophic cubic set is a good tool to solve the vague and uncertain problems because it containsmore information. The article first gives the correlation coefficient of single-valued neutrosophic cubic sets. Then, a decision method is proposed, and an application in pattern recognition is considered. Finally, examples ar

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Cruz, R. Anitha, and F. Nirmala Irudayam. "Neutrosophic Soft Cubic Set in Topological Spaces." Neutrosophic Sets and Systems 23 (December 10, 2018). https://doi.org/10.5281/zenodo.2156006.

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This research article lays the foundation to propose the new concept of neutrosophic soft cubic topology. Here we focus on the systematic study of neutrosophic soft cubic sets and deduce various properties which are induced by them. This enables us to introduce some equivalent characterizations and brings out the inter relations among them.

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