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Relevant bibliographies by topics / Fuzzy arithmetic

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Academic literature on the topic 'Fuzzy arithmetic'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Fuzzy arithmetic"

1

Anile, A. M., S. Deodato, and G. Privitera. "Implementing fuzzy arithmetic." Fuzzy Sets and Systems 72, no. 2 (1995): 239–50. http://dx.doi.org/10.1016/0165-0114(94)00355-b.

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Stepnicka, Martin, Bernard De Baets, and Lenka Noskova. "Arithmetic Fuzzy Models." IEEE Transactions on Fuzzy Systems 18, no. 6 (2010): 1058–69. http://dx.doi.org/10.1109/tfuzz.2010.2062522.

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Musilekl, Petr, and Madan M. Gupta. "Fuzzy Neural Models Based on Some New Fuzzy* Arithmetic Operations." Journal of Advanced Computational Intelligence and Intelligent Informatics 3, no. 4 (1999): 245–54. http://dx.doi.org/10.20965/jaciii.1999.p0245.

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This paper introduces a novel approach to fuzzy arithmetic computation in fuzzy neural networks. The first part provides an overview of the standard fuzzy arithmetic operations and limitations of their use in fuzzy arithmetic based neural models. Consequently, alternative fuzzy arithmetic operations are developed and their aspects for the neural models are discussed in more detail. Originality of our approach lies in the treatment of neural inputs and weights as interactive variables which allows control of uncertainty growth in neural processing. Besides the detailed theoretical description o

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Simo, Ulrich Florian, and Henri Gwét. "Fuzzy Triangular Aggregation Operators." International Journal of Mathematics and Mathematical Sciences 2018 (2018): 1–13. http://dx.doi.org/10.1155/2018/9209524.

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We present a new class of fuzzy aggregation operators that we call fuzzy triangular aggregation operators. To do so, we focus on the situation where the available information cannot be assessed with exact numbers and it is necessary to use another approach to assess uncertain or imprecise information such as fuzzy numbers. We also use the concept of triangular norms (t-norms and t-conorms) as pseudo-arithmetic operations. As a result, we get notably the fuzzy triangular weighted arithmetic (FTWA), the fuzzy triangular ordered weighted arithmetic (FTOWA), the fuzzy generalized triangular weight

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Piegat, Andrzej, and Marcin Pluciński. "Fuzzy Number Addition with the Application of Horizontal Membership Functions." Scientific World Journal 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/367214.

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The paper presents addition of fuzzy numbers realised with the application of the multidimensional RDM arithmetic and horizontal membership functions (MFs). Fuzzy arithmetic (FA) is a very difficult task because operations should be performed here on multidimensional information granules. Instead, a lot of FA methods useα-cuts in connection with 1-dimensional classical interval arithmetic that operates not on multidimensional granules but on 1-dimensional intervals. Such approach causes difficulties in calculations and is a reason for arithmetical paradoxes. The multidimensional approach allow

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DEHGHAN, MEHDI, MEHDI GHATEE, and BEHNAM HASHEMI. "SOME COMPUTATIONS ON FUZZY MATRICES: AN APPLICATION IN FUZZY ANALYTICAL HIERARCHY PROCESS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16, no. 05 (2008): 715–33. http://dx.doi.org/10.1142/s0218488508005583.

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Fuzzy mathematics is a generalization in which fuzzy numbers replace real numbers and fuzzy arithmetic replaces real arithmetic. It is an excellent scope for modeling vague and uncertain aspects of the actual environments. In this important area, Dubois and Prade1 defined a fuzzy matrix as a rectangular array of fuzzy numbers. They have also defined the LR type fuzzy numbers with some useful approximate arithmetic operators. The aim of this paper is to extend some useful aspects of linear algebra e.g. determinant, norm and eigenvalue for fuzzy matrices with LR fuzzy number entries by the use o

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Babakordi, F. "Arithmetic Operations on Generalized Trapezoidal Hesitant Fuzzy Numbers and Their Application to Solving Generalized Trapezoidal Hesitant Fully Fuzzy Equation." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 32, no. 01 (2024): 85–108. http://dx.doi.org/10.1142/s0218488524500041.

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Algebraic operations on generalized hesitant fuzzy numbers are key tools to address the problems with decision uncertainty. In this paper, by studying the arithmetic operations on generalized trapezoidal hesitant fuzzy numbers, modified arithmetic operations are introduced for this class of numbers so that, using these arithmetic operations, the multiplication and division of two generalized trapezoidal hesitant fuzzy numbers are always generalized trapezoidal hesitant fuzzy numbers. Furthermore, a generalized trapezoidal hesitant fuzzy number raised to the power of a real number is a generali

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Ma, Ming, Menahem Friedman, and Abraham Kandel. "A new fuzzy arithmetic." Fuzzy Sets and Systems 108, no. 1 (1999): 83–90. http://dx.doi.org/10.1016/s0165-0114(97)00310-2.

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Gao, Lun Shan. "The fuzzy arithmetic mean." Fuzzy Sets and Systems 107, no. 3 (1999): 335–48. http://dx.doi.org/10.1016/s0165-0114(98)00050-5.

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A, Mohamed Ali, and Maanvizhi P. "A study on multiplication operation on triangular fuzzy numbers." Journal of Computational Mathematica 5, no. 2 (2021): 55–62. http://dx.doi.org/10.26524/cm107.

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The arithmetic operations on fuzzy number are basic content in fuzzy mathematics. But still the operations of fuzzy arithmetic operations are not established. There are some arithmetic operations for computing fuzzy number. Certain are analytical methods and further are approximation methods. In this paper we, compare the multiplication operation on triangular fuzzy number between α-cut method and standard approximation method and give some examples.

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Dissertations / Theses on the topic "Fuzzy arithmetic"

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Hanss, Michael. "Applied fuzzy arithmetic : an introduction with engineering applications /." Berlin [u.a.] : Springer, 2005. http://www.loc.gov/catdir/enhancements/fy0662/2004117177-d.html.

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Klimke, W. Andreas [Verfasser]. "Uncertainty Modeling using Fuzzy Arithmetic and Sparse Grids / W Andreas Klimke." Aachen : Shaker, 2006. http://d-nb.info/1186587008/34.

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Silva, Juliano Andrade 1976. "Método para a detecção de perdas não técnicas usando lógica nebulosa como principal agente preditivo." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/262042.

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Orientador: Carlos Alberto Favarin Murari<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação<br>Made available in DSpace on 2018-08-24T05:02:33Z (GMT). No. of bitstreams: 1 Silva_JulianoAndrade_M.pdf: 2172048 bytes, checksum: c41c62db07439b74c8ae778f46eda707 (MD5) Previous issue date: 2013<br>Resumo: A partir das privatizações do setor elétrico nacional na década de 90, o governo federal julgou necessário fortalecer a regulação sobre as concessionárias de distribuição de energia elétrica enquanto que as empresas adquirentes buscara

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Nunes, Ronaldo Fernandes. "Analise dinamica de problemas não deterministicos usando metodos baseados em conjuntos nebulosos." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263230.

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Orientador: Jose Roberto de França Arruda<br>Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica<br>Made available in DSpace on 2018-08-05T10:01:28Z (GMT). No. of bitstreams: 1 Nunes_RonaldoFernandes_D.pdf: 2368458 bytes, checksum: 01da7061fcacf61682f9aa00dceb6837 (MD5) Previous issue date: 2005<br>Resumo: Neste trabalho, o problema da análise dinâmica de estruturas em médias freqüências é abordado. Em geral, métodos numéricos tais como elementos finitos e elementos de contorno não são apropriados para tratar estes casos. As principais razões são a necessid

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Aranibar, Luis Alfonso Quiroga. "Learning fuzzy logic from examples." Ohio : Ohio University, 1994. http://www.ohiolink.edu/etd/view.cgi?ohiou1176495652.

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Dixon, Walter L. "The Geometric Mean as a Generator of Truth-Value in Heuristic Expert Systems: An Improvement over the Fuzzy Weighted Arithmetic Mean." NSUWorks, 2002. http://nsuworks.nova.edu/gscis_etd/489.

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Many earlier expert systems that were modeled after MYCIN, the first expert system, employed truth-value factors for their rule antecedents (premises) and consequents (conclusions). These crisp truth-value factors were usually called certainty factors and attempted to provide a measure of confidence and computational capability to the analysis of rule uncertainty (Shortliffe, 1977; Kandel, 1994). However, in the literature criticism has been often expressed concerning the lack of precision a crisp truth/certainty factor value conveys (Zadeh, 1983; Turban, 1993). Zadeh (1973) and Xingui (1988)

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Gerner, Alexander. "A novel strategy for estimating groundwater recharge in arid mountain regions and its application to parts of the Jebel Akhdar Mountains (Sultanate of Oman)." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-137045.

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In arid regions, mountain catchments are the major contributor to the total natural water yield. Due to generally low groundwater tables, subsurface underflow - referred to as mountain-front recharge - is important in distinction to the surface runoff at the mountain front. The extent of the groundwater basin is hereby often vague. Approaches to assess mountain-front recharge are mostly based on groundwater data and integrate over time and space. This, however, cannot provide prognostic and time-dependent estimates of subsurface inflow to the adjacent alluvial basin aquifer. Consequently, the

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Gauger, Ute. "Methoden zur Simulation und Analyse fuzzy-parametrisierter Systeme insbesondere mit zweidimensionalen Ergebnisgrössen." Tönning Lübeck Marburg Der Andere Verl, 2007. http://d-nb.info/985320346/04.

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Abdalla, Alvaro Martins. "OMPP para projeto conceitual de aeronaves, baseado em heurísticas evolucionárias e de tomadas de decisões." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/18/18148/tde-13012011-113940/.

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Este trabalho consiste no desenvolvimento de uma metodologia de otimização multidisciplinar de projeto conceitual de aeronaves. O conceito de aeronave otimizada tem como base o estudo evolutivo de características das categorias imediatas àquela que se propõe. Como estudo de caso, foi otimizada uma aeronave de treinamento militar que faça a correta transição entre as fases de treinamento básico e avançado. Para o estabelecimento dos parâmetros conceituais esse trabalho integra técnicas de entropia estatística, desdobramento da função de qualidade (QFD), aritmética fuzzy e algoritmo genético (GA

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Masoudi, Pedram. "Application of hybrid uncertainty-clustering approach in pre-processing well-logs." Thesis, Rennes 1, 2017. http://www.theses.fr/2017REN1S023/document.

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La thèse est principalement centrée sur l'étude de la résolution verticale des diagraphies. On outre, l'arithmétique floue est appliquée aux modèles expérimentaux pétrophysiques en vue de transmettre l'incertitude des données d'entrée aux données de sortie, ici la saturation irréductible en eau et la perméabilité. Les diagraphies sont des signaux digitaux dont les données sont des mesures volumétriques. Le mécanisme d'enregistrement de ces données est modélisé par des fonctions d'appartenance floues. On a montré que la Résolution Verticale de la Fonction d'Appartenance (VRmf) est supérieur d'e

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Books on the topic "Fuzzy arithmetic"

1

Rocha, Armando Freitas, Eduardo Massad, and Alfredo Pereira. The Brain: Fuzzy Arithmetic to Quantum Computing. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-32357-0.

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M, Gupta Madan, ed. Introduction to fuzzy arithmetic: Theory and applications. Van Nostrand Reinhold Co., 1985.

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M, Gupta Madan, ed. Introduction to fuzzy arithmetic: Theory and applications. Van Nostrand Reinhold, 1991.

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Kaufmann, A. Fuzzy mathematical models in engineering and management science. North-Holland, 1988.

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International Symposium on Fuzzy Mathematics in Earthquake Researches (1985 Peking, China). Fuzzy mathematics in earthquake researches: Proceedings of International Symposium on Fuzzy Mathematics in Earthquake Researches. Seismological Press, 1985.

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Applied Fuzzy Arithmetic. Springer-Verlag, 2005. http://dx.doi.org/10.1007/b138914.

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Hanss, Michael. Applied Fuzzy Arithmetic. Springer, 2008.

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Gupta, Madan M., and Arnold Kaufman. Introduction to Fuzzy Arithmetic. Van Nostrand Reinhold Company, 1991.

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9

Aliev, R. A., Akif A. Alizadeh, Oleg H. Huseynov, and Rashad R. Aliyev. Arithmetic of Z-Numbers: Theory and Applications. World Scientific Publishing Co Pte Ltd, 2015.

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Hanss, Michael. Applied Fuzzy Arithmetic: An Introduction with Engineering Applications. Springer, 2010.

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Book chapters on the topic "Fuzzy arithmetic"

1

Trillas, Enric, and Luka Eciolaza. "Fuzzy Arithmetic." In Fuzzy Logic. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14203-6_6.

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Bede, Barnabas. "Fuzzy Arithmetic." In Mathematics of Fuzzy Sets and Fuzzy Logic. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35221-8_5.

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3

Chakraverty, Snehashish, and Saudamini Rout. "Fuzzy-Affine Arithmetic." In Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-031-02424-5_4.

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Piegat, Andrzej. "Arithmetic of Fuzzy Sets." In Fuzzy Modeling and Control. Physica-Verlag HD, 2001. http://dx.doi.org/10.1007/978-3-7908-1824-6_3.

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Pedrycz, Witold. "Fuzzy Set Transformation and Fuzzy Arithmetic." In An Introduction to Computing with Fuzzy Sets. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52800-3_5.

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Piegat, Andrzej, and Marek Landowski. "On Fuzzy RDM-Arithmetic." In Hard and Soft Computing for Artificial Intelligence, Multimedia and Security. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48429-7_1.

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Piegat, Andrzej, and Marek Landowski. "Why Multidimensional Fuzzy Arithmetic?" In 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04164-9_6.

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Singh, Manoranjan Kumar. "Arithmetic Operations on Fuzzy Numbers." In Forum for Interdisciplinary Mathematics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-3270-8_6.

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Hanss, Michael. "Fuzzy Arithmetic for Uncertainty Analysis." In On Fuzziness. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35641-4_36.

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Stefanini, Luciano. "New Tools in Fuzzy Arithmetic with Fuzzy Numbers." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14058-7_49.

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Conference papers on the topic "Fuzzy arithmetic"

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Pisco-Jordán, Juan, Luis Ramos-Pozo, Danaé Townsend-Hinostroza, and Ana Tapia-Rosero. "xf-Calc: Towards a Fair Comparison Between Approaches for Fuzzy Numbers Arithmetic." In 2024 IEEE Latin American Conference on Computational Intelligence (LA-CCI). IEEE, 2024. https://doi.org/10.1109/la-cci62337.2024.10814861.

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Gonzalez-Hidalgo, Manuel, Sebastia Massanet, Arnau Mir, and Daniel Ruiz-Aguilera. "On the Weighted Arithmetic Mean Fuzzy Filter." In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2015. http://dx.doi.org/10.1109/fuzz-ieee.2015.7338019.

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Mohamad, Daud, and Noor Aida Mohamad Rofai. "On arithmetic operations of G-number." In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2015. http://dx.doi.org/10.1109/fuzz-ieee.2015.7337820.

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Franzoi, Laura. "Irrelevance in Incomplete Fuzzy Arithmetic." In 2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2016. http://dx.doi.org/10.1109/synasc.2016.052.

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Wang, Guixiang, and ChengLin Wen. "A New Fuzzy Arithmetic for Discrete Fuzzy Numbers." In Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007). IEEE, 2007. http://dx.doi.org/10.1109/fskd.2007.75.

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Lamara, H., L. Vermeiren, and D. Roger. "ϕ-calculus: A new fuzzy arithmetic." In 2006 IEEE Conference on Emerging Technologies and Factory Automation. IEEE, 2006. http://dx.doi.org/10.1109/etfa.2006.355426.

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Lefort, Sebastien, Marie-Jeanne Lesot, Elisabetta Zibetti, Charles Tijus, and Marcin Detyniecki. "How arithmetically fuzzy are we? An empirical comparison of human imprecise calculation and fuzzy arithmetic." In 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2017. http://dx.doi.org/10.1109/fuzz-ieee.2017.8015629.

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Bin, Zeng, Chao Luo, Jiang Xiao-Li, and Jun Sun. "The arithmetic of discover Cyclic Association Rules based on difference sequence arithmetic clustering." In 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2010. http://dx.doi.org/10.1109/fskd.2010.5569688.

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Martin, T. P., and B. Azvine. "The X-mu approach: Fuzzy quantities, fuzzy arithmetic and fuzzy association rules." In 2013 IEEE Symposium on Foundations of Computational Intelligence (FOCI). IEEE, 2013. http://dx.doi.org/10.1109/foci.2013.6602451.

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Bogdan, S., Z. Kovacic, I. Fazinic, and I. Draganjac. "Fuzzy Arithmetic-based Stability Analysis and Design of Fuzzy Controller." In 2007 IEEE International Conference on Automation Science and Engineering. IEEE, 2007. http://dx.doi.org/10.1109/coase.2007.4341699.

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Reports on the topic "Fuzzy arithmetic"

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Kryzhanivs'kyi, Evstakhii, Liliana Horal, Iryna Perevozova, Vira Shyiko, Nataliia Mykytiuk, and Maria Berlous. Fuzzy cluster analysis of indicators for assessing the potential of recreational forest use. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/4470.

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Cluster analysis of the efficiency of the recreational forest use of the region by separate components of the recreational forest use potential is provided in the article. The main stages of the cluster analysis of the recreational forest use level based on the predetermined components were determined. Among the agglomerative methods of cluster analysis, intended for grouping and combining the objects of study, it is common to distinguish the three most common types: the hierarchical method or the method of tree clustering; the K-means Clustering Method and the two-step aggregation method. For

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