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Abstract
We propose the concept of fuzzy soft hypergroups and explore two particular classes of them, namely fuzzy soft closed hypergroups and fuzzy soft ultraclosed hypergroups. Moreover, we study the image and inverse image of a fuzzy soft (closed, ultraclosed) hypergroup under a fuzzy soft map.
Acknowledgements
The authors gratefully acknowledge the comments of the referee which led to the improvement of this paper. This work was supported by the National Natural Science Foundation of China (Nos. 60875034 and 10571112), the Natural Science Foundation of Hubei Province of China (No. 2009CDB340), the Natural Science Foundation of Educational Committee of Hubei Province of China (No. D20092901), and the Natural Science Foundation of Educational Committee of Shaanxi Province of China (No. 2010JK831).