Soft sets theory-based optimization

Journal of Computer and Systems Sciences International

Volumn 46, Issue 6, 2007, Pages 872-880

  Kovkov, D V ^a   Kolbanov, V M ^a   Molodtsov, D A ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; OPTIMIZATION; STABILITY;

LINEAR CONSTRAINTS; SOFT SETS;

SET THEORY;

EID: 37249091710     PISSN: 10642307     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064230707060032     Document Type: Article

References (15)

1. D. B. Yudin, Mathematical Methods for Control in Conditions of Incomplete Information (Sovetskoe Radio, Moscow, 1974) [in Russian].
2. Yu. M. Ermol'ev, Methods of Stochastic Programming (Nauka, Moscow, 1976) [in Russian].
3. I. I. Eremin, V. D. Mazurov, and N. N. Astaf'ev, Improper Problems of Linear and Convex Programming (Nauka, Moscow, 1983) [in Russian].
4. A. A. Vatolin, "Approximation of Improper Linear Programming Problems According to the Euclidean Norm Criterion," Zh. Vychisl. Mat. Mat. Fiz. 24(12), 1907-1908 (1984).
5. V. A. Gorelik, "Matrix Correction of a Linear Programming Problem with an Inconsistent System of Constraints," Zh. Vychisl. Mat. Mat. Fiz. 41(11), 1697-1705 (2004).
6. V. A. Gorelik, V. I. Erokhin, and V. V. Pechenkin, "Minimax Matrix Correction of Inconsistent Systems of Linear Algebraic Equations with Block Matrices of Coefficients," Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 52-62 (2006)
7. [Comp. Syst. Sci. 45 (5), 727-737 (2006)].
8. A. V. Yasenin and M. Wagenkecht, Possibilistic Optimization (Brandenburgische Technishe Universitat, Cottbus, 1996).
9. D. A. Molodtsov, "The Description of a Dependence with the Help of Soft Sets," Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 6, 137-144 (2001)
10. [Comp. Syst. Sci. 40 (6), 977-984 (2001)].
11. L. A. Zadeh, "Fuzzy Set," Information and Control 8, 338-353 (1965).
12. D. A. Molodtsov, V. Yu. Leonov, and D. V. Kovkov, "Soft Sets Technique and Its Application," Nechetkie Sistemy i Myagkie Vychisleniya 1(1), 8-39 (2006).
13. F. P. Vasil'ev and A. Yu. Ivanitskii, Linear Programming (Faktorial, Moscow, 1998) [in Russian].
14. S. A. Ashmanov, Linear Programming (Nauka, Moscow, 1981) [in Russian].
15. A. J. Hoffman, "On Approximate Solutions of Systems of Linear Inequalities," J. Res. Nat. Bureau Stand. 49(4) (1952).