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    Estimating the xenobiotics mixtures toxicity on aquatic organisms: the use of alpha-level of the fuzzy number.

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    Abstract: Agricultural practices that use various xenobiotics can contaminate surface water and groundwater with xenobiotics mixtures concentrations which cause serious risks to water quality and to the health of aquatic organisms that inhabit them. Xenobiotics in water when present as mixtures can exacerbate or reduce the toxic effects in aquatic organisms, when compared to the toxic effects of each individual component concentrations of the xenobiotics mixture. The objective of this study is to develop a mathematical method using ?-level of the fuzzy numbers with less accounts and simpler calculations to sort ecotoxicological effects in aquatic organisms of xenobiotics mixtures concentrations occurring in water, classifying them into antagonistic, additive or synergistic and also establishing the magnitude of the effects of concentrations of mixtures. The proposed method in this paper using fuzzy numbers can be suggested in protocols established by regulatory agencies to classify ecotoxicological effects of xenobiotics mixtures in water

    Interval and Fuzzy Analysis: A Unified Approach

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    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Flexible Optimization

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