Academic literature on the topic 'Fuzzy neutrosophic set'

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Journal articles on the topic "Fuzzy neutrosophic set"

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Al-Quran, Ashraf Al, Faisal Al Al-Sharqi, Hamiden Abd El Wahed Khalifa, Haifa Alqahtani, and Ali M. A. Bany Awad. "T-Spherical Fuzzy-Valued Neutrosophic Set Theory." International Journal of Neutrosophic Science 23, no. 2 (2024): 104–15. http://dx.doi.org/10.54216/ijns.230209.

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From fuzzy to neutrosophy, multiple hybrid models have been innovated, with each introduced model surpassing its predecessor. Due to the inherent indeterminacy in the world, a more precise form of imprecision is required. As a result, more sophisticated variants of the neutrosophic set have been created. Examples of these amalgamations include fuzzy neutrosophic sets, intuitionistic fuzzy neutrosophic sets, Pythagorean fuzzy neutrosophic sets, neutrosophic vague sets, and neutrosophic rough sets. The main objective of this paper is to present another variant of the neutrosophic set called T-sp
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Ishtiaq, Umar, Khalil Javed, Fahim Uddin, Manuel de la Sen, Khalil Ahmed, and Muhammad Usman Ali. "Fixed Point Results in Orthogonal Neutrosophic Metric Spaces." Complexity 2021 (August 9, 2021): 1–18. http://dx.doi.org/10.1155/2021/2809657.

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Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metr
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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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A., A. Salama, and A. Elagamy H. "Some Topics Related Neutrosophic Fuzzy Ideal Bitopological Spaces." Neutrosophic Knowledge 2, no. 3 (2021): 23–28. https://doi.org/10.5281/zenodo.4768332.

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The aim of this paper is to introduce and study some new neutrosophic fuzzy pairwise notian via neutrosophic fuzzy ideals. In addition to generalize the concept of NFPL-continuity and NFPL-open functions. Relationships between the above new neutrosophic fuzzy pairwise notions and there other relevant neutrosophic fuzzy classes are investigated.
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Khalil, Ahmed Mostafa, Dunqian Cao, Abdelfatah Azzam, Florentin Smarandache, and Wedad R. Alharbi. "Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making." Symmetry 12, no. 8 (2020): 1361. http://dx.doi.org/10.3390/sym12081361.

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In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type b
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R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong>&nbsp;In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment.&nbsp;<strong>Methods:</strong>&nbsp;Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed.&nbsp;<strong>Findings:</strong>&nbsp;The tnorm , tconorm, accuracy function and plithogeni
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Al-Odhari, Adel. "Some Aspects of Neutrosophic Set Theory." Neutrosophic Optimization and Intelligent Systems 4 (October 1, 2024): 31–38. http://dx.doi.org/10.61356/j.nois.2024.4359.

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This article aims to introduce my work on constructing neutrosophic set theory. Neutrosophy is a new branch of mathematical systems proposed by Smarandache in 1995 as an extension of an intuitionistic fuzzy set according to three-degree membership functions. The new perspective of neutrosophic sets consists of two paths, the first path depends on the three degrees including the degree of truth-membership, degree of indeterminacy-membership, and degree of false-non-membership respectively, while the second path depends on the generated classical set by three types of neutrosophic sets and study
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Kalaiyarasan, V., and K. Muthunagai. "Complex Neutrosophic Fuzzy Set." Mathematics and Statistics 12, no. 1 (2024): 41–47. http://dx.doi.org/10.13189/ms.2024.120106.

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Arockiarani and Martina Jency J. "FUZZY NEUTROSOPHIC RELATIONS." International Journal of Research – Granthaalayah 4, no. 2 (2017): 17–30. https://doi.org/10.5281/zenodo.848054.

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The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and tconorms and characterize their properties.
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Khudair, Huda F., and Fatimah M. Mohammed. "Generalized of A-Closed Set and Ƈ- Closed Set in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 19, no. 2 (2022): 08–18. http://dx.doi.org/10.54216/ijns.190201.

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In this research paper, a new two classes of sets called fuzzy neutrosophic generalized A-closed sets and fuzzy neutrosophic generalized Ƈ-Closed sets in fuzzy neutrosophic topology are introduced and some of their properties have been investigated. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined sets.
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Book chapters on the topic "Fuzzy neutrosophic set"

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Farhadinia, Bahram. "Neutrosophic Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_3.

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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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Bao, Yan-Ling, and Hai-Long Yang. "On Single Valued Neutrosophic Refined Rough Set Model and Its Application." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_6.

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Cuong, Bui Cong. "Pareto Solution in Neutrosophic Set Setting for Multiple Criteria Decision Making Problems." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_15.

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Poonia, Mahima, Rakesh K. Bajaj, and Varun Shukla. "On Quadripartitioned Neutrosophic Hesitant Fuzzy Set and Its Application in a Pattern Recognition Problem." In Algorithms for Intelligent Systems. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-3256-5_37.

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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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Basumatary, Bhimraj, and Jili Basumatary. "Cardinalities of Neutrosophic Sets and Neutrosophic Crisp Sets." In Data-Driven Modelling with Fuzzy Sets. CRC Press, 2024. http://dx.doi.org/10.1201/9781003487104-4.

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Smarandache, Florentin, Mumtaz Ali, and Mohsin Khan. "Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough 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_2.

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Akram, Muhammad, and Gulfam Shahzadi. "Bipolar Neutrosophic Graphs." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_7.

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Binu, R. "Neutrosophic Submodule of Direct Sum." In Data-Driven Modelling with Fuzzy Sets. CRC Press, 2024. http://dx.doi.org/10.1201/9781003487104-7.

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Conference papers on the topic "Fuzzy neutrosophic set"

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Alkhazaleh, Shawkat. "n-valued refined neutrosophic soft set theory." In 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2016. http://dx.doi.org/10.1109/fuzz-ieee.2016.7738004.

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Arockiarani, I. "A fuzzy neutrosophic soft set model in medical diagnosis." In 2014 IEEE Conference on Norbert Wiener in the 21st Century (21CW). IEEE, 2014. http://dx.doi.org/10.1109/norbert.2014.6893943.

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Smarandache, Florentin. "A geometric interpretation of the neutrosophic set — A generalization of the intuitionistic fuzzy set." In 2011 IEEE International Conference on Granular Computing (GrC-2011). IEEE, 2011. http://dx.doi.org/10.1109/grc.2011.6122665.

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Guo, Yanhui, H. D. Cheng, Wei Zhao, and Yingtao Zhang. "A Novel Image Segmentation Algorithm Based on Fuzzy C-means Algorithm and Neutrosophic Set." In 11th Joint Conference on Information Sciences. Atlantis Press, 2008. http://dx.doi.org/10.2991/jcis.2008.44.

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Koundal, Deepika, Vatsala Anand, and Shiveta Bhat. "Comparative analysis of neutrosophic and intuitionistic fuzzy set with spatial information on image segmentation." In 2017 Fourth International Conference on Image Information Processing (ICIIP). IEEE, 2017. http://dx.doi.org/10.1109/iciip.2017.8313690.

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