Relevant bibliographies by topics / Fermatean Fuzzy sets

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Academic literature on the topic 'Fermatean Fuzzy sets'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Fermatean Fuzzy sets"

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Senapati, Tapan, and Ronald R. Yager. "Fermatean fuzzy sets." Journal of Ambient Intelligence and Humanized Computing 11, no. 2 (2019): 663–74. http://dx.doi.org/10.1007/s12652-019-01377-0.

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Nakkhasen, Warud, Teerapan Jodnok, and Ronnason Chinram. "Intra-regular semihypergroups characterized by Fermatean fuzzy bi-hyperideals." AIMS Mathematics 9, no. 12 (2024): 35800–35822. https://doi.org/10.3934/math.20241698.

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<p>The concept of Fermatean fuzzy sets was introduced by Senapati and Yager in 2019 as a generalization of fuzzy sets, intuitionistic fuzzy sets, and Pythagorean fuzzy sets. In this article, we apply the notions of Fermatean fuzzy left (resp., right) hyperideals and Fermatean fuzzy (resp., generalized) bi-hyperideals in semihypergroups to characterize intra-regular semihypergroups, such as $ S $ is an intra-regular semihypergroup if and only if $ \mathcal{L}\cap\mathcal{R}\subseteq \mathcal{L}\circ\mathcal{R} $, for every Fermatean fuzzy left hyperideal $ \mathcal{L} $ and Fermatean fuzz
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V. Chitra. "Fermatean Picture Fuzzy Sets." Advances in Nonlinear Variational Inequalities 28, no. 1s (2024): 390–99. https://doi.org/10.52783/anvi.v28.2441.

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This paper introduces the concept of the Fermatean Picture Fuzzy Set (FPFS). We define several operations on these set. Additionally, we establish the concepts of images and preimages within the context of FPFS. Finally, we extend our discussion to the Fermatean Picture fuzzy topological space and define the properties using the theorems.
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Prasad, Archana Kumari, Mahima Thakur, Jyoti Pandey Bajpai, and Samajh Singh Thakur. "MAPPINGS ON FERMATEAN FUZZY SOFT CLASSES." South East Asian J. of Mathematics and Mathematical Sciences 20, no. 01 (2024): 197–210. http://dx.doi.org/10.56827/seajmms.2024.2001.15.

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This paper defined mappings on Fermatean fuzzy soft classes and established some results related to images and inverse images of Fermatean fuzzy soft sets under these mappings. Further Fermatean fuzzy soft continuous , Fermatean fuzzy soft open and Fermatean fuzzy soft closed mappings in Fermatean fuzzy soft topological spaces are created and established some theorems related their properties and characterizations.
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I., Silambarasan. "New operators for Fermatean fuzzy sets." Annals of Communications in Mathematics 3, no. 2 (2020): 116–31. https://doi.org/10.5281/zenodo.10046474.

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In this paper, we define some new operators[(A@B), (A$B), (A#B), (A∗ B), (A → B)] of Fermatean fuzzy sets. Then we discuss several properties of these operators. Further we prove necessity and possibility operators of Fermatean fuzzy sets and investigates the algebraic properties. Finally, we have identified and proved several of these properties, particularly those involving the operator A → B defined as Fermatean fuzzy implication with other operators.
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Gunjan, Manish Kumar, Amal Kumar Adak, and Davood Darvishi Salookolaei. "Fermatean Fuzzy Artinian and Noetherian Rings." Asian Research Journal of Mathematics 21, no. 5 (2025): 179–90. https://doi.org/10.9734/arjom/2025/v21i5933.

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This paper introduces and investigates the concepts of Fermatean fuzzy Artinian and Noetherian rings,extending classical ring-theoretic chain conditions into the framework of Fermatean fuzzy logic. We define Fermatean fuzzy left ideals and characterize the notions of Fermatean fuzzy left Artinian and Noetherian rings via descending and ascending chain conditions, respectively. We establish several structural properties, including the behavior of Fermatean fuzzy level subsets under ring homomorphisms, and the finiteness of the image sets of membership and non-membership degrees in Fermatean fuz
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Ruan, Chuanyang, and Lin Yan. "Fermatean Probabilistic Hesitant Fuzzy Power Bonferroni Aggregation Operators with Dual Probabilistic Information and Their Application in Green Supplier Selection." Axioms 13, no. 9 (2024): 602. http://dx.doi.org/10.3390/axioms13090602.

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In the realm of management decision-making, the selection of green suppliers has long been a complex issue. Companies must take a holistic approach, evaluating potential suppliers based on their capabilities, economic viability, and environmental impact. The decision-making process, fraught with intricacies and uncertainties, urgently demands the development of a scientifically sound and efficient method for guidance. Since the concept of Fermatean fuzzy sets (FFSs) was proposed, it has been proved to be an effective tool for solving multi-attribute decision-making (MADM) problems in complicat
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Sahoo, Laxminarayan. "Some Score Functions on Fermatean Fuzzy Sets and Its Application to Bride Selection Based on TOPSIS Method." International Journal of Fuzzy System Applications 10, no. 3 (2021): 18–29. http://dx.doi.org/10.4018/ijfsa.2021070102.

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The aim of this paper is to propose some score functions for the fruitful ranking of fermatean fuzzy sets (FFSs) and fermatean fuzzy TOPSIS method based on proposed score functions. fermatean fuzzy sets proposed by Senapati and Yager can handle uncertain information more easily in the process of multi-criteria decision making (MCDM). In this paper, the authors have proposed three newly improved score functions for effective ranking of fermatean fuzzy sets. Here, they have applied the proposed score function to calculate the separation measure of each alternative from the positive and negative
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Gonul Bilgin, Nazmiye, Dragan Pamučar, and Muhammad Riaz. "Fermatean Neutrosophic Topological Spaces and an Application of Neutrosophic Kano Method." Symmetry 14, no. 11 (2022): 2442. http://dx.doi.org/10.3390/sym14112442.

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The main objective of this paper is to redefine the concept of Fermatean neutrosophic sets as well as to introduce topological structure on Fermatean neutrosophic sets. The idea of Fermatean neutrosophic sets is the hybrid model of Fermatean fuzzy sets and neutrosophic sets to utilize key features of these structures. Topological data analysis for indeterminate and uncertain information is a rapidly developing field. Motivated by this recent trend, the idea of Fermatean neutrosophic topology is proposed, which is an extension of neutrosophic topology and Fermatean fuzzy topology. Some fundamen
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Garg, Harish, Gulfam Shahzadi, and Muhammad Akram. "Decision-Making Analysis Based on Fermatean Fuzzy Yager Aggregation Operators with Application in COVID-19 Testing Facility." Mathematical Problems in Engineering 2020 (August 18, 2020): 1–16. http://dx.doi.org/10.1155/2020/7279027.

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This research article is devoted to establish some general aggregation operators, based on Yager’s t-norm and t-conorm, to cumulate the Fermatean fuzzy data in decision-making environments. The Fermatean fuzzy sets (FFSs), an extension of the orthopair fuzzy sets, are characterized by both membership degree (MD) and nonmembership degree (NMD) that enable them to serve as an excellent tool to represent inexact human opinions in the decision-making process. In this article, the valuable properties of the FFS are merged with the Yager operator to propose six new operators, namely, Fermatean fuzzy
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Book chapters on the topic "Fermatean Fuzzy sets"

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Sergi, Duygu, and Irem Ucal Sari. "Fuzzy Capital Budgeting Using Fermatean Fuzzy Sets." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51156-2_52.

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Sivadas, Aparna, and Sunil Jacob John. "Fermatean Fuzzy Soft Sets and Its Applications." In Communications in Computer and Information Science. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4772-7_16.

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Yadav, Pooja, Ankit Kumar, Reeta Bhardwaj, and Kamal Kumar. "A Novel Distance Measure for Fermatean Fuzzy Sets." In Lecture Notes in Networks and Systems. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-1449-3_19.

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Princy, R., R. Radha, and Said Broumi. "Similarity Measures of Fermatean Neutrosophic Sets Based on the Euclidean Distance." In Data-Driven Modelling with Fuzzy Sets. CRC Press, 2024. http://dx.doi.org/10.1201/9781003487104-11.

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Camci, Alper, Muharrem Eray Ertürk, and Sait Gül. "A Novel Fermatean Fuzzy Analytic Hierarchy Process Proposition and Its Usage for Supplier Selection Problem in Industry 4.0 Transition." In q-Rung Orthopair Fuzzy Sets. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-1449-2_16.

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Zuakwagh, Doonen, Paul Augustine Ejegwa, and Abolape Deborah Akwu. "Fermatean fuzzy sets in multiset framework with application in diagnostic process based on composite relations." In Strategic Fuzzy Extensions and Decision-making Techniques. CRC Press, 2024. http://dx.doi.org/10.1201/9781003497219-13.

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Bui, Quang-Thinh, Thao Tran-Phuong, Thanh Nha Nguyen, Bao Huynh, and Bay Vo. "Novel Distances for Fermatean Fuzzy Sets in Multi-attribute Decision-Making Using Covering-Based Rough Sets." In Lecture Notes in Computer Science. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-4603-6_6.

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Feng, Xue, Jun Wang, and Yuping Xing. "A Novel Multi-Attribute Decision-Making Method Based on Linguistic Fermatean Fuzzy Sets and Power Average Operator." In IEIS 2022. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-3618-2_4.

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Sahoo, Laxminarayan, Akul Rana, Tapan Senapati, and Ronald R. Yager. "Score Function-Based Effective Ranking of Interval-Valued Fermatean Fuzzy Sets and Its Applications to Multi-criteria Decision Making Problem." In Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4929-6_20.

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Rani, Vanita, and Satish Kumar. "A Modified MCDM Approach Based on Fermatean Fuzzy Sets Orthopair Sine Distance Measure with Application on Online Shopping." In Lecture Notes in Networks and Systems. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-3287-9_27.

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Conference papers on the topic "Fermatean Fuzzy sets"

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Salsabeela, V., and Sunil Jacob John. "TOPSIS techniques on fermatean fuzzy soft sets." In INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCES-MODELLING, COMPUTING AND SOFT COMPUTING (CSMCS 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0045914.

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Lalitha, K., and N. Buvaneswari. "Application of Fermatean Fuzzy Sets in Career Determination." In 2023 Fifth International Conference on Electrical, Computer and Communication Technologies (ICECCT). IEEE, 2023. http://dx.doi.org/10.1109/icecct56650.2023.10179648.

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Journal articles
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