Vector optimization problems with linear criteria over a fuzzy combinatorial set of alternatives

DOI10.1007/S10559-011-9307-5zbMath1298.90141OpenAlexW2151394378MaRDI QIDQ464881

A. M. Nagirna, L. N. Kolechkina, N. V. Semenova

Publication date: 30 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: http://dspace.puet.edu.ua/handle/123456789/3426

zbMATH Keywords

fuzzy setPareto optimal solutionsdiscrete optimizationmembership functionmulticriteria optimizationcombinatorial set of permutationsfuzzy multisetfuzzy set of alternatives

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Combinatorial optimization (90C27) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (9)

Shapley value of a cooperative game with fuzzy set of feasible coalitions ⋮ Maximizing alternatives in a decision-making problem with a goal type-2 fuzzy set ⋮ Non-dominated alternatives for a fuzzy set of experts ⋮ A mathematical programming problem with the fuzzy set of indices of constraints ⋮ Modified coordinate method to solve multicriteria optimization problems on combinatorial configurations ⋮ Unnamed Item ⋮ Sum of discrete fuzzy numbers with fuzzy set of summands ⋮ Minimum of fuzzy numbers with a fuzzy set of operands ⋮ Finding compromise and consensus in multicriteria problems

Cites Work

• An approach to solving discrete vector optimization problems over a combinatorial set of permutations
• Multiple criteria decision problems with fuzzy domination structures
• An intelligent system for the evolutionary synthesis of compound objects
• Fuzzy sets
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