Duality theory in fuzzy optimization problems
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Publication:1771139
DOI10.1007/s10700-004-4203-3zbMath1059.90155OpenAlexW2008436790MaRDI QIDQ1771139
Publication date: 7 April 2005
Published in: Fuzzy Optimization and Decision Making (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10700-004-4203-3
Fuzzy numbersFuzzy scalar (inner) productFuzzy-valued Lagrangian dual functionFuzzy-valued Lagrangian functionconvex fuzzy valued functions
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Cites Work
- A dual approach to solve the fuzzy linear programming problem
- Applications of fuzzy set theory to mathematical programming
- Fuzzy programming and linear programming with several objective functions
- Duality theorems in fuzzy mathematical programming problems based on the concept of necessity.
- Generalized concavity in fuzzy optimization and decision analysis
- On duality in linear programming under fuzzy environment
- Satisficing solutions and duality in interval and fuzzy linear programming
- Duality of fuzzy \(MC^ 2\) linear programming: A constructive approach
- A fuzzy dual decomposition method for large-scale multiobjective nonlinear programming problems
- Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem
- DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS
- Composition and union of general algorithms of optimization
- Fuzzy sets
- Decision-Making in a Fuzzy Environment
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