Abstract
The concepts of the cascade products and the wreath products of lattice-valued intuitionistic fuzzy finite state machines, homomorphisms and weak coverings are given. At the same time, the covering relations of two homomorphisms lattice-valued intuitionistic fuzzy finite state machines are studied. The covering relations among the full direct products, cascade products, wreath products are disscussed. Some transitive properties of covering relations are obtained in the product machines.Therefore,it is an important step to study lattice-valued intuitionistic fuzzy finite state machines.
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Acknowledgments
The authors are very grateful to the anonymous referee for his/her careful review and constructive suggestions. This work is supported by the National Natural Science Foundation of China (Grant No.11071178), the Research Foundation of the Education Department of Sichuan Province (Grant No. 12ZB106) and the Research Foundation of Sichuan Normal University (Grant No. 10MSL06).
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Yang, L., Mo, Zw. (2014). Cascade and Wreath Products of Lattice-Valued Intuitionistic Fuzzy Finite State Machines and Coverings. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_11
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DOI: https://doi.org/10.1007/978-3-642-38667-1_11
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