Study on algorithm of grey numbers and grey algebraic system

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn 3, Issue , 2006, Pages 2272-2276

  Liu, Si Feng ^a   Fang, Zhi Geng ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; SYSTEM THEORY;

ALGEBRAIC SYSTEMS; GREY SYSTEM THEORY;

ALGORITHMS;

EID: 34548139431     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSMC.2006.385200     Document Type: Conference Paper

References (10)

1. Sifeng Liu,"P-F theorem of grey non-minus matrix," Journal of Henan Agricultural University, Vol.21, No.4, 1987.
2. Young R C. "The algebra of many-valued quantities," Annals of Mathematics, Vol.31, pp. 260-290, 1931.
3. Moore R E., Method and application of interval analysis. London Prentice Hall, 1979.
4. Ishihuchi H, Tanaka M, "Mulitiobjetive programming in optimization of the interval objective function," European Journal of Operation Research,Vol.48, pp. 219-225, 1990.
5. Zhigeng Fang, Sifeng Liu, "Study on GM(1, 1) model (GMBIGN(1, 1)) based on interval grey numbers," Engineering Science, Vol.7, No.2, pp. 57-61, 2005.
6. Jiang Wu, Deng-shi Huang, "An Review on Ranking Methods of Interval Numbers," Systems Engineering, Vol. 22, pp. 1-3, 2004.
7. Hai-ying Guo, Yan-jun Pang, "interval grey number; order relation; kenning model; kenning degree," Journal of Hebei Institute of Architectural Science and Technology, Vol.20, No.1, pp. 85-86, 2003.
8. Sifeng Liu, Lin Yi, "On Definition of Degree of Greyness of Grey Number and Its properties," Engineering Science, Vol.6, No.8, pp. 91-94, 2004.
9. Sifeng Liu, Yaoguo Dang, Zhigeng Fang, Grey system theorem and its applications (the third edition), Beijing, China: Science Publishing Company, November, 2004.
10. Sifeng Liu, Yi Lin. An Axiomatic Definition for the Degree of Greyness of Grey Numbers. IEEE SMC 2004 Conference Proceedings: 2004 IEEE International Conference on Systems, Man & Cybernetics,2004,pp. 2420-2424