Multi-objective Fuzzy Geometric Programming Problem Using Fuzzy Geometry

Trends in Mathematics and Computational IntelligenceStudies in Computational Intelligence(2018)

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摘要
This paper proposes a methodology to obtain fuzzy Pareto optimal frontier of multi-objective fuzzy geometric programming problem. The method that we derive here does not depend on the degree-of-difficulty of the problem under consideration. A study on the fuzzy convexity of the posynomials involved is also given here. Fuzzy geometric and algebraic approaches have been considered for the said optimization problem and is supported with a numerical example.
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关键词
Fuzzy convexity, Fuzzy monomial, Fuzzy posynomial, Geometric programming problem, Multi-criteria decision making, Fuzzy geometry
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