Academic literature on the topic 'Neutrosophic hesitant fuzzy set'

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Journal articles on the topic "Neutrosophic hesitant fuzzy set"

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Ye, Jun. "Multiple-attribute Decision-Making Method under a Single-Valued Neutrosophic Hesitant Fuzzy Environment." Journal of Intelligent Systems 24, no. 1 (2015): 23–36. http://dx.doi.org/10.1515/jisys-2014-0001.

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AbstractOn the basis of the combination of single-valued neutrosophic sets and hesitant fuzzy sets, this article proposes a single-valued neutrosophic hesitant fuzzy set (SVNHFS) as a further generalization of the concepts of fuzzy set, intuitionistic fuzzy set, single-valued neutrosophic set, hesitant fuzzy set, and dual hesitant fuzzy set. Then, we introduce the basic operational relations and cosine measure function of SVNHFSs. Also, we develop a single-valued neutrosophic hesitant fuzzy weighted averaging (SVNHFWA) operator and a single-valued neutrosophic hesitant fuzzy weighted geometric
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Shao, Songtao, Xiaohong Zhang, Yu Li, and Chunxin Bo. "Probabilistic Single-Valued (Interval) Neutrosophic Hesitant Fuzzy Set and Its Application in Multi-Attribute Decision Making." Symmetry 10, no. 9 (2018): 419. http://dx.doi.org/10.3390/sym10090419.

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The uncertainty and concurrence of randomness are considered when many practical problems are dealt with. To describe the aleatory uncertainty and imprecision in a neutrosophic environment and prevent the obliteration of more data, the concept of the probabilistic single-valued (interval) neutrosophic hesitant fuzzy set is introduced. By definition, we know that the probabilistic single-valued neutrosophic hesitant fuzzy set (PSVNHFS) is a special case of the probabilistic interval neutrosophic hesitant fuzzy set (PINHFS). PSVNHFSs can satisfy all the properties of PINHFSs. An example is given
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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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Akram, Muhammad, Sumera Naz, and Florentin Smarandache. "Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment." Symmetry 11, no. 8 (2019): 1058. http://dx.doi.org/10.3390/sym11081058.

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With the development of the social economy and enlarged volume of information, the application of multiple-attribute decision-making (MADM) has become increasingly complex, uncertain, and obscure. As a further generalization of hesitant fuzzy set (HFS), simplified neutrosophic hesitant fuzzy set (SNHFS) is an efficient tool to process the vague information and contains the ideas of a single-valued neutrosophic hesitant fuzzy set (SVNHFS) and an interval neutrosophic hesitant fuzzy set (INHFS). In this paper, we propose a decision-making approach based on the maximizing deviation method and TOP
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Imran, Raiha, Kifayat Ullah, Zeeshan Ali, and Maria Akram. "An Approach to Multi-Attribute Decision-Making Based on Single-Valued Neutrosophic Hesitant Fuzzy Aczel-Alsina Aggregation Operator." Neutrosophic Systems with Applications 22 (October 1, 2024): 43–57. http://dx.doi.org/10.61356/j.nswa.2024.22387.

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A single-valued Neutrosophic hesitant fuzzy set (SVNHFS) is a combination of a single-valued neutrosophic set (SVNS) and hesitant fuzzy set (HFS) that has been developed to address insufficient, unreliable, and vague environments in which each element has several possible options determined by the truthiness, indeterminacy and falsity value. By considering this, in this paper, we have proposed the Aczel-Alsina aggregation operator (AAAO) for SVNHFS, which is more flexible t-norm and t-conorm than the other and due to the flexible nature of parameters to solve Multi-Attribute decision making (M
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Liu, Jia-Bao, Rashad Ismail, Muhammad Kamran, Esmail Hassan Abdullatif Al-Sabri, Shahzaib Ashraf, and Ismail Naci Cangul. "An optimization strategy with SV-neutrosophic quaternion information and probabilistic hesitant fuzzy rough Einstein aggregation operator." AIMS Mathematics 8, no. 9 (2023): 20612–53. http://dx.doi.org/10.3934/math.20231051.

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<abstract><p>The single valued neutrosophic probabilistic hesitant fuzzy rough Einstein aggregation operator (SV-NPHFRE-AO) is an extension of the neutrosophic probabilistic hesitant fuzzy rough set theory. It is a powerful decision-making tool that combines the concepts of neutrosophic logic, probability theory, hesitant fuzzy sets, rough sets, and Einstein aggregation operators. SV-NPHFRE-AO can be applied in many fields, including livestock decision making. Making judgments about a wide range of issues, including feed formulation, breeding program design, disease diagnostics, an
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Batool, Sania, Masooma Raza Hashmi, Muhammad Riaz, Florentin Smarandache, Dragan Pamucar, and Dejan Spasic. "An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators." Symmetry 14, no. 11 (2022): 2271. http://dx.doi.org/10.3390/sym14112271.

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Using the strength of a single-valued neutrosophic set (SVNS) with the flexibility of a hesitant fuzzy set (HFS) yields a robust model named the single-valued neutrosophic hesitant fuzzy set (SVNHFS). Due to the ability to utilize three independent indexes (truthness, indeterminacy, and falsity), an SVNHFS is an efficient model for optimization and computational intelligence (CI) as well as an intelligent decision support system (IDSS). Taking advantage of the flexibility of operational parameters in Dombi’s t-norm and t-conorm operations, new aggregation operators (AOs) are proposed, which ar
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Kamran, Muhammad, Shahzaib Ashraf, Shahid Khan, Aamir Khan, Hedia Zardi, and Saba Mehmood. "Integrated decision-making framework for hospital development: A single-valued neutrosophic probabilistic hesitant fuzzy approach with innovative aggregation operators." Yugoslav Journal of Operations Research, no. 00 (2023): 34. http://dx.doi.org/10.2298/yjor230915034k.

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This research article proposes an innovative algorithm for analyzing parallelism in the evolution of hospital building features, with the goal of advancing decisionmaking processes in both urban and rural hospitals. As an additional generalization of the concepts of fuzzy sets, intuitionistic fuzzy sets, single-valued neutrosophic sets, hesitant fuzzy sets, and probabilistic fuzzy sets this paper proposes a single-valued neutrosophic probabilistic hesitant fuzzy set (SV-NPHFS). It is derived from the combination of single-valued neutrosophic sets, probabilistic fuzzy sets, and hesitant fuzzy s
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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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Liu, Donghai, Xiaohong Chen, and Dan Peng. "Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making." Symmetry 10, no. 11 (2018): 602. http://dx.doi.org/10.3390/sym10110602.

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This paper proposes a neutrosophic hesitant fuzzy linguistic term set (NHFLTS) based on hesitant fuzzy linguistic term set (HFLTS) and neutrosophic set (NS), which can express the inconsistent and uncertainty information flexibly in multiple criteria decision making problems. The basic operational laws of NHFLTS based on linguistic scale function are also discussed. Then we propose the generalized neutrosophic hesitant fuzzy linguistic distance measure and discuss its properties. Furthermore, a new similarity measure of NHFLTS combines the generalized neutrosophic hesitant fuzzy linguistic dis
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Dissertations / Theses on the topic "Neutrosophic hesitant fuzzy set"

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Zettervall, Hang. "Fuzzy Set Theory Applied to Make Medical Prognoses for Cancer Patients." Doctoral thesis, Blekinge Tekniska Högskola [bth.se], Faculty of Engineering - Department of Mathematics and Natural Sciences, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-00574.

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As we all know the classical set theory has a deep-rooted influence in the traditional mathematics. According to the two-valued logic, an element can belong to a set or cannot. In the former case, the element’s membership degree will be assigned to one, whereas in the latter case it takes the zero value. With other words, a feeling of imprecision or fuzziness in the two-valued logic does not exist. With the rapid development of science and technology, more and more scientists have gradually come to realize the vital importance of the multi-valued logic. Thus, in 1965, Professor Lotfi A. Zadeh
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Books on the topic "Neutrosophic hesitant fuzzy set"

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

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Farhadinia, Bahram. Hesitant Fuzzy Set: Theory and Extension. Springer Singapore Pte. Limited, 2021.

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Hesitant Fuzzy Set: Theory and Extension. Springer, 2022.

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Book chapters on the topic "Neutrosophic hesitant fuzzy 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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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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Farhadinia, Bahram. "Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_1.

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Farhadinia, Bahram. "q-Rung Orthopair Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_5.

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Farhadinia, Bahram. "Cubic Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_9.

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Farhadinia, Bahram. "Picture Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_11.

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Farhadinia, Bahram. "Hesitant Fuzzy Linguistic Term Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_2.

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Farhadinia, Bahram. "Spherical Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_12.

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Farhadinia, Bahram. "Probabilistic Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_6.

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Farhadinia, Bahram. "Hesitant Bipolar Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_8.

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Conference papers on the topic "Neutrosophic hesitant fuzzy set"

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Jebur, Riyam Kareem, and Mohammed Jassim Mohammed. "On neutrosophic hesitant fuzzy ideals of rings." In 6TH INTERNATIONAL CONFERENCE FOR PHYSICS AND ADVANCE COMPUTATION SCIENCES: ICPAS2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0265406.

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Zheng, Yiran, and Lan Zhang. "A Novel Image Segmentation Algorithm Based on Hesitant Neutrosophic and Level Set." In 2021 International Conference on Electronic Information Technology and Smart Agriculture (ICEITSA). IEEE, 2021. http://dx.doi.org/10.1109/iceitsa54226.2021.00077.

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Hien, Phan. "Applying Hesitant Fuzzy Set To Rank Student’s Projects." In 2021 21st ACIS International Winter Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing (SNPD-Winter). IEEE, 2021. http://dx.doi.org/10.1109/snpdwinter52325.2021.00061.

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Sahu, S. K., N. Sahu, R. S. Thakur, and G. S. Thakur. "Hesitant Fuzzy Linguistic Term Set Based Document Classification." In 2013 International Conference on Communication Systems and Network Technologies (CSNT 2013). IEEE, 2013. http://dx.doi.org/10.1109/csnt.2013.126.

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Warrier, Sreelekshmi C., Terry Jacob Mathew, Nellimala Abdul Shukoor, and Vijayakumar Varadarajan. "Hesitant fuzzy hyper soft set for decision making." In MULTIMEDIA UNIVERSITY ENGINEERING CONFERENCE 2023 (MECON2023). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0227589.

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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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Jebur, Riyam Kareem, and Mohammed Jassim Mohammed. "Some results related with neutrosophic hesitant fuzzy prime ideal and strongly prime ideal of ring." In 3RD INTERNATIONAL CONFERENCE ON MATHEMATICS, AI, INFORMATION AND COMMUNICATION TECHNOLOGIES: ICMAICT2023. AIP Publishing, 2025. https://doi.org/10.1063/5.0258456.

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Kumar, Akshay, Mangey Ram, and Lokesh Kumar Joshi. "Fuzzy Reliability of Series-Parallel System Using UGF and Hesitant Fuzzy Set." In 2019 International Conference on Innovative Sustainable Computational Technologies (CISCT). IEEE, 2019. http://dx.doi.org/10.1109/cisct46613.2019.9008138.

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Estrella, Francisco J., Rosa M. Rodriguez, Macarena Espiniila, and Luis Martinez. "On the use of Hesitant Fuzzy Linguistic Term Set in FLINTSTONES." In 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2014. http://dx.doi.org/10.1109/fuzz-ieee.2014.6891799.

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