Abstract
This study presents new Gauss’s inequalities for interval and fuzzy-interval-valued functions using the Aumann’s and Kaleva’s improper integrals. The inequality for interval-valued functions is based on the Kulisch–Miranker order relation. The order relation given in the fuzzy-interval space is defined level-wise through the Kulisch–Miranker order, and by means of this the inequality for fuzzy-interval-valued functions is interpreted.
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Acknowledgements
The first author has been supported by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES/UFPA) Finance Code 001. The second author has been supported by the Center for Mathematicas Sciences Applied in Industry—CeMEAI-CEPID through Sao Paulo Research Foundation - FAPESP Grant number 13/07375-0. The third and fourth authors have been supported by Conicyt-Chile via Projects Fondecyt 1151154 and Fondecyt 1151159, respectively.
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Communicated by Rosana Sueli da Motta Jafelice.
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Costa, T.M., Silva, G.N., Chalco-Cano, Y. et al. Gauss-type integral inequalities for interval and fuzzy-interval-valued functions. Comp. Appl. Math. 38, 58 (2019). https://doi.org/10.1007/s40314-019-0836-2
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DOI: https://doi.org/10.1007/s40314-019-0836-2