Relevant bibliographies by topics / Fuzzy Relation Equations (FREs)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Fuzzy Relation Equations (FREs)'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Fuzzy Relation Equations (FREs)"

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QIN, FENG, and PING FANG. "A NEW KIND OF FUZZY RELATIONAL EQUATIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18, no. 03 (2010): 333–42. http://dx.doi.org/10.1142/s0218488510006568.

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In this paper, a new kind of fuzzy relational equations (FREs for short) A ∘R*x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an m × n matrix, x and b are an n and an m dimensional column vectors, respectively. More specifically, their solvability and unique solvability are investigated, the corresponding necessary and sufficient conditions are presented, the complete solution set is obtained. It is worth noting the method to construct the complete solution set.
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A. Danya. "Fuzzy Smbd Mathematical Model for Marriage Divorce." Advances in Nonlinear Variational Inequalities 28, no. 7s (2025): 158–70. https://doi.org/10.52783/anvi.v28.4494.

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In this study, a deterministic SMBD model for marriage and divorce in a population is put out and qualitatively analyzed using the stability theory of differential equations. Using a next-generation matrix technique, the basic reproduction number in relation to the divorce-free equilibrium was determined. The parameters for divorce-free equilibrium is local asymptotic stability have been determined. Fuzzy analysis has been done by taking into account the heartbroken couple overcame their differences and decided to get back together and some will pass away as a result of divorcing as membership
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Lee, S. H., and D. Zhang. "Dual fuzzy similarity relation equations." Computers & Mathematics with Applications 27, no. 11 (1994): 49–53. http://dx.doi.org/10.1016/0898-1221(94)90097-3.

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DI NOLA, ANTONIO, WITOLD PEDRYCZ, and SALVATORE SESSA. "PROCESSING OF FUZZY NUMBERS BY FUZZY RELATION EQUATIONS." Kybernetes 15, no. 1 (1986): 43–47. http://dx.doi.org/10.1108/eb005730.

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Ćirić, Miroslav, Aleksandar Stamenković, Jelena Ignjatović, and Tatjana Petković. "Fuzzy relation equations and reduction of fuzzy automata." Journal of Computer and System Sciences 76, no. 7 (2010): 609–33. http://dx.doi.org/10.1016/j.jcss.2009.10.015.

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Di Martino, Ferdinando, and Salvatore Sessa. "Spatial Analysis and Fuzzy Relation Equations." Advances in Fuzzy Systems 2011 (2011): 1–14. http://dx.doi.org/10.1155/2011/429498.

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We implement an algorithm that uses a system of fuzzy relation equations (SFRE) with the max-min composition for solving a problem of spatial analysis. We integrate this algorithm in a Geographical Information System (GIS) tool, and the geographical area under study is divided in homogeneous subzones (with respect to the parameters involved) to which we apply our process to determine the symptoms after that an expert sets the SFRE with the values of the impact coefficients. We find that the best solutions and the related results are associated to each subzone. Among others, we define an index
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Dubois, Didier, and Henri Prade. "Fuzzy relation equations and causal reasoning." Fuzzy Sets and Systems 75, no. 2 (1995): 119–34. http://dx.doi.org/10.1016/0165-0114(95)00105-t.

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Di Nola, Antonio, Salvatore Sessa, and Witold Pedrycz. "On some finite fuzzy relation equations." Information Sciences 50, no. 1 (1990): 93–109. http://dx.doi.org/10.1016/0020-0255(90)90006-v.

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Guangzhi Li and Shu-Cherng Fang. "Solving interval-valued fuzzy relation equations." IEEE Transactions on Fuzzy Systems 6, no. 2 (1998): 321–24. http://dx.doi.org/10.1109/91.669033.

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WANG, HSIAO-FAN, and HSI-MEI HSU. "SENSITIVITY ANALYSIS OF FUZZY RELATION EQUATIONS." International Journal of General Systems 19, no. 2 (1991): 155–69. http://dx.doi.org/10.1080/03081079108935169.

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Dissertations / Theses on the topic "Fuzzy Relation Equations (FREs)"

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Ahmed, Uzair, and Muhammad Saqib. "Optimal Solutions Of Fuzzy Relation Equations." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3158.

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Fuzzy relation equations are becoming extremely important in order to investigate the optimal solution of the inverse problem even though there is a restrictive condition for the availability of the solution of such inverse problems. We discussed the methods for finding the optimal (maximum and minimum) solution of inverse problem of fuzzy relation equation of the form $R \circ Q = T$ where for both cases R and Q are kept unknown interchangeably using different operators (e.g. alpha, sigma etc.). The aim of this study is to make an in-depth finding of best project among the host of projects, d
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Liaw, Yi-Ke, and 廖宜科. "Study on the Solution of Fuzzy Relation Equations." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/18731179214155474163.

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碩士<br>國立中央大學<br>電機工程研究所<br>87<br>This thesis studies two topics, one is the analysis on the product of fuzzy intervals multiplication and the other is the solution method of fuzzy relation equations. We propose the multiplication formulas of two fuzzy intervals or numbers in different cases in Chapter 2. The formulas are convenient for the use in computer program. Furthermore, in order to simplify the product calculation, the thesis also provides an approximation result of the product and proves that the approximation is reasonable. This thesis focuses on two directions
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ZHANG, YU-GI, and 張玉琪. "Resolution of the compositie interval-valued fuzzy relation equations." Thesis, 1989. http://ndltd.ncl.edu.tw/handle/11237714159472057531.

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Xu, Xi-Mei, and 許錫美. "A generalized approach to solving fuzzy relation equations with sensitivity analysis." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/13130345741489658684.

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Liang, Chun-hung, and 梁俊宏. "Deriving Minimal Solutions for Fuzzy Relation Equations with Max-imin Composition." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/08116558147653228576.

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碩士<br>國立臺南大學<br>數學教育學系碩士班<br>98<br>This work considers fuzzy relation equations with max-imin composition. The critical problem in solving such equations is how to obtain all minimal solutions efficiently. This work first examines the properties of a solvable equation and characteristics of minimal solutions, then reduces the equation to an irreducible form, and the problem is transformed into a covering problem, where minimal solutions are correspondingly determined. Moreover, for theoretical and practical applications, this work presents a novel method for obtaining minimal solutions. The pr
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Books on the topic "Fuzzy Relation Equations (FREs)"

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Antonio, Di Nola, ed. Fuzzy relation equations and their applications to knowledge engineering. Kluwer Academic, 1989.

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di Nola, Antonio, Salvatore Sessa, Witold Pedrycz, and Elie Sanchez. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-017-1650-5.

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Nola, Antonio. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer Netherlands, 1989.

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Pedrycz, Witold, Antonio Di Nola, and S. Sessa. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer, 2014.

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Book chapters on the topic "Fuzzy Relation Equations (FREs)"

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De Baets, Bernard. "FREs: the ODEs and PDEs of the Fuzzy Modelling Paradigm." In Fuzzy Partial Differential Equations and Relational Equations. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39675-8_8.

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Novák, Vilém. "Fuzzy Relation Equations with Words." In Fuzzy Partial Differential Equations and Relational Equations. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39675-8_6.

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Cao, Nhung, and Martin Štěpnička. "Fuzzy Relation Equations with Fuzzy Quantifiers." In Advances in Fuzzy Logic and Technology 2017. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66830-7_32.

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di Nola, Antonio, Salvatore Sessa, Witold Pedrycz, and Elie Sanchez. "α—Fuzzy Relation Equations and Decomposable Fuzzy Relations." In Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-017-1650-5_6.

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Sanchez, Elie. "Fuzzy Relation Equations : Methodology and Applications." In Fuzzy Sets Theory and Applications. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4682-8_11.

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di Nola, Antonio, Salvatore Sessa, Witold Pedrycz, and Elie Sanchez. "Approximate Solutions of Fuzzy Relation Equations." In Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-017-1650-5_10.

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di Nola, Antonio, Salvatore Sessa, Witold Pedrycz, and Elie Sanchez. "Fuzzy Relation Equations in Residuated Lattices." In Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-017-1650-5_2.

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Perfilieva, Irina. "Fuzzy Relation Equations in Semilinear Spaces." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14055-6_57.

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Fernández, Manuel José, and Fermín Suárez. "Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets." In Studies in Systems, Decision and Control. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73848-2_55.

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Lobo, David, Víctor López-Marchante, and Jesús Medina. "Approximating Fuzzy Relation Equations Through Concept Lattices." In Formal Concept Analysis. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-35949-1_1.

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Conference papers on the topic "Fuzzy Relation Equations (FREs)"

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Jie, Liang, and Chen Li. "Self-Learning Control of Free-Floating Dual-Arm Space Robot Based on Fuzzy Adaptive Compensator." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86423.

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This paper discusses control problem of free-floating dual-arm space robot system with unknown payload parameters to track desired trajectory in inertial space, when the attitude of base is controlled and its location is uncontrolled. Combining the relationship of the linear momentum conversation and the Lagrange approach, the full-controlled dynamic equation and the Jacobian relation of free-floating dual-arm space robot are analysed and established. Based on the above results, for the case of free-floating dual-arm space robot system with unknown payload parameters, a composite control schem
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Zhou Wei and Bao Menghong. "Intuitionistic fuzzy relation equations." In 2010 International Conference on Educational and Information Technology (ICEIT). IEEE, 2010. http://dx.doi.org/10.1109/iceit.2010.5607565.

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NOVÁK, VILÉM, IRINA PERFILIEVA, and SIEGFRIED GOTTWALD. "FUZZY RELATION EQUATIONS VIA BASIC PREDICATE FUZZY LOGIC." In Proceedings of the 5th International FLINS Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777102_0011.

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Qin, Feng, and Ping Fang. "A new kind of fuzzy relation equations." In 2009 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2009. http://dx.doi.org/10.1109/fuzzy.2009.5277164.

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Zhang, Shiqiang. "Dynamic Fuzzy Controller Based on Stem Resolution of Fuzzy Relation Equations." In 2010 International Conference on Computational and Information Sciences (ICCIS). IEEE, 2010. http://dx.doi.org/10.1109/iccis.2010.275.

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Eugenia Cornejo, M., David Lobo, and Jesús Medina. "Bipolar Multi-Adjoint Relation Equations as Systems of Bipolar Multi-Adjoint Sup-Equations." In 2023 IEEE International Conference on Fuzzy Systems (FUZZ). IEEE, 2023. http://dx.doi.org/10.1109/fuzz52849.2023.10309817.

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Qu, Xiaobing, Feng Sun, Tianfei Wang, and Qingquan Xiong. "The structure of solution sets of fuzzy relation equations." In 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15). Atlantis Press, 2015. http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.7.

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Gottwald, S. "Fuzzy control and fuzzy relation equations. A unified view as interpolation problem." In IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04. IEEE, 2004. http://dx.doi.org/10.1109/nafips.2004.1336290.

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Cornejo, M. Eugenia, David Lobo, and Jesiis Medina. "Bipolar fuzzy relation equations based on the product T-norm." In 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2017. http://dx.doi.org/10.1109/fuzz-ieee.2017.8015691.

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QU, XIAOBING, MANHUA LEI, and XUEPING WANG. "SOLUTION SETS OF FUZZY RELATION EQUATIONS IN COMPLETE BROUWERIAN LATTICES." In Proceedings of the QL&SC 2012. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814401531_0039.

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