Fast solving method of fuzzy relational equation and its application to lossy image compression/reconstruction

IEEE Transactions on Fuzzy Systems

Volumn 8, Issue 3, 2000, Pages 325-334

  Nobuhara, Hajime ^a,c   Pedrycz, Witold ^b,c   Hirota, Kaoru ^a,c  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b UNIVERSITY OF ALBERTA   (Canada)

^c IEEE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FAST SOLVING METHOD; FUZZY RELATIONAL EQUATIONS;

COMPUTATIONAL COMPLEXITY; COSINE TRANSFORMS; DATA STRUCTURES; IMAGE RECONSTRUCTION; VECTOR QUANTIZATION;

FUZZY SETS;

EID: 0034204784     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/91.855920     Document Type: Article

References (12)

1. A. DiNola, W. Pedrycz, and S. Sessa, "On measures of fuzziness of solutions of fuzzy relation equation with generalized connectives," J. Math. Anal. Applicat., vol. 106, pp. 443-453, 1985.
2. A. DiNola, "Relational equations in totally ordered lattices and their complete resolution," J. Math. Anal. Applicat., vol. 107, pp. 148-155, 1985.
3. A. DiNola and S. Sessa, "On the fuzziness of solutions of σ-fuzzy relation equations on finite space," Fuzzy Sets Syst., vol. 11, pp. 65-77, 1983.
4. K. Hirota and W. Pedrycz, "Fuzzy relational compression," IEEE Trans. Syst., Man, Cybern., pt. B, vol. 29, pp. 407-415, June 1999.
5. N. B. Karayiannis and P.-I. Pai, "Fuzzy vector quantization algorithms and their application in image compression," IEEE Trans. Image Processing, vol. 4, pp. 1193-1201, Sept. 1995.
6. M. Mizumoto, "Pictorial representations of fuzzy connectives, Part I: Cases of t-norms, t-conorms and averaging operators," Fuzzy Sets Syst., vol. 31, pp. 217-242, 1989.
7. M. Miyakoshi and M. Shimbo, "Solution of composite fuzzy relational equations with triangular norms," Fuzzy Sets Syst., vol. 16, pp. 53-63, 1985.
8. W. Pedrycz, "Fuzzy relational equations with generalized connectives and their applications," Fuzzy Sets Syst., vol. 10, pp. 185-201, 1983.
9. _, "On generalized fuzzy relational equations and their applications," J. Math. Anal. Applicat., vol. 107, pp. 510-536, 1985.
10. E. Sanchez, "Resolution of composite fuzzy relational equations," Inform. Contr., vol. 30, pp. 38-48, 1976.
11. G. K. Wallace, "The JPEG still picture compression standard," Commun. ACM, vol. 34, no. 4, pp. 30-44, 1991.
12. L. A. Zadeh, "Fuzzy sets," Inform. Contr., vol. 8, pp. 338-353, 1965.