Abstract
We discuss and study several kinds of capacity transformations based on a given event B and a fixed implication function I. In particular, local, global and total invariantness of these transformations are examined and described.
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Acknowledgements
The authors thank the associate editor and the anonymous referees for their careful and thorough revision of the paper along with the constructive comments. The first author acknowledges the support of SAIA, Slovakia and hospitality at the Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology during his visit there for 2 months. The fourth author is thankful to her postdoc supervisor for his useful scientific advices. This work was funded by the Grant APVV-14-0013 and VEGA 1/0420/15, the National Natural Science Foundation of China (Grant Nos. 11371332 and 11571106), Iran National Science Foundation: INSF and SAIA, Slovakia.
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Communicated by A. Di Nola.
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Borkotokey, S., Mesiar, R., Li, J. et al. Event-based transformations of capacities and invariantness. Soft Comput 22, 6291–6297 (2018). https://doi.org/10.1007/s00500-017-2970-3
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DOI: https://doi.org/10.1007/s00500-017-2970-3