605 research outputs found

    On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application

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    In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than the comonotone functions. As a by-product, we show that the Minkowski type inequality for seminormed fuzzy integral presented by Daraby and Ghadimi in General Minkowski type and related inequalities for seminormed fuzzy integrals, Sahand Communications in Mathematical Analysis 1 (2014) 9--20 is not true. Next, we study the Minkowski-H\"{o}lder inequality for the lower Sugeno integral and the class of μ\mu-subadditive functions introduced in On Chebyshev type inequalities for generalized Sugeno integrals, Fuzzy Sets and Systems 244 (2014) 51--62. The results are applied to derive new metrics on the space of measurable functions in the setting of nonadditive measure theory. We also give a partial answer to the open problem 2.22 posed by Borzov\'a-Moln\'arov\'a and et al in The smallest semicopula-based universal integrals I: Properties and characterizations, Fuzzy Sets and Systems 271 (2015) 1--17.Comment: 19 page

    The microbiotest battery as an important component in the assessment of snowmelt toxicity in urban watercourses—preliminary studies

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    The aim of the study was to use a battery of biotests composed of producers (Selenastrum capricornutum, Sorghum saccharatum, Lepidium sativum, and Sinapis alba), consumers (Thamnocephalus platyurus), and decomposers (Tetrahymena thermophila) to evaluate the toxicity of snowmelt and winter storm water samples. The toxicity of the samples collected in the winter period December to February (2010–2011), in one of the largest agglomerations in Poland, the city of Lodz, was compared to that of storm water samples taken under similar conditions in June. The most toxic snowmelt samples were found to be high acute hazard (class IV), while the remaining samples were rated as slight acute hazard (class II). L. sativum (in the Phytotox test) was the most sensitive test organism, giving 27 % of all toxic responses, followed by S. capricornutum with 23 % of all responses. T. thermophila was the least sensitive, with only 2 % of all toxic responses. The greatest range of toxicity was demonstrated by samples from the single family house catchment: no acute hazard (class I) to high acute hazard (class IV

    (Re)Producing the Neoliberal Subject: Child-Rearing Advice Literature Following The Great Risk Shift

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    Following neoliberal restructuring in the 1980s, parenting advice literature experienced a significant growth in popularity. As the state largely transferred responsibility to individual citizens for economic survival, child-rearing discourse encouraged the cultivation of a subject who was best-suited for the contours of neoliberal life. This thesis explores the implications of this parenting rhetoric, as well as of the rise in popularity of parenting advice literature in neoliberal circumstances

    Global and Regional Approaches to the Protection and Preservation of the Marine Environment

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