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International Journal of General Systems Volume 32, 2003 - Issue 4: Issue Fuzzy Logic in Systems Modelling
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Original Articles

Solvability and approximate solvability of fuzzy relation equations*

Irina Perfilieva University of Ostrava Institute for Research and Applications of Fuzzy Modeling, Ostrava, Czech RepublicCorrespondence[email protected]
&
Siegfried Gottwald‡ Institute for Logic and Philosophy of Science, Leipzig University, Leipzig, Germany
Pages 361-372 | Received 10 Dec 2002, Accepted 24 Feb 2003, Published online: 17 Oct 2011

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Beri Venkatachalapathy Senthil Kumar & Hemen Dutta. (2019) Fuzzy stability of a rational functional equation and its relevance to system design. International Journal of General Systems 48:2, pages 157-169.
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Articles from other publishers (21)

Nhung Cao & Martin Štěpnička. 2023. Fuzzy Logic and Technology, and Aggregation Operators. Fuzzy Logic and Technology, and Aggregation Operators 74 85 .
Sha Qiao & Ping Zhu. (2020) Extremal solutions to fuzzy relation equations and inequalities with three unknowns. Journal of Intelligent & Fuzzy Systems 38:4, pages 5055-5076.
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Hou & Wen. (2019) Modeling and Solving of Uncertain Process Abnormity Diagnosis Problem. Energies 12:8, pages 1580.
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Ivan Stanković, Miroslav Ćirić & Jelena Ignjatović. (2017) Fuzzy relation equations and inequalities with two unknowns and their applications. Fuzzy Sets and Systems 322, pages 86-105.
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Huang Cao, Yuan Haiwen, Ma Zhao, Shi Jian, Zhou Limei & Guo Xin. (2015) The fault diagnosis of aircraft power system based on inverse problem of fuzzy optimization. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 230:6, pages 1059-1074.
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J. Konior. (2015) Random And Fuzzy Measure Of Unpredictable Construction Works. Archives of Civil Engineering 61:3, pages 75-88.
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Jelena Ignjatović, Miroslav Ćirić, Branimir Šešelja & Andreja Tepavčević. (2015) Fuzzy relational inequalities and equations, fuzzy quasi-orders, closures and openings of fuzzy sets. Fuzzy Sets and Systems 260, pages 1-24.
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Aleksandar Stamenković, Miroslav Ćirić & Jelena Ignjatović. (2014) Reduction of fuzzy automata by means of fuzzy quasi-orders. Information Sciences 275, pages 168-198.
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Irina Perfilieva. (2013) Finitary solvability conditions for systems of fuzzy relation equations. Information Sciences 234, pages 29-43.
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Irina Perfilieva & Jiri Kupka. 2013. Soft Computing: State of the Art Theory and Novel Applications. Soft Computing: State of the Art Theory and Novel Applications 55 70 .
Jelena Ignjatović, Miroslav Ćirić, Nada Damljanović & Ivana Jančić. (2012) Weakly linear systems of fuzzy relation inequalities: The heterogeneous case. Fuzzy Sets and Systems 199, pages 64-91.
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Alexander P. Rotshtein & Hanna B. RakytyanskaAlexander P. Rotshtein & Hanna B. Rakytyanska. 2012. Fuzzy Evidence in Identification, Forecasting and Diagnosis. Fuzzy Evidence in Identification, Forecasting and Diagnosis 163 192 .
Jelena Ignjatović, Miroslav Ćirić & Stojan Bogdanović. (2010) On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations. Fuzzy Sets and Systems 161:24, pages 3081-3113.
Crossref
Irina Perfilieva. 2010. Quantitative Logic and Soft Computing 2010. Quantitative Logic and Soft Computing 2010 71 79 .
Irina Perfilieva. 2010. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods 545 552 .
Xue-ping Wang & Chang Xia. (2009) The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices. Fuzzy Sets and Systems 160:20, pages 2989-3006.
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A.P. Rotshtein & H.B. Rakytyanska. (2008) Diagnosis Problem Solving Using Fuzzy Relations. IEEE Transactions on Fuzzy Systems 16:3, pages 664-675.
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A. B. Rakityanskaya & A. P. Rotshtein. (2007) Fuzzy relation-based diagnosis. Automation and Remote Control 68:12, pages 2198-2213.
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Alexander P. Rotshtein, Morton Posner & Hanna B. Rakytyanska. (2006) Cause and effect analysis by fuzzy relational equations and a genetic algorithm. Reliability Engineering & System Safety 91:9, pages 1095-1101.
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Irina Perfilieva. (2004) Fuzzy function as an approximate solution to a system of fuzzy relation equations. Fuzzy Sets and Systems 147:3, pages 363-383.
Crossref
S. Gottwald. (2004) Fuzzy control and fuzzy relation equations. A unified view as interpolation problem. Fuzzy control and fuzzy relation equations. A unified view as interpolation problem.

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