Abstract
After we present some basic definitions and results on non-commutative residuated lattice and several kinds of filters of it, we extend the concept of fuzzy filter to non-commutative residuated lattice. We introduce and investigate the properties of fuzzy weak Boolean filters of residuated lattice and further characterize the fuzzy weak Boolean filters.
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Acknowledgments
This work is partially supported by China Postdoctoral Science Foundation funded project (Grant No.2013M540716); the National Natural Science Foundation of China (Grant No. 60875034, 61175055); the project TIN-2009-0828; Sichuan Key Technology Research and Development Program of China (Grant No. 2011FZ0051); Wireless Administration of Ministry of Industry and Information Technology of China ([2011]146); the Natural Science foundation of Shaanxi Province (Grant No. 2012JQ1023); and doctor initial fund of **’an Shiyou University of China (Grant No. 2011BS017)
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Wang, W., Xu, Y., Tong, D., Cheng, Xy., Li, Yf. (2014). Some Results on Fuzzy Weak Boolean Filters of Non-commutative Residuated Lattice. In: Patnaik, S., Li, X. (eds) Proceedings of International Conference on Soft Computing Techniques and Engineering Application. Advances in Intelligent Systems and Computing, vol 250. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1695-7_12
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DOI: https://doi.org/10.1007/978-81-322-1695-7_12
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