Relevant bibliographies by topics / Neutrosophic number

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Academic literature on the topic 'Neutrosophic number'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic number"

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D. Sasikala. "On Determining Shortest Path Problem under Pentagonal Neutrosophic Fuzzy Number." Communications on Applied Nonlinear Analysis 31, no. 2s (2024): 09–16. http://dx.doi.org/10.52783/cana.v31.588.

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Neutrosophic sets is the generalization of fuzzy set theory. In this discipline the crucial situation are widely explained in three components appear in it in distinct fields. The study of Neutrosophy deals with the interactions of different ideational spectra. And also the shortest path method is one of the important tool in network analysis. In this approach the pentagonal neutrosophic fuzzy number is applied to determine the shortest path. A score function is used to defuzzify the number into crisp number. The new algorithm evaluates the shortest path for pentagonal neutrosophic fuzzy envir
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Ishtiaq, Umar, Khaleel Ahmad, Farhan Ali, Moazzama Faraz, and Ioannis K. Argyros. "Common Fixed-Point Theorems for Families of Compatible Mappings in Neutrosophic Metric Spaces." Foundations 3, no. 4 (2023): 738–65. http://dx.doi.org/10.3390/foundations3040042.

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Sets, probability, and neutrosophic logic are all topics covered by neutrosophy. Moreover, the classical set, fuzzy set, and intuitionistic fuzzy set are generalized using the neutrosophic set. A neutrosophic set is a mathematical concept used to solve problems with inconsistent, ambiguous, and inaccurate data. In this article, we demonstrate some basic fixed-point theorems for any even number of compatible mappings in complete neutrosophic metric spaces. Our primary findings expand and generalize the findings previously established in the literature.
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.., Hasan G�, Selçuk Topal, and Florentin Smarandache. "Neutrosophic Number Sequences: An introductory Study." International Journal of Neutrosophic Science 20, no. 1 (2023): 27–48. http://dx.doi.org/10.54216/ijns.200103.

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In this paper, Neutrosophic definitions and properties of some special number sequences which are frequently found in the science literature, called Neutrosophic Number Sequences (NNSq) via Horadam sequence are studied for the first time. Especially for Neutrosophic Fibonacci (NFNq) and Neutrosophic Lucas (NLNq) number sequences, fundamental properties and identities such as Ruggles, Honsberger, Cassini, Catalan, d’Ocagne, and Tagiuri are given. In addition, Neutrosophic definitions of the sequences of Pell (NPNq), Pell-Lucas (NPLNq), Jacobsthal (NJNq), Jacobsthal-Lucas (NJLNq), Mersenne (NMNq
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Smarandache, Florentin. "Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set." Mathematics 7, no. 4 (2019): 353. http://dx.doi.org/10.3390/math7040353.

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In this paper, we present the lattice structures of neutrosophic theories. We prove that Zhang-Zhang’s YinYang bipolar fuzzy set is a subclass of the Single-Valued bipolar neutrosophic set. Then we show that the pair structure is a particular case of refined neutrosophy, and the number of types of neutralities (sub-indeterminacies) may be any finite or infinite number.
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.., N. Jose Parvin, S. Ghousia Begum, A. Rajkumar, D. Nagarajan, and Broumi Said. "Nonagonal Neutrosophic Number and its Application in Optimization Technique." International Journal of Neutrosophic Science 19, no. 2 (2022): 66–79. http://dx.doi.org/10.54216/ijns.190206.

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This article discusses Nonagonal Neutrosophic number and m-valued Nonagonal Neutrosophic number. The score function, the accuracy function, hamming distance, normalized hamming distance, Euclidean distance and normalized Euclidean distance of Nonagonal and m-polar Nonagonal Neutrosophic number are derived. Some de-neutrosophication method for Nonagonal Neutrosophic number and some properties of m-valued Nonagonal Neutrosophic number are proved. In this article the optimal path of an acyclic network is estimated using Neutrosophic α-cut grade, Neutrosophic Euclidean grade technique and dynamic
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Ye, Jun. "Neutrosophic number linear programming method and its application under neutrosophic number environments." Soft Computing 22, no. 14 (2017): 4639–46. http://dx.doi.org/10.1007/s00500-017-2646-z.

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Chakraborty, Avishek, Sankar Prasad Mondal, Ali Ahmadian, Norazak Senu, Shariful Alam, and Soheil Salahshour. "Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications." Symmetry 10, no. 8 (2018): 327. http://dx.doi.org/10.3390/sym10080327.

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In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.
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Henry, Garrett. "Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph." Neutrosophic Sets and Systems 49 (April 26, 2022): 531–61. https://doi.org/10.5281/zenodo.6491498.

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New setting is introduced to study dominating, resolving, coloring, Eulerian(Hamiltonian) neu- trosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophic- number, independent number, independent neutrosophic-number, clique number, clique neutrosophic-number, matching number, matching neutrosophic-number, girth, neutrosophic girth, 1-zero-forcing number, 1-zero- forcing neutrosophic-number, failed 1-zero-forcing number, failed 1-zero-forcing neutrosophic-number, global- offensive alliance, t-offensive alliance, t-defensive alliance, t-powerful alli
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Fan, Feng, and Hu. "Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making." Mathematics 7, no. 5 (2019): 389. http://dx.doi.org/10.3390/math7050389.

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Linguistic neutrosophic numbers (LNNs) include single-value neutrosophic numbers and linguistic variable numbers, which have been proposed by Fang and Ye. In this paper, we define the linguistic neutrosophic number Einstein sum, linguistic neutrosophic number Einstein product, and linguistic neutrosophic number Einstein exponentiation operations based on the Einstein operation. Then, we analyze some of the relationships between these operations. For LNN aggregation problems, we put forward two kinds of LNN aggregation operators, one is the LNN Einstein weighted average operator and the other i
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Sabir majeed, Amir, and Nabeel Ezzulddin Arif. "Domination (set and Number) in Neutrosophic Soft over Graphs." Wasit Journal of Pure sciences 1, no. 3 (2022): 26–43. http://dx.doi.org/10.31185/wjps.65.

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By combining the ideas of neutrosophic soft sets and oversets in graphs and replacing each crisp or neutrosophic set by overset at each vertex and edge, we present a new framework for treating neutrosophic soft information (NSI) in this research.
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Books on the topic "Neutrosophic number"

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Kandasamy, W. B. Vasantha. Finite neutrosophic complex numbers. Zip Publishing, 2011.

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Book chapters on the topic "Neutrosophic number"

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Mallick, Rama, and Surapati Pramanik. "TrNN- EDAS Strategy for MADM with Entropy Weight Under Trapezoidal Neutrosophic Number Environment." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_26.

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Mondal, Bappa, Suvankar Biswas, Arindam Garai, and Tapan Kumar Roy. "Posynomial Geometric Programming in EOQ Model with Interval Neutrosophic Number." In Recent Advances in Intelligent Information Systems and Applied Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34152-7_34.

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Tamilarasi, G., and S. Paulraj. "A New Aggregation Operator for Single-Valued Triangular Neutrosophic Number in Decision-Making." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-9307-7_4.

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Khatter, Kiran. "Risk Preference Based Ranking of Suppliers Based on Interval Valued Trapezoidal Neutrosophic Number." In Digital Democracy – IT for Change. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-2723-1_10.

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Banik, Baisakhi, Avishek Chakraborty, and Shariful Alam. "A First-Order Nonhomogeneous Ordinary Differential Equation with Initial Value Condition in a Pentagonal Neutrosophic Number Environment." In Data-Driven Modelling with Fuzzy Sets. CRC Press, 2024. http://dx.doi.org/10.1201/9781003487104-2.

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Koca, Gözde, Ezgi Demir, Özgür İcan, and Çağlar Karamaşa. "Analyzing Shortest Path Problem via Single-Valued Triangular Neutrosophic Numbers: A Case Study." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_25.

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Özlü, Şerif, and İrfan Deli̇. "Novel Distance Measures Over SVTN-Numbers and Their Application to Multi-Criteria Decision Making Problems." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_6.

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Saqlain, Muhammad, Muhammad Saeed, Rana Muhammad Zulqarnain, and Ali Hamza. "Aggregate, Arithmetic, and Geometric Operators of Octagonal Neutrosophic Numbers and Its Application in Multi-Criteria Decision-Making Problems." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_23.

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Anand, M. Clement Joe, and Janani Bharatraj. "Interval-Valued Neutrosophic Numbers with WASPAS." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_17.

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Mondal, Sankar Prasad, Syed Abou Iltaf Hussain, Binayak Sen, and Uttam Kumar Mandal. "Linear and Non-linear Neutrosophic Numbers." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_4.

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Conference papers on the topic "Neutrosophic number"

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Albeanu, Grigore, and Marin Vlada. "NEUTROSOPHIC APPROACHES IN E-LEARNING ASSESSMENT." In eLSE 2014. Editura Universitatii Nationale de Aparare "Carol I", 2014. http://dx.doi.org/10.12753/2066-026x-14-208.

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Due to the large number of variables necessary to evaluate the e-learning and their imprecision or uncertainty aspects, a new approach based on neutrosophy [4] can provide a better interpretation of the assessment results. The following classes of variables will be modelled by neutrosophic entities (sets, numbers, logics, probabilities, statistics): learner variables - including learner attitude and motivation, learning environment variables - including real, augmented or virtual environments, contextual variables - including informal, formal, or adult education, technology variables - includi
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Sastri, M. U. Jayanth, I. Paulraj Jayasimman, and A. Rajkumar. "New single valued decagonal neutrosophic number and its applications." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN PURE AND APPLIED MATHEMATICS (ICRTPAM-2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0103793.

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Narmada Devi, R., and S. Sowmiya. "Solution of sequencing problem by using neutrosophic octagonal number." In 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0108810.

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Jayaraj, John, I. Paulraj Jayasimman, A. Rajkumar, and H. Ebenezer. "Special single valued nanogonal neutrosophic number and its applications." In CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS IN ENGINEERING: CMSAE-2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0149378.

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Punithavalli, G., and N. Karthika. "Topsis for Octogonal Neutrosophic Fuzzy Number in Multicriteria Decision Making." In 2023 First International Conference on Advances in Electrical, Electronics and Computational Intelligence (ICAEECI). IEEE, 2023. http://dx.doi.org/10.1109/icaeeci58247.2023.10370776.

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"MULTICRITERIA MODEL FOR THE SELECTION OF THE TRANSPORT SERVICE PROVIDER SINGLE VALUED NEUTROSOPHIC NUMBER BASED APPROACH." In Transport for Today's Society. Faculty of Technical Sciences Bitola, 2019. http://dx.doi.org/10.20544/tts2018.p43.

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Mathew, Ligin P., and Lovelymol Sebastian. "An introduction to single valued neutrosophic fuzzy numbers, trapezoidal single valued neutrosophic fuzzy numbers and triangular single valued neutrosophic fuzzy numbers." In 2nd INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCES-MODELLING, COMPUTING AND SOFT COMPUTING (CSMCS 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0154003.

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Revathy, M., and A. Sahaya Sudha. "Solving LPP with stochastic neutrosophic Pythagorean Z numbers." In PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0016820.

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Muhamediyeva, Dilnoz, and Nodir Egamberdiyev. "An application of Gauss neutrosophic numbers in medical diagnosis." In 2021 International Conference on Information Science and Communications Technologies (ICISCT). IEEE, 2021. http://dx.doi.org/10.1109/icisct52966.2021.9670195.

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Broumi, Said, Assia Bakali, Mohamed Talea, Florentin Smarandache, and Luige Vladareanu. "Computation of shortest path problem in a network with SV-trapezoidal neutrosophic numbers." In 2016 International Conference on Advanced Mechatronic Systems (ICAMechS). IEEE, 2016. http://dx.doi.org/10.1109/icamechs.2016.7813484.

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