Operations on interval matrices

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4585 LNAI, Issue , 2007, Pages 613-621

  Pȩkala, Barbara ^a  

^a UNIVERSITY OF RZESZÓW   (Poland)

Author keywords

Interval; Interval matrices; Lattice

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY ELEMENT METHOD; CONVERGENCE OF NUMERICAL METHODS; FUZZY SETS; PROBLEM SOLVING;

ALGEBRAIC PROPERTIES; INTERVAL MATRICES; INTERVAL-VALUED FUZZY SETS; SEMIGROUP PROPERTIES;

MATRIX ALGEBRA;

EID: 38049091176     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73451-2_64     Document Type: Conference Paper

References (18)

1. Atanassov, K.T.: Intuitionistic fuzzy sets, Theory and applications. Springer, Heidelberg (1999)
2. Białas, S.: Matrices Selected problems (Polish) AGH, Krakow (2006)
3. Birkhoff, G.: Lattice theory, vol. 25. AMS Coll. Publ., Providence (1967)
4. Drewniak, J., Pȩkala, B.: Multiple max-min products of square matrices. In: Atanassov, K.T. et al. (eds.) Soft Computing. Foundations and Theoretical Aspects, EXIT, Warszawa, pp. 171-180 (2004)
5. Give'on, Y.: Lattice matrices. Inform. Control 7, 477-484 (1964)
6. Gorzałczany, M.B.: A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst. 21, 1-17 (1987)
7. Guu, S.M., Chen, H.H., Pang, C.T.: Convergence of products of fuzzy matrices. Fuzzy Sets Syst. 121, 203-207 (2001)
8. Kahl, P., Kreinovich, V., Lakeyev, A., Rohn, J.: Computational complexity and feasibility of data processing and interval computations. Kluwer Academic Publishers, Dordrecht (1998)
9. Mayer, G.: On the convergence of powers of interval matrices. Linear Algebra Appl. 58, 201-216 (1984)
10. Mayer, G., Arndt, H.-R.: On the semi-convergence of interval matrices. Linear Algebra Appl. 393, 15-37 (2004)
11. Mayer, G., Arndt, H.-R.: New criteria for the semiconvergence of interval matrices. SIAM J. Matrix Anal. Appl. 27(3), 689-711 (2005)
12. Moore, R.E.: Interval analysis. Prentice Hall, Englewood Cliffs (1966)
13. Moore, R.E.: Methods and applications of interval analysis. SIAM, Philadelphia (1979)
14. Negoiţǎ, C.V., Ralescu, D.A.: Applications of fuzzy sets to systems analysis. Birkhäuser Verlag, Basel (1975)
15. Niewiadomski, A.: Interval-valued linguistic variables. An application to linguistic summaries. In: Hryniewicz, O. et al. (eds.) Issues in Intelligent Systems. Paradigms, EXIT, Warszawa, pp. 167-183 (2005)
16. Thomason, M.G.: Convergence of powers of a fuzzy matrix. J. Math. Anal. Appl. 57, 476-480 (1977)
17. Turksen, I.B.: Interval-valued fuzzy sets based on normal forms. Fuzzy Sets Syst. 20, 191-210 (1986)
18. Young, R.C.: The algebra of many-valued quantities. Math. Ann. 104, 260-290 (1931)