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In a scenario of uncertainty and imprecision, before taking the replacement analysis, a manager needs to consider the uncertain reality of a problem. In this scenario, the fuzzy logic makes an excellent option. Therefore, it is necessary to make a decision based on the fuzzy model. This study is based on the comparison of two methodologies used in the problem of asset replacement. The study, thus, was based on a comparison between two extruders for polypropylene yarn bibliopegy, comparing mainly the costs involved in maintaining the equipment.

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The paper aims at showing how a textile industry can select from a mix of products, the best products to be produced by using the customer's point of view. The Fuzzy Algorithm for fashion industry is a tool developed to optimize the production and reduce losses and storage costs in the textile industry environment. As the textile industry has an

This article after introducing fuzzy dual numbers, functions and functionals establishes necessary conditions for the optimization of fuzzy dual functionals before considering fuzzy dual optimal control problems. In a first step an extension of Euler's necessary condition for the extremum of a fuzzy dual functional is established and then necessary conditions for fuzzy dual optimal control are developed.