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Communications in Algebra Volume 32, 2004 - Issue 12
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Original Articles

Filters in Fuzzy Implicative Semigroups

Shuk Yee Lee Faculty of Science, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (SAR)
,
Kar Ping Shum Faculty of Science, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (SAR); Faculty of Science, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (SAR)Correspondence[email protected]
&
Congxin Wu Department of Mathematics, Harbin Institute of Technology, Harbin, China
Pages 4633-4651 | Received 01 Jun 2003, Published online: 31 Aug 2006
 
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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.

AMS Mathematics Classifications (2000):

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.

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