Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Interval-valued intuitionistic fuzzy matrices

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/11/1/16-27
Title of paper: Interval-valued intuitionistic fuzzy matrices
Author(s):
Madhumangal Pal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, India
madhumangal@lycos.com
Susanta Khan
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, India
Published in: "Notes on IFS", Volume 11 (2005), Number 1, pages 16-27
Download:  PDF (173  Kb, Info)
Abstract: In this paper, the interval-valued intuitionistic fuzzy matrix (IVIFM) is introduced. The interval valued intuitionistic fuzzy determinant is also defined. Some fundamental operations are also presented. The need of IVIFM is explain by an example.
Keywords: Intuitionistic fuzzy matrix, Interval-valued intuitionistic fuzzy matrix.
References:
  1. K.Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, 1999.
  2. K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
  3. K.Atanassov, Operations over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64 (1994) 159-174.
  4. H.Hashimoto, Canonical form of a transitive matrix, Fuzzy Sets and Systems, 11 (1983) 157-162.
  5. R.Hemasinha, N.R.Pal and J.C.Bezdek, Iterates of fuzzy circulant matrices, Fuzzy Sets and Systems, 60 (1993) 199-206.
  6. S.K.Khan and M.Pal, Some operations on intuitionistic fuzzy matrices, Presented in International Conference on Analysis and Discrete Structures, 22-24 Dec., 2002, Indian Institute of Technology, Kharagpur, India.
  7. K.H.Kim and F.W.Roush, Generalised fuzzy matrices, Fuzzy Sets and Systems, 4 (1980) 293-315.
  8. W.Kolodziejczyk, Canonical form of a strongly transitive fuzzy matrix, Fuzzy Sets and Systems, 22(1987) 292-302.
  9. J.B.Kim, Determinant theory for fuzzy and boolean matrices, Congressus Numerantium, (1988) 273-276.
  10. M.Pal, Intuitionistic fuzzy determinant, V.U.J.Physical Sciences, 7 (2001) 87-93.
  11. M.Pal, S.K.Khan and A.K.Shaymal, Intuitionistic fuzzy matrices, Notes on Intuitionistic Fuzzy Sets, 8(2) (2002) 51-62.
  12. M.Z.Ragab and E.G.Emam, The determinant and adjoint of a square fuzzy matrix, Fuzzy Sets and Systems, 61 (1994) 297-307.
  13. M.G.Ragab and E.G.Emam, On the min-max composition of fuzzy matrices, Fuzzy Sets and Systems, 75 (1995) 83-92.
  14. M.G.Thomason, Convergence of powers of a fuzzy matrix, J.Math Anal. Appl., 57 (1977) 476-480.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.