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International Journal of Computer Mathematics Volume 89, 2012 - Issue 8
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Section A

Fuzzy soft hypergroups

Violeta Leoreanu-Fotea Faculty of Mathematics, “Al.I. Cuza” University, Bulevardul Carol I, n.11, Iaşi, RomaniaCorrespondence[email protected]
,
Feng Feng Department of Applied Mathematics, School of Science, Xi'an University of Posts and Telecommunications, Xi'an, 710061, China
&
Jianming Zhan Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, China
Pages 963-974 | Received 08 Oct 2011, Accepted 05 Mar 2012, Published online: 30 Apr 2012
 
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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.

2000 AMS Subject Classification::

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).

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