Solving nonlinear multi-objective optimization problems with fuzzy relation inequality constraints regarding Archimedean triangular norm compositions
From MaRDI portal
Publication:1927269
DOI10.1007/s10700-012-9129-6zbMath1254.90209OpenAlexW2131086374MaRDI QIDQ1927269
Publication date: 31 December 2012
Published in: Fuzzy Optimization and Decision Making (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10700-012-9129-6
multi-objective optimizationgenetic algorithmsefficient solutionsArchimedean \(t\)-normfuzzy relation inequality
Multi-objective and goal programming (90C29) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Fuzzy real analysis (26E50)
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Cites Work
- Unnamed Item
- Minimizing a linear objective function with fuzzy relation equation constraints
- A note on fuzzy relation programming problems with max-strict-\(t\)-norm composition
- A survey on fuzzy relational equations. I: Classification and solvability
- Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-Archimedean t-norm composition
- Test examples for nonlinear programming codes
- Linear multiobjective programming
- Solving fuzzy relation equations with a linear objective function
- Fuzzy relation equations. I: The general and specialized solving algorithms
- Triangular norms. Position paper I: Basic analytical and algebraic properties.
- Triangular norms
- Multi-objective optimization problems with fuzzy relation equation constraints
- Minimizing a linear function under a fuzzy max-min relational equation constraint
- Triangular norms. Position paper II: General constructions and parameterized families
- Triangular norms. Position paper III: Continuous t-norms
- Minimizing a linear objective function under a max-t-norm fuzzy relational equation constraint
- On the relation between equations with max-product composition and the covering problem
- Multi-objective optimization problems with fuzzy relation equation constraints regarding Max-average composition
- An algorithm for optimizing the linear function with fuzzy relation equation constraints regarding max-prod composition
- Resolution of composite fuzzy relation equations
- Unified Interactive Multiple Objective Programming: An Open Architecture For Accommodating New Procedures
- A multi‐objective mathematical programming problem with fuzzy relation constraints
- Multicriteria Optimization
- Fuzzy sets
- Linear programming with multiple objective functions: Step method (stem)
- Optimization of fuzzy relation equations with max-product composition.
