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Issue:Solving problems in intuitionistic fuzzy relational calculus with fuzzy relational calculus toolbox

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Title of paper: Solving problems in intuitionistic fuzzy relational calculus with fuzzy relational calculus toolbox
Author(s):
Ketty Peeva
Faculty of Applied Mathematics and Informatics, Technical University of Sofia, P. O. Box 384, Sofia 1000, Bulgaria
kgp@tu-sofia.bg
Yordan Kyosev
Department of Textile Engineering, Technical University of Sofia, 8 Blvr. Kl. Ohridski, Sofia 1797, Bulgaria
jkiossev@tu-sofia.bg
Presented at: 8th International Conference on Intuitionistic Fuzzy Sets, Varna, 20-21 June 2004
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 3, pages 37—43
Download:  PDF (135  Kb, File info)
Abstract: We develop library for fuzzy relational calculus over the fuzzy algebra ([0, 1], max, min) in MATLAB workspace. It includes various operations and compositions with fuzzy relations, solving direct and inverse problems, applications in artificial intelligence areas.

In this paper we present software for direct and inverse problem resolution in intuitionistic fuzzy relational calculus.

Keywords: Intuitionistic fuzzy relations, Software for inverse problem
References:
  1. Atanassov, K., Intuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg New York, (1999).
  2. De Baets, B., Analytical solution methods for fuzzy relational equations, pp. 291-340, in D. Dubois and H. Prade (eds.), Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series, Vol. 1, Kluwer Academic Publishers, 2000.
  3. Peeva, K., Methods and algorithms for solving fuzzy linear systems - Applications in Artificial Intelligence areas. Dr. Sci. Thesis, Technical University of Sofia (2002).
  4. Peeva, K. and Y. Kyosev, Software for direct and inverse problem resolution in intuitionistic fuzzy relational calculus Second International Workshop on IFS and Generalized Nets, Warsaw, 26-27 July 2002, 60-68, to appear.
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