Some new solution concepts in generalized fuzzy multiobjective optimization problems

Rouhbakhsh, Fatemeh Fayyaz; Hassanpour, Hassan; Effati, Sohrab

doi:10.1007/s00500-017-2787-0

Cited by 3 publications

(1 citation statement)

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“…In the case of fuzzy data, scalarization was considered in the multiobjective programming problems with fuzzy coefficients using the embedding theorem and the concept of convex cone [17], as well as in the ε-constraint method and weighted sum method in fuzzy multiobjective programming [18]. Kon [19] studied connections between set optimization problems and scalarization of fuzzy optimization problems.…”

Section: Introductionmentioning

confidence: 99%

Interactive Multiobjective Procedure for Mixed Problems and Its Application to Capacity Planning

Nowak

Trzaskalik

Sitarz³

2021

Entropy

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A problem that appears in many decision models is that of the simultaneous occurrence of deterministic, stochastic, and fuzzy values in the set of multidimensional evaluations. Such problems will be called mixed problems. They lead to the formulation of optimization problems in ordered structures and their scalarization. The aim of the paper is to present an interactive procedure with trade-offs for mixed problems, which helps the decision-maker to make a final decision. Its basic advantage consists of simplicity: after having obtained the solution proposed, the decision-maker should determine whether it is satisfactory and if not, how it should be improved by indicating the criteria whose values should be improved, the criteria whose values cannot be made worse, and the criteria whose values can be made worse. The procedure is applied in solving capacity planning treated as a mixed dynamic programming problem.

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Section: Introductionmentioning

confidence: 99%