| Title of paper:
|
Intuitionistic fuzzy matrices
|
| Author(s):
|
| Madhumangal Pal
|
| Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore — 721102, India
|
|
|
| Susanta Khan
|
| Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore — 721102, India
|
|
|
| Amiya K. Shaymal
|
| Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore — 721102, India
|
|
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 8 (2002), Number 2, pages 51-62
|
| Download:
|
 PDF (7409 Kb, File info)
|
| Abstract:
|
In this paper, the intuitionistic fuzzy matrices (IFMs) is introduced. Various properties of IFM are presented here. Also, some properties on intuitionistic fuzzy determinant, adjoint are presented.
|
| Keywords:
|
Intuitionistic fuzzy sets, intuitionistic fuzzy matrix, intuitionistic fuzzy determinant.
|
| References:
|
- K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
- K.Atanassov, Operations over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64 (1994) 159-174.
- K.Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag (Heidelberg, New York) 1999.
- J.C.Dunn, A graph theoretic analysis of pattern classification via Tamura’s fuzzy relation, IEEE Trans. Syst. Man Cybern, SMC 4(3) (1974) 310-313.
- W.L.Gau and D.J. Buehrer, Vague sets, IEEE Trans. System Man Cybernet, 23 (2) (1993) 610-614.
- M.B.Gorzalzany, A method of inference in approximation reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21 (1987) 1-17.
- H.Hasimoto, Canonical form of a transitive fuzzy matrix, Fuzzy Sets and Systems, 11 (1983) 157-162.
- R.Hemasinha, N.R.Pal and J.C.Bezdek, Iterates of fuzzy circulant matrices, Fuzzy Sets and Systems, 60 (1993) 199-206.
- A.Kandel and L.Yelouwitz, Fuzzy chains, IEEE Trans. Syst. Man Cybern, SMC 4(5) (1974) 472-475.
- K.H.Kim and F.W.Roush, Generalized fuzzy matrices, Fuzzy Sets and Systems, 4 (1980) 293-315.
- W.Kolodziejczyk, Canonical form of a strongly transitive fuzzy matrix, Fuzzy Sets and Systems, 22 (1987) 292-302.
- J.B.Kim, Determinant theory for fuzzy and Boolean matrices, Congressus Numerantium, (1988) 273-276, Utilitas Mathematica Pub.
- J.B.Kim, A.Baartmans and S.Sahadin, Determinant theory for fuzzy matrices, Fuzzy Sets and Systems, 29 (1989) 349-356.
- H.L.Larsen and R.R.Yager, Efficient computation of transitive closures, Fuzzy Sets and Systems, 38 (1990) 81-90.
- M.Pal, Intuitionistic fuzzy determinant, V.U.J. Physical Sciences, 7 (2001) 87-93.
- Z.Pawlak, Rough Sets, International J. Information and Computer Sciences, 11 (1982) 341-356.
- H.Prade and D.Dubois, Fuzzy Sets and Systems Theory and Applications, Academic Press (London) 1980.
- M.Z.Ragab and E.G.Emam, The determinant and adjoint of a square fuzzy matrix, Fuzzy sets and systems, 61 (1994) 297-307.
- M.Z.Ragab and E.G.Emam, On the min-max composition of fuzzy matrices, Fuzzy Sets and Systems, 75 (1995) 83-92.
- S.Tamura, S.Higuchi and K.Tanaka, Pattern classification based on fuzzy relations, [EEE Trans. Syst. Man Cybern., SMC 1(1) (1971) 61-66.
- M.G.Thomason, Convergence of powers of a fuzzy matrix, J. Math. Anal. Appl., 57 (1977) 476-480.
- L.J.-Xin, Controllable fuzzy matrices, Fuzzy Sets and Systems, 45 (1992) 313-319.
- L.J.-Xin, Convergence of powers of controllable fuzzy matrices, Fuzzy Sets and Systems, 62 (1994) 83-88.
- L.A.Zadeh, Fuzzy Sets, Information and Control, 8 (1965) 338-353.
- H.-J.Zimmerman, Fuzzy Set Theory and its Applications, Kluwer Academic Publishers (Boston) 1996.
|
| 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.
|
|
