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Another approach to rough soft hemirings and corresponding decision making

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Abstract

Combining rough sets and soft sets, a kind of novel rough soft hemirings with respect to a strong h-ideal of hemirings in Pawlak approximation spaces is introduced. The relationships between lower and upper rough soft hemirings are studied. In particular, lower and upper rough soft strong h-ideals with respect to strong h-ideals are investigated, respectively. Some good examples are given. Finally, we put forward two new kinds of decision-making methods in rough soft sets, and some related algebraic and applied examples are also given.

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Acknowledgments

The authors are very grateful to referees for their valuable comments and suggestions for improving this paper. This research is partially supported by a Grant of National Natural Science Foundation of China (11561023; 11461025).

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Correspondence to Jianming Zhan.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by V. Loia.

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Zhan, J., Liu, Q. & Zhu, W. Another approach to rough soft hemirings and corresponding decision making. Soft Comput 21, 3769–3780 (2017). https://doi.org/10.1007/s00500-016-2058-5

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  • DOI: https://doi.org/10.1007/s00500-016-2058-5

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