Academic literature on the topic 'Theory of fuzzy logic'

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Journal articles on the topic "Theory of fuzzy logic"

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GAO, XIAOYU, Q. S. GAO, Y. HU, and L. LI. "A PROBABILITY-LIKE NEW FUZZY SET THEORY." International Journal of Pattern Recognition and Artificial Intelligence 20, no. 03 (2006): 441–62. http://dx.doi.org/10.1142/s0218001406004697.

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In this paper, the reasons for the shortcoming of Zadeh's fuzzy set theory — it cannot correctly reflect different kinds of fuzzy phenomenon in the natural world — are discussed. In addition, the proof of the error of Zadeh's fuzzy set theory — it incorrectly defined the set complement that cannot exist in Zadeh's fuzzy set theory — is proposed. This error of Zadeh's fuzzy set theory causes confusion in thinking, logic and conception. It causes the seriously mistaken belief that logics of fuzzy sets necessarily go against classical and normal thinking, logic and conception. Two new fuzzy set t
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Takeuti, Gaisi, and Satoko Titani. "Fuzzy logic and fuzzy set theory." Archive for Mathematical Logic 32, no. 1 (1992): 1–32. http://dx.doi.org/10.1007/bf01270392.

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Ching, Hugh. "The Fuzzy Completeness Theory." Journal of Research in Philosophy and History 4, no. 1 (2021): p52. http://dx.doi.org/10.22158/jrph.v4n1p52.

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The Two Incompleteness Theorems of Kurt Friedrich Gödel and the Impossibility Theorem of Kenneth Arrow claim that logic, the most reliable of human knowledge, is incomplete or can be inconsistent. The Fuzzy Completeness Theory states that the Fuzzy Logic of Lotfi A. Zadeh has resolved the incompleteness and impossibility in logic and made logic complete and knowledge reliable with the new concept of Range of Tolerance, within which logic is still complete and knowledge, valid. In the Age of Reason about 300 years ago just prior to the Age of Science, reasoning is free for all, without the cons
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Maseleno, Andino, Md Mahmud Hasan, and Norjaidi Tuah. "Combining Fuzzy Logic and Dempster-Shafer Theory." TELKOMNIKA Indonesian Journal of Electrical Engineering 16, no. 3 (2015): 583. http://dx.doi.org/10.11591/tijee.v16i3.1651.

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This research aims to combine the mathematical theory of evidence with the rule based logics to refine the predictable output. Integrating Fuzzy Logic and Dempster-Shafer theory by calculating the similarity between Fuzzy membership function. The novelty aspect of this work is that basic probability assignment is proposed based on the similarity measure between membership function. The similarity between Fuzzy membership function is calculated to get a basic probability assignment. The Dempster-Shafer mathematical theory of evidence has attracted considerable attention as a promising method of
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PUNČOCHÁŘ, VÍT. "SUBSTRUCTURAL INQUISITIVE LOGICS." Review of Symbolic Logic 12, no. 2 (2019): 296–330. http://dx.doi.org/10.1017/s1755020319000017.

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AbstractThis paper shows that any propositional logic that extends a basic substructural logic BSL (a weak, nondistributive, nonassociative, and noncommutative version of Full Lambek logic with a paraconsistent negation) can be enriched with questions in the style of inquisitive semantics and logic. We introduce a relational semantic framework for substructural logics that enables us to define the notion of an inquisitive extension of λ, denoted as ${\lambda ^?}$, for any logic λ that is at least as strong as BSL. A general theory of these “inquisitive extensions” is worked out. In particular,
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Arfi, Badredine. "Linguistic Fuzzy-Logic Game Theory." Journal of Conflict Resolution 50, no. 1 (2006): 28–57. http://dx.doi.org/10.1177/0022002705284708.

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Heubo-Kwegna, Olivier A. "Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory." Advances in Fuzzy Systems 2016 (2016): 1–4. http://dx.doi.org/10.1155/2016/3839265.

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We discuss a fuzzy result by displaying an example that shows how a classical argument fails to work when one passes from classical logic to fuzzy logic. Precisely, we present an example to show that, in the fuzzy context, the fact that the supremum is naturally used in lieu of the union can alter an argument that may work in the classical context.
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Lano, K. "Intuitionistic modal logic and set theory." Journal of Symbolic Logic 56, no. 2 (1991): 497–516. http://dx.doi.org/10.2307/2274696.

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The mathematical treatment of the concepts of vagueness and approximation is of increasing importance in artificial intelligence and related research. The theory of fuzzy sets was created by Zadeh [Z] to allow representation and mathematical manipulation of situations of partial truth, and proceeding from this a large amount of theoretical and applied development of this concept has occurred. The aim of this paper is to develop a natural logic and set theory that is a candidate for the formalisation of the theory of fuzzy sets. In these theories the underlying logic of properties and sets is i
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Wedding, Donald K. "Fuzzy sets and fuzzy logic: Theory and applications." Neurocomputing 14, no. 3 (1997): 302–3. http://dx.doi.org/10.1016/s0925-2312(97)88327-0.

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Rouvray, Dennis H. "Fuzzy sets and fuzzy logic: Theory and applications." Endeavour 20, no. 1 (1996): 44. http://dx.doi.org/10.1016/s0160-9327(96)90083-6.

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Dissertations / Theses on the topic "Theory of fuzzy logic"

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Peters, Barry. "Stable fuzzy logic controllers for uncertain dynamic systems." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/18223.

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Wang, Haibin. "Interval neutrosophic sets and logic theory and applications in computing /." unrestricted, 2005. http://etd.gsu.edu/theses/available/etd-11172005-131340/.

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Thesis (Ph. D.)--Georgia State University, 2005.<br>1 electronic text (119 p. : ill.) : digital, PDF file. Title from title screen. Rajshekhar Sunderraman, committee chair; Yan-Qing Zhang, Anu Bourgeois, Lifeng Ding, committee members. Description based on contents viewed Apr. 3, 2007. Includes bibliographical references (p. 112-119).
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Al-Assaf, Y. "Self-tuning control : Theory and applications." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235033.

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Wang, Haibin. "Interval Neutrosophic Sets and Logic: Theory and Applications in Computing." Digital Archive @ GSU, 2006. http://digitalarchive.gsu.edu/cs_diss/2.

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A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The neutrosophic set is a powerful general formal framework that has been recently proposed. However, the neutrosophic set needs to be specified from a technical point of view. Here, we define the set-theoretic operators on an instance of a neutrosophic set, and call it an Interval Neutrosophic Set (INS). We prove various properties of INS, which are connected to operations and relations over INS. We also introduce a new logic
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Polkinghorne, Martyn Neal. "A self-organising fuzzy logic autopilot for small vessels." Thesis, University of Plymouth, 1994. http://hdl.handle.net/10026.1/1100.

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Currently small vessels use autopilots based on the Proportional plus Integral plus Derivative (PID) algorithm which utilises fixed gain values. This type of autopilot is known to often cause performance difficulties, a survey is therefore carried out to identify the alternative autopilot methods that have been previously investigated. It is shown that to date, all published work in this area has been based on large ships, however, there are specific difficulties applicable to the small vessel which have therefore not been considered. After the recognition of artificial neural networks and fuz
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Jin, Gang-Gyoo. "Intelligent fuzzy logic control of processes with time delays." Thesis, Cardiff University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388058.

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Ribeiro, Maria Rita Sarmento de Almeida. "Application of support logic theory to fuzzy multiple attribute decision problems." Thesis, University of Bristol, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357891.

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Hill, Carla. "Mass assignments for inductive logic programming." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325748.

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Guyot, Nicolas E. "Fuzzy logic and utility theory for multiobjective optimization of automotive joints." Thesis, This resource online, 1996. http://scholar.lib.vt.edu/theses/available/etd-08292008-063415/.

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Ornelas, Gilbert. "Set-valued extensions of fuzzy logic classification theorems /." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2007. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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Books on the topic "Theory of fuzzy logic"

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E, Vargas Raymond, ed. Fuzzy logic: Theory, programming, and applications. Nova Science Publishers, 2009.

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Bo, Yuan, ed. Fuzzy sets and fuzzy logic: Theory and applications. Prentice Hall PTR, 1995.

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Nicola, Olivetti, and Gabbay Dov M. 1945-, eds. Proof theory for fuzzy logics. Springer, 2009.

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Atanassov, Krassimir T. On Intuitionistic Fuzzy Sets Theory. Springer Berlin Heidelberg, 2012.

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Castillo, Oscar, and Patricia Melin. Type-2 Fuzzy Logic: Theory and Applications. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-76284-3.

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Li, Zhong, Wolfgang A. Halang, and Guanrong Chen, eds. Integration of Fuzzy Logic and Chaos Theory. Springer-Verlag, 2006. http://dx.doi.org/10.1007/b103243.

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Li, Zhong, Wolfgang A. Halang, and Guanrong Chen, eds. Integration of Fuzzy Logic and Chaos Theory. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-32502-6.

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Li, Zhong. Integration of fuzzy logic and chaos theory. Springer, 2010.

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Chen, Toly. Contemporary theory and pragmatic approaches in fuzzy computing utilization. Information Science Reference, 2013.

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Glykas, Michael. Fuzzy cognitive maps: Advances in theory, methodologies, tools and applications. Springer, 2010.

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Book chapters on the topic "Theory of fuzzy logic"

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Lowen, R. "Fuzzy Logic." In Fuzzy Set Theory. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8741-9_6.

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Li, Zhong, and Xu Zhang. "On Fuzzy Logic and Chaos Theory." In Fuzzy Logic. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-71258-9_5.

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Ahmed, Jameel, Mohammed Yakoob Siyal, Shaheryar Najam, and Zohaib Najam. "Fuzzy Logic Theory." In Fuzzy Logic Based Power-Efficient Real-Time Multi-Core System. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-3120-5_5.

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Warner, M. W. "Towards a Mathematical Theory of Fuzzy Topology." In Fuzzy Logic. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2014-2_8.

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Klement, Erich Peter, Radko Mesiar, and Endre Pap. "Fuzzy set theory." In Trends in Logic. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9540-7_12.

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Gottwald, Siegfried. "Basic fuzzy set theory." In Fuzzy Sets and Fuzzy Logic. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-86812-1_2.

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Bandyopadhyay, Susmita. "Fuzzy Theory and Fuzzy Logic." In Decision Support System. CRC Press, 2023. http://dx.doi.org/10.1201/9781003307655-5.

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Kruse, Rudolf, Jörg Gebhardt, and Frank Klawonn. "Numerical and Logical Approaches to Fuzzy Set Theory by the Context Model." In Fuzzy Logic. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2014-2_34.

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Dubois, Didier, and Henri Prade. "Fuzzy Sets and Possibility Theory : Some Applications to Inference and Decision Processes." In Fuzzy Logic. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78023-3_4.

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Bede, Barnabas. "Possibility Theory." In Mathematics of Fuzzy Sets and Fuzzy Logic. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35221-8_11.

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Conference papers on the topic "Theory of fuzzy logic"

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Yuan, Changmei, Xuanxuan Liu, Li Guo, Long Chen, and C. L. Philip Chen. "Lightweight Attention Network Based on Fuzzy Logic for Person Re-Identification." In 2024 International Conference on Fuzzy Theory and Its Applications (iFUZZY). IEEE, 2024. http://dx.doi.org/10.1109/ifuzzy63051.2024.10662881.

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"SATISFIABILITY DEGREE THEORY FOR TEMPORAL LOGIC." In International Conference on Fuzzy Computation Theory and Applications. SciTePress - Science and and Technology Publications, 2011. http://dx.doi.org/10.5220/0003672804970500.

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Castillo, Oscar, Patricia Melin, Janusz Kacprzyk, and Witold Pedrycz. "Type-2 Fuzzy Logic: Theory and Applications." In 2007 IEEE International Conference on Granular Computing (GRC 2007). IEEE, 2007. http://dx.doi.org/10.1109/grc.2007.118.

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Castillo, Oscar, Patricia Melin, Janusz Kacprzyk, and Witold Pedrycz. "Type-2 Fuzzy Logic: Theory and Applications." In 2007 IEEE International Conference on Granular Computing (GRC 2007). IEEE, 2007. http://dx.doi.org/10.1109/grc.2007.4403084.

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Leon, Teresa, and Vicente Liern. "Fuzzy logic helps to integrate music theory and practice." In 2010 IEEE International Conference on Fuzzy Systems. IEEE, 2010. http://dx.doi.org/10.1109/fuzzy.2010.5584652.

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"FUZZY LOGIC BASED QUALITY OF SERVICE MODELS." In International Conference on Fuzzy Computation Theory and Applications. SciTePress - Science and and Technology Publications, 2011. http://dx.doi.org/10.5220/0003694305160519.

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Brown, M. Q. "The theory and development of a neurofuzzy PID controller." In IEE Colloquium on Fuzzy Logic Controllers in Practice. IEE, 1996. http://dx.doi.org/10.1049/ic:19961130.

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Akey, Mark L. "Fuzzy logic ABS control: sizing theory to implementation." In Aerospace/Defense Sensing and Controls, edited by Bruno Bosacchi and James C. Bezdek. SPIE, 1996. http://dx.doi.org/10.1117/12.243262.

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Jain, Manisha, Leandro Gomes, Alexandre Madeira, and Luis S. Barbosa. "Towards a specification theory for fuzzy modal logic." In 2021 International Symposium on Theoretical Aspects of Software Engineering (TASE). IEEE, 2021. http://dx.doi.org/10.1109/tase52547.2021.00031.

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Subba Reddy, P. Venkata. "Fuzzy predicate logic for Knowledge Representation." In 2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY). IEEE, 2013. http://dx.doi.org/10.1109/ifuzzy.2013.6825407.

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Reports on the topic "Theory of fuzzy logic"

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Smith, James F., and III. A Fuzzy Logic Multisensor Association Algorithm: Theory and Simulation. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada330176.

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Borgwardt, Stefan, Felix Distel, and Rafael Peñaloza. Gödel Description Logics: Decidability in the Absence of the Finitely-Valued Model Property. Technische Universität Dresden, 2013. http://dx.doi.org/10.25368/2022.199.

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In the last few years there has been a large effort for analysing the computational properties of reasoning in fuzzy Description Logics. This has led to a number of papers studying the complexity of these logics, depending on their chosen semantics. Surprisingly, despite being arguably the simplest form of fuzzy semantics, not much is known about the complexity of reasoning in fuzzy DLs w.r.t. witnessed models over the Gödel t-norm. We show that in the logic G-IALC, reasoning cannot be restricted to finitely valued models in general. Despite this negative result, we also show that all the stan
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Borgwardt, Stefan, and Rafael Peñaloza. Undecidability of Fuzzy Description Logics. Technische Universität Dresden, 2011. http://dx.doi.org/10.25368/2022.184.

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Fuzzy description logics (DLs) have been investigated for over two decades, due to their capacity to formalize and reason with imprecise concepts. Very recently, it has been shown that for several fuzzy DLs, reasoning becomes undecidable. Although the proofs of these results differ in the details of each specific logic considered, they are all based on the same basic idea. In this report, we formalize this idea and provide sufficient conditions for proving undecidability of a fuzzy DL. We demonstrate the effectiveness of our approach by strengthening all previously-known undecidability results
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Borgwardt, Stefan, Marco Cerami, and Rafael Peñaloza. Subsumption in Finitely Valued Fuzzy EL. Technische Universität Dresden, 2015. http://dx.doi.org/10.25368/2022.212.

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Aus der Einleitung: Description Logics (DLs) are a family of knowledge representation formalisms that are successfully applied in many application domains. They provide the logical foundation for the Direct Semantics of the standard web ontology language OWL2. The light-weight DL EL, underlying the OWL2 EL profile, is of particular interest since all common reasoning problems are polynomial in this logic, and it is used in many prominent biomedical ontologies like SNOMEDCT and the Gene Ontology.
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Tsidylo, Ivan M., Serhiy O. Semerikov, Tetiana I. Gargula, Hanna V. Solonetska, Yaroslav P. Zamora, and Andrey V. Pikilnyak. Simulation of intellectual system for evaluation of multilevel test tasks on the basis of fuzzy logic. CEUR Workshop Proceedings, 2021. http://dx.doi.org/10.31812/123456789/4370.

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The article describes the stages of modeling an intelligent system for evaluating multilevel test tasks based on fuzzy logic in the MATLAB application package, namely the Fuzzy Logic Toolbox. The analysis of existing approaches to fuzzy assessment of test methods, their advantages and disadvantages is given. The considered methods for assessing students are presented in the general case by two methods: using fuzzy sets and corresponding membership functions; fuzzy estimation method and generalized fuzzy estimation method. In the present work, the Sugeno production model is used as the closest
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Tailor, Sanjay. Fuzzy Logic. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada310470.

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Meitzler, Thomas J., David Bednarz, E. J. Sohn, Kimberly Lane, and Darryl Bryk. Fuzzy Logic Based Image Fusion. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada405123.

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Lavrentieva, Olena O., Ihor O. Arkhypov, Olexander I. Kuchma, and Aleksandr D. Uchitel. Use of simulators together with virtual and augmented reality in the system of welders’ vocational training: past, present, and future. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3748.

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The article discusses the theory and methods of simulation training, its significance in the context of training specialists for areas where the lack of primary qualification is critical. The most widespread hardware and software solutions for the organization welders' simulation training that use VR- and AR- technologies have been analyzed. A review of the technological infrastructure and software tools for the virtual teaching-and-production laboratory of electric welding has been made on the example of the achievements of Fronius, MIMBUS, Seabery. The features of creating a virtual simulati
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Combs, James E. Advanced Control Techniques with Fuzzy Logic. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada604019.

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Bharadwaj, Arjun, and Jerry M. Mendel. Fuzzy Logic for Unattended Ground Sensor Fusion. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada444339.

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