Abstract
Our aim in this paper is to introduce and study the new type of fuzzy ideals of a complemented semiring called generalized fuzzy imaginary right (resp.left) ideals and the direct products of them. The equivalence relation of them is given, besides, the fundamental properties of their intersection, union and level sets are discussed. Finally, we also investigated the properties of their homomorphic preimage.
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Acknowledgments
This work is supported by Program for Innovative Research Team of Jiangnan University (No:200902).
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Liao, Zh., Zhu, C., Luo, Xt., Hu, S., Liu, Wl. (2016). Generalized Fuzzy Imaginary Ideals of Complemented Semirings. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_10
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DOI: https://doi.org/10.1007/978-3-319-19105-8_10
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