Regular fuzzy matrices and fuzzy equations 1

Fuzzy Sets and Systems

Volumn 105, Issue 3, 1999, Pages 445-451

  Cho, Han Hyuk ^a  

^a Seoul National University   (South Korea)

Author keywords

Fuzzy equation; Fuzzy matrix; Fuzzy rank; Regular matrix

Indexed keywords

EID: 0000133529     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00232-7     Document Type: Article

References (12)

1. [1] K. Cechlárová, Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra, Fuzzy Sets and Systems 75 (1995) 165-177.
2. [2] H.H. Cho, Fuzzy matrices of permanent one, Fuzzy Sets and Systems 56 (1993) 291-296.
3. [3] H.H. Cho, Regular matrices in the semigroup of Hall matrices, Linear Algebra Appl. 191 (1993) 151-163.
4. [4] S.Z. Guo, P. Wang, A. Di Nola, S. Sessa, Further contribution to the study of finite fuzzy relational equations, Fuzzy Sets and Systems 26 (1988) 93-104.
5. [5] J.B. Kim, Ranks of Boolean matrices, Fuzzy Sets and Systems 59 (1993) 121-123.
6. [6] K.H. Kim, F.W. Roush, Generalized fuzzy matrices, Fuzzy Sets and Systems 4 (1980) 293-315.
7. [7] J.X. Li, The smallest solution of max-min fuzzy equations, Fuzzy Sets and Systems 41 (1990) 317-327.
8. [8] M. Miyakoshi, M. Shimbo, Sets of solution-set equivalent coefficient matrices of fuzzy relation equations, Fuzzy Sets and Systems 35 (1990) 357-387.
9. [9] A. Di Nola, W. Pedrycz, S. Sessa, E. Sanchez, Fuzzy relation equations as a basis of fuzzy modelling: an overview, Fuzzy Sets and Systems 40 (1991) 415-429.
10. [10] M.Z. Ragab, E.G. Emam, The determinant and adjoint of a square fuzzy matrix, Fuzzy Sets and Systems 61 (1994) 297-307.
11. 01-lattice matrices, Fuzzy Sets and Systems 62 (1994) 347-353.
12. [12] C.K. Zhao, Inverse of L-fuzzy matrices, Fuzzy Sets and Systems 34 (1990) 103-116.