Anti-optimization technique - A generalization of interval analysis for nonprobabilistic treatment of uncertainty

Chaos, Solitons and Fractals

Volumn 12, Issue 9, 2001, Pages 1747-1759

  Qiu, Zhiping ^a   Elishakoff, Isaac ^b  

^a BEIHANG UNIVERSITY   (China)

^b Florida Atlantic University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

ANTIOPTIMIZATION TECHNIQUE; INTERVAL ANALYSIS;

PROBABILITY;

EID: 0035400835     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00102-8     Document Type: Article

References (15)

1. On the calculus of closed set-valued functions
2. Probabilistic and convex models of uncertainty in structural dynamics
3. Probabilistic and convex models of uncertainty in buckling of structures
4. Stress concentration at a nearly circular hole with uncertain irregularities
5. Structural design under bounded uncertainty optimization with antioptimization
6. Application of the mathematical theory of interval analysis for uncertain vibrations
7. The Rayleigh quotient method for computing eigenvalue bounds of vibrational systems with interval parameters
8. Natural frequencies of structures with uncertain but nonrandom parameters
9. Interval algebra to deal with pattern loading and structural uncertainties