Relevant bibliographies by topics / Trapezoidal fuzzy neutrosophic number

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Trapezoidal fuzzy neutrosophic number'

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

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Journal articles on the topic "Trapezoidal fuzzy neutrosophic number"

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Fahmi, Aliya, Muhammad Aslam, and Saleem Abdullah. "Analysis of migraine in mutlicellular organism based on trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method." International Journal of Biomathematics 12, no. 08 (2019): 1950084. http://dx.doi.org/10.1142/s1793524519500840.

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In this paper, we define a new idea of trapezoidal neutrosophic cubic hesitant fuzzy number based on migraine diseases. We define and the migraine diseases on trapezoidal neutrosophic cubic hesitant fuzzy number and operational laws of trapezoidal neutrosophic cubic hesitant fuzzy number and hamming distance of TrNCHFNs. The new concept of trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method is introduced. Furthermore, we extend MCDM method based on the trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method. Finally, an illustrative example is given to verify and demonstrate the pr
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Mathew, Ligin P., Lovelymol Sebastian, and Baiju Thankachan. "Some Operations on Trapezoidal Single Valued Neutrosophic Fuzzy Numbers." International Journal of Neutrosophic Science 23, no. 3 (2024): 29–43. http://dx.doi.org/10.54216/ijns.230303.

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Almost all situations that arise in applied mathematics involve uncertainty, inconsistency, and indeterminacy. This can be simultaneously handled by the use of single valued neutrosophic fuzzy sets and single valued neutrosophic fuzzy numbers. In this paper, we propose the operations of addition, subtraction, and scalar multiplication on trapezoidal single valued neutrosophic fuzzy numbers. We introduce some component-wise interval operations on the union of closed bounded intervals. Then we show how this can be used to perform the proposed operations on trapezoidal single valued neutrosophic
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S, Santhi. "Flow Shop Scheduling Problem in Neutrosophic Environment Using Trapezoidal Fuzzy Numbers." International Journal of Psychosocial Rehabilitation 24, no. 4 (2020): 4921–26. http://dx.doi.org/10.37200/ijpr/v24i4/pr201593.

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Uma, Uma, Uma .., and Ganesan K. "A New Approach to Solve Transportation Problems Under Neutrosophic Environment." International Journal of Neutrosophic Science 23, no. 4 (2024): 224–37. http://dx.doi.org/10.54216/ijns.230417.

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The transportation problem has received a lot of attention in the field of operations research. In many circumstances, transportation planners may lack clear information on supply, demand, and transportation costs. Fuzzy sets can accept incomplete information by allowing for degrees of membership, which describe the level of certainty or uncertainty associated with each parameter. Three components—truth-membership, indeterminacy-membership, and falsity-membership degrees—are added to fuzzy numbers to create neutrosophic fuzzy numbers, which enables a more complex depiction of uncertainty. In t
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K., K., M. Santoshi Kumari, K. Kalaiarasi, Manjula G. J., and Shrivalli H. Y. "Energizing Inventory Management to Optimize Energy Consumption of Handling Shortages by Neutrosophic Fuzzy Trapezoidal Number." International Journal of Neutrosophic Science 24, no. 1 (2024): 219–36. http://dx.doi.org/10.54216/ijns.240120.

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Embarking on the exploration of integrating environmental sustainability principles and neutrosophic fuzzy theory in inventory management, this study aims to effectively tackle shortages. It underscores the vital balance between economic efficiency and ecological responsibility in contemporary inventory management practices. Neutrosophic fuzzy theory emerges as a robust tool for navigating the inherent uncertainties in inventory optimization, offering a versatile framework for modelling intricate problems. Strategies for optimizing resource consumption and minimizing waste generation within in
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K., Kalaivani, and Palanivel Kaliyaperumal. "A neutrosophic approach to the transportation problem using single-valued trapezoidal neutrosophic numbers." Proyecciones (Antofagasta) 42, no. 2 (2023): 533–47. http://dx.doi.org/10.22199/issn.0717-6279-5374.

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In general, a fuzzy set can’t handle situations of inconsistencies and inexact data, however, the Neutrosophic Set (NS) has been used to address such types of issues in all real world problems. The neutrosophic set is an extension of the fuzzy set and the intuitionistic fuzzy set, that can deal with imperfect, inconsistent, and indeterminate data in all the related problems. This article proposed a conventional neutrosophic approach using a ranking function for the transportation problem. This approach has considered a single-valued neutrosophic set for the entire transportation problem with t
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Sinika, S., and G. Ramesh. "An interval arithmetic approach in solving interval-valued trapezoidal neutrosophic fuzzy multi-objective multi-item solid transportation problem." Yugoslav Journal of Operations Research, no. 00 (2025): 18. https://doi.org/10.2298/yjor240818018s.

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Unpredictability and uncertainty occur worldwide in various aspects of real life. We cannot predict some specific outcomes or events precisely due to multiple factors, randomness, complexity and limited information. These situations can be handled efficiently in a systematic way by using neutrosophic sets. In real-world applications, transportation is essential in all sorts of movement of goods, services and people to meet various needs and demands efficiently. This study concentrated on the multiple objectives, multiple choice transportation problem in interval-valued trapezoidal neutrosophic
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Tan, Ruipu, and Wende Zhang. "Multiple attribute decision making method based on DEMATEL and fuzzy distance of trapezoidal fuzzy neutrosophic numbers and its application in typhoon disaster evaluation." Journal of Intelligent & Fuzzy Systems 39, no. 3 (2020): 3413–39. http://dx.doi.org/10.3233/jifs-191758.

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Trapezoidal fuzzy neutrosophic decision making plays an important role in decision-making processes with uncertain, indeterminate, and inconsistent information. In this paper, we propose a new multi-attribute decision-making method based on decision-making trial and evaluation laboratory (DEMATEL), fuzzy distance, and linear assignment method (LAM), and we express evaluation values as the trapezoidal fuzzy neutrosophic numbers (TrFNNs). First, attribute weights are obtained using the DEMATEL method and the new fuzzy distance of TrFNNs based on graded mean integration representation is defined.
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Yasodai, P., and W. Ritha. "Scrutinization of a Neutrosophic Fuzzy Erlangian Queuing Model Using a Parametric Programming Technique." International Journal of Neutrosophic Science 21, no. 3 (2023): 115–25. http://dx.doi.org/10.54216/ijns.210311.

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This article examines an Erlangian queuing model in a neutrosophic fuzzy environment. The inter-arrival rates and service rates are trapezoidal neutrosophic fuzzy numbers integrated into the Erlangian queuing model. The membership functions of the performance metrics of the corresponding queuing model have been outlined using parametric programming techniques in accordance with the (σ, β, γ)- cuts and Zadeh's extension principle. The neutrosophic fuzzy queues are converted into a family of crisp queues using this principle. The applicability of the provided approach for various cutting possibi
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Yang, Lehua, Dongmei Li, and Ruipu Tan. "Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm." Symmetry 12, no. 8 (2020): 1360. http://dx.doi.org/10.3390/sym12081360.

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The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership of the constituent elements. It has a symmetric form and indeterminacy membership is their axis of symmetry. In uncertain environments, the neutrosophic number can more effectively express the edge distance. The objectives in this study are to solve the shortest path probl
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Dissertations / Theses on the topic "Trapezoidal fuzzy neutrosophic number"

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Wu, Wei-chen, and 吳威震. "Computing the symmetric trapezoidal approximation-preserving its x-coordinate of the centroid point of a fuzzy number by translation method." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/5cj7jj.

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碩士<br>國立臺南大學<br>應用數學研究所碩士班<br>101<br>Recently, we study more general approximations of fuzzy numbers which will generalize many approximations including interval, triangular, trapezoidal, semi-trapezoidal approximations. For properties of fuzzy numbers, the approximation-preserving the specific property problem, including preserving interval, ambiguity or width, are proposed. In this paper, we propose translation method to solve approximation preserving its x-coordinate of the centroid point of a fuzzy number, including symmetric triangular and trapezoidal approximation, in Hilbert space. In t
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Book chapters on the topic "Trapezoidal fuzzy neutrosophic number"

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Bharatraj, Janani, and M. Clement Joe Anand. "Power Harmonic Weighted Aggregation Operator on Single-Valued Trapezoidal Neutrosophic Numbers and Interval-Valued Neutrosophic Sets." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_3.

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Deli, Irfan. "Theory of Single Valued Trapezoidal Neutrosophic Numbers and Their Applications to Multi Robot Systems." In Toward Humanoid Robots: The Role of Fuzzy Sets. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67163-1_10.

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Broumi, Said, Assia Bakali, Mohamed Talea, Florentin Smarandache, and Vakkas Uluçay. "Minimum Spanning Tree in Trapezoidal Fuzzy Neutrosophic Environment." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76354-5_3.

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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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Saini, Rajesh Kumar, Atul Sangal, and Om Prakash. "Fuzzy Transportation Problem with Generalized Triangular-Trapezoidal Fuzzy Number." In Advances in Intelligent Systems and Computing. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5687-1_64.

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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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Kheiri, Zeinab, Faezeh Zahmatkesh, and Bing-yuan Cao. "A New Ranking Approach to Fuzzy Posynomial Geometric Programming with Trapezoidal Fuzzy Number." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28592-9_54.

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Ban, Adrian I., and Lucian Coroianu. "Weighted Semi-trapezoidal Approximation of a Fuzzy Number Preserving the Weighted Ambiguity." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31718-7_6.

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Murty Kodukulla, S. N., and V. Sireesha. "An Overview of Interval-Valued Intuitionistic Trapezoidal Fuzzy Number (IVITFN) and Its Applications Using Fuzzy Logic Techniques." In Springer Proceedings in Mathematics & Statistics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-51167-7_37.

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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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Conference papers on the topic "Trapezoidal fuzzy neutrosophic number"

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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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Bayaraa, Ser-Od, U. Delgersaikhan, and N. Dalaisaikhan. "Utility maximization problem using curve trapezoidal fuzzy number." In 2013 8th International Forum on Strategic Technology (IFOST). IEEE, 2013. http://dx.doi.org/10.1109/ifost.2013.6616992.

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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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Dharmalingam, M., and G. S. Mahapatra. "Fuzzy logistic differential equation with application using generalized trapezoidal fuzzy number." In PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0017168.

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Li, Junhong, Wenyi Zeng, and Ping Guo. "Interval-valued intuitionistic trapezoidal fuzzy number and its application." In 2014 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2014. http://dx.doi.org/10.1109/smc.2014.6973997.

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Wang, Zhongxing, Haibin Xie, and Lili Niu. "Trapezoidal approximation-preserving the fuzziness of a fuzzy number." In 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2012. http://dx.doi.org/10.1109/fskd.2012.6234058.

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Dewanto, Tedi, Karyati, Emut, and Agus Maman Abadi. "Solving the generalized trapezoidal fuzzy number linear programming problem." In PROCEEDINGS OF THE 4TH INTERNATIONAL SEMINAR ON INNOVATION IN MATHEMATICS AND MATHEMATICS EDUCATION (ISIMMED) 2020: Rethinking the role of statistics, mathematics and mathematics education in society 5.0: Theory, research, and practice. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0111269.

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Zhao, Xinye, Rusheng Ju, Shanliang Yang, and Yun Zhou. "Aggregation operators using einstein operations on intuitionistic trapezoidal fuzzy number." In 2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2013. http://dx.doi.org/10.1109/fskd.2013.6816160.

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Bhadauria, Jaya, Sudha Rana, Anita Kumari, and Deepak Kumar. "Reliability analysis of different complex systems using intuitionistic trapezoidal fuzzy number." In 2022 7th International Conference on Computing, Communication and Security (ICCCS). IEEE, 2022. http://dx.doi.org/10.1109/icccs55188.2022.10079498.

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Abdullah, Lazim, and Fateen Najwa Azman. "Circumcenter of centroid in ranking fuzzy number: A case of generalized trapezoidal fuzzy numbers." In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2015. http://dx.doi.org/10.1109/fuzz-ieee.2015.7337941.

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