A mathematical programming problem with the fuzzy set of indices of constraints

A mathematical programming problem with the fuzzy set of indices of constraints

The author proposes a method to solve a mathematical programming problem with a fuzzy set of the indices of constraints. A mapping of the membership of a fuzzy set of type 2 is constructed, which is the set of its feasible alternatives. The properties of this set are analyzed and problems of the cho...

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Veröffentlicht in:Cybernetics and systems analysis 2013, Vol.49 (1), p.62-68
1. Verfasser: Mashchenko, S. O.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Control
Cybernetics
Decision making
Decisions
Feasibility
Fuzzy sets
Mapping
Mathematical analysis
Mathematical programming
Mathematics
Mathematics and Statistics
Pareto optimum
Processor Architectures
Software Engineering/Programming and Operating Systems
Studies
Systems analysis
Systems Theory
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Beschreibung
Zusammenfassung:The author proposes a method to solve a mathematical programming problem with a fuzzy set of the indices of constraints. A mapping of the membership of a fuzzy set of type 2 is constructed, which is the set of its feasible alternatives. The properties of this set are analyzed and problems of the choice of rational decisions are considered.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-013-9485-4