Abstract
The notions of interval-valued multi-fuzzy soft set and possibility interval-valued multi-fuzzy soft set are proposed in this paper. Several interesting algebraic properties of them are then investigated. In particular, both interval-valued multi-fuzzy soft set and possibility interval-valued multi-fuzzy soft set with union and intersection operators turn out to be distributive lattices. Finally, possibility interval-valued multi-fuzzy soft sets are applied to decision making and an illustrated example is given.
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Acknowledgments
This work is supported by National Natural Science Foundation of China (Grant No. 11401495) and Students’ Extracurricular Open Experiment Project of Southwest Petroleum University (Grant No. KSZ15149).
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Li, DX., Jin, JH., Ran, W. (2017). Possibility Interval-Valued Multi-fuzzy Soft Sets and Theirs Applications. In: Fan, TH., Chen, SL., Wang, SM., Li, YM. (eds) Quantitative Logic and Soft Computing 2016. Advances in Intelligent Systems and Computing, vol 510. Springer, Cham. https://doi.org/10.1007/978-3-319-46206-6_49
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DOI: https://doi.org/10.1007/978-3-319-46206-6_49
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