The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 29-167
Full Name: Andre Keller
Position: Professor
Age: ON
Sex: Male
Address: 8 ruelle du garde 59218 Salesches
Country: FRANCE
Tel: 33+(0)327254467
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E-mail address: andre.keller@uha.fr
Other E-mails: andre-keller@orange.fr
Title of the Paper: fuzzy multiobjective optimization modeling with mathematica
Authors as they appear in the Paper: Andre A. Keller
Email addresses of all the authors: andre.keller@uha.fr;andre-keller@orange.fr
Number of paper pages: 11
Abstract: In the real situations, decision makers are often faced to a plurality of objectives and constraints in a world of imprecise data about the preferences of agents, the local constraints and the global environment. In a fuzzy environment, fuzzy linear programming (FLP) and fuzzy goal programming (FGP) problems incorporate fuzzy objective functions and constraints, fuzzy parameter and variable sets. Mathematical operators are used to aggregate the fuzzy objective functions and constraints. The optimal solution corresponds to the maximum degree of the membership function in the decision set. The resolution of the multi-objective FLP consists in reducing the vector optimization of objective functions to a single objective. Weighted goal programming problems consider the relative importance of objectives. This contribution surveys essential techniques with numerical applications to simple economic problems. The computations are carried out using the software Mathematica!
7.0.1 and the subpackage Fuzzy~Logic 2, from which selected primitives are proposed.
Keywords: Fuzzy linear programming problem; Membership function; Decision set; Multiobjective optimization
EXTENSION of the file: .pdf
Special (Invited) Session: fuzzy multi-objective optimization modeling with Mathematica
Organizer of the Session: 699-215
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