Description: This package is created with the highly appreciated theoretical help and under the supervision of Prof. DSc. Ketty Peeva.
Theoretical results and methods can be found in: 1. B. De Baets, Analytical solution methods for fuzzy relational equations, in the series: Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series, D. Dubois and H. Prade (eds.), Vol. 1, Kluwer Academic Publishers, pp. 291340 (2000). 2. Di Nola, A., Lettieri, A.: Relation Equations in Residuated Lattices. Rendiconti del Circolo Matematico di Palermo, s. II, XXXVIII, pp.246256 (1989). 3. A. Di Nola, S. Sessa, W. Pedrycz, E. Sanchez, Fuzzy Relation Equations and Their Applications to Knowledge Engineering, Kluwer Academic Press, Boston, 1989. 4. G. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall PTR, NJ, 1995. 5. G. Klir, U. H. St. Clair, B. Yuan, Fuzzy Set Theory Foundations and Applications, Prentice Hall PRT, 1997. 6. K. Peeva, Finite LFuzzy Machines, Fuzzy Sets and Systems, Vol 141, No 3, 2004, pp. 415437. 7. K. Peeva, Universal algorithm for solving fuzzy relational equations, Italian Journal of Pure and Applied Mathematics 19, 2006, pp. 920. 8. K. Peeva, Y. Kyosev, Fuzzy Relational CalculusTheory, Applications and Software (with CDROM), In the series Advances in Fuzzy Systems  Applications and Theory, Vol. 22, World Scientific Publishing Company, 2004. 9. K. Peeva, Y. Kyosev, Algorithm for Solving Maxproduct Fuzzy Relational Equations, Soft Computing 11(7), 2007, pp. 593605. 10. K. Peeva, Zl. Zahariev, Software for Testing Linear Dependence in Fuzzy Algebra, Second International Scientific Conference Computer Science, Chalkidiki, 30 Sept 2 Oct 2005, ISBN 954 438 526 6, part I, pp 294299, 2005. 11. K. Peeva, Zl. Zahariev, Linear dependence in fuzzy algebra, Proceedings of 31th International Conference AMd OCoE, Sozopol June 2005 Softrade, Sofia 2006, ISBN 10: 9543340323, pp. 7183. 12. K. Peeva, Zl, Zahariev, Iv. Atanasov, Optimization of Linear Objective Function Under Maxproduct Fuzzy Relational Constraint, Proceedings of the 9th WSEAS International Conference on FUZZY SYSTEMS (FSddeOao08) ddeOCt Advanced Topics on Fuzzy Systems, Book Series: Artificial Intelligence Series WSEAS, Sofia, Bulgaria, May 24, 2008, ISBN: 9789606766565, ISSN: 17905109, 132137. 13. K. Peeva, Zl. Zahariev, Computing behavior of finite fuzzy machines ddeOCt Algorithm and its application to reduction and minimization, Information Sciences, Vol. 178 (2008) issue 21, 41524165. 14. K. Peeva, D. Petrov, Optimization of linear objective function under fuzzy equation constraint in BLalgebras ddeOCt theory, algorithm and software, Springer Series "Studies in Computational Intelligence" V. Sgurev, M. Hadjiski. (eds), A post conference IEEE IS'08 volume in SCISpringer Verlag. Topic: Intelligent Systems  from Theory to Practice, Scope: Advanced Intelligent Systems ISSN: 1860949X, http://www.springer.com/series/7092 (in press). 15. K. Peeva, Zl. Zahariev, I. Atanasov, Software for optimization of linear objective function with fuzzy relational constraint, Fourth International IEEE Conference on Intelligent Systems, Sept. 2008, Varna, Vol. 3 (2008), pp. 1814ddeOCt1819, ISBN 978I42441739. 16. I. Perfilieva, L. Noskova, System of fuzzy relation equations with inf? composition: complete sets of solutions, Fuzzy Sets and Systems 150, 17, 22562271. 17. E. Sanchez, Resolution of composite fuzzy relation equations, Information and Control, 30 (1976) 3848. 18. Z. Zahariev, Software Packages to Deal with Fuzzy Systems, in Proceedings of 33rd International Conference Application of Mathematics in Engineering and EconomicsddeOao33, M. Todorov (ed.) American Institute of Physics, 978073540460, 2007, 217278. 19. Z. Zahariev, Solving Maxmin Relational Equations. Software and Applications, in International conference on Applications of Mathematics in Engineering and Economics, June 2008, Sozopol, Bulgaria, December 2008, pp 516523. 20. Z. Zahariev, Software package and API in MATLAB for working with fuzzy algebras, In International Conference "Applications of Mathematics in Engineering and Economics (AMEE'09)", AIP Conference Proceedings, vol. 1184, G. Venkov, R. Kovatcheva, V. Pasheva (eds.) American Institute of Physics, ISBN 9780735407509, 2009, 434350.
Supported operations:
I. Fuzzy matrices compositions: MaxMin MinMax MaxProduct MaxEpsilon MinGodel MinGoguen MinLukasiewicz
II. Linear combinations, checking linear independence.
III. Direct and inverse problems resolution for fuzzy linear systems of equations and inequalities with the following compositions: MaxMin MinMax MaxProduct MinGodel MinGoguen MinLukasiewicz
IV. Solving fuzzy optimization problems.
V. Fuzzy machines  find, minimize and reduce behavior and full behavior matrices.
License: Freeware Related: Conference, hadjiski, is03908, Volume, verlag, scispringer, sgurev, intelligencequot, Software, theory, springer, quotstudies, computational, topic, intelligent, varna, 978i4244173916, perfilieva, noskova O/S:BSD, Linux, Solaris, Mac OS X File Size: 20.5 KB Downloads: 8

