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Issue:Resolution of composite intuitionistic fuzzy relational equations

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Title of paper: Resolution of composite intuitionistic fuzzy relational equations
Author(s):
Ketty Peeva
Faculty of Applied Mathematics, Technical University of Sofia, Sofia 1000, P.O.Box 384
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 1, pages 15—24
Download:  PDF (391  Kb, File info)
Abstract: We consider intuitionistic fuzzy relations and their compositions. Attention is paid on the resolution problem for various composite fuzzy relational equations. Analytic expression for the extreme solution is given. The relationship with matrices is studied.
Keywords: Intuitionistic fuzzy relations
References:
  1. K. Atanassov, Intuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg New York, 1999.
  2. P. Burillo and H. Bustince, Intuitionistic fuzzy relations, Part I, Mathware and Soft Computing 2 (1995) 5-38.
  3. G. Gratzer, General Lattice Theory, Akademik Verlag, Berlin, 1978.
  4. M. Higashi and G. J. Klir, Resolution of finite fuzzy relation equations, Fuzzy Sets and Systems, 13 (1984), 65 - 82.
  5. S. MacLane and G. Birkhoff,Algebra, Macmillan, New York, 1979.
  6. C. P. Pappis and M. Sugeno, Fuzzy relational equations and the inverse problem, Fuzzy Sets and Systems, 15 (1985), 79 - 90.
  7. E. Sanchez, Resolution of composite fuzzy relation equations, Information and Control 30 (1976) 38-48.
  8. S. Sessa, Finite fuzzy relation equations with unique solution in complete Brouwerian Lattices, Fuzzy Sets and Systems 29 (1989) 103 - 113.
  9. E. Szmidt, Application of Intuitionistic Fuzzy Sets in Decision Making, Dissertation (Or. of Se.), TU-Sofia, 2000.
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