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Abstract
Two types of fuzzy implicative semigroups are discovered and characterized. Results of fuzzy order filters and fuzzy implicative order filters in crisp implicative semigroups are extended and amplified to filters consisting of fuzzy points. Examples of fuzzy implicative semigroups are given and the properties of such fuzzy semigroups are described.
Acknowledgments
The first author's research is partially supported by a RGC direct grant (CUHK) # 2060232 (2001/2002). The second author's research is partially supported by NSFC grant # 10271035.
Notes
#Communicated by P. Higgins.