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Zbl 0981.06008
Li, Zhiwei; Zheng, Chongyou
Relations between fuzzy implication algebra and MV algebra. (English)
[J] J. Fuzzy Math. 9, No.1, 201-205 (2001). ISSN 1066-8950

The first class of algebras considered in this paper axiomatizes certain properties of the real unit interval $[0,1]$ equipped with (the dual of) truncated subtraction. Various kinds of additional properties are considered, and in some cases they are shown to precisely yield the variety of (C. C. Chang's) MV-algebras.
[Daniele Mundici (Milano)]
MSC 2000:
*06D35 MV-algebras
06F35 BCK-algebras, etc.
03B52 Fuzzy logic

Keywords: implication algebras; commutative BCK-algebra; MV-algebras

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