Computer Science ›› 2016, Vol. 43 ›› Issue (Z11): 50-55.doi: 10.11896/j.issn.1002-137X.2016.11A.011

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Fuzzy BCK-algebras and its Fuzzy Left (Right) Reduced Ideals

PENG Jia-yin   

  • Online:2018-12-01 Published:2018-12-01

Abstract: Introducing the concepts of fuzzy spaces and fuzzy binary operations proposed by Dib into BCK-algebra,a new aroappch to study fuzzy BCK-algebra was given.The concepts of fuzzy subalgebras,fuzzy left (right) reduced idealsand fuzzy homomorphisms of fuzzy BCK-algebras were put forward.A new theory of fuzzy BCK algebra was preliminarily established.The results show that the classical fuzzy sub-algebra and fuzzy left (right) reduced ideal of BCK-algebra are the special cases of the new theory,so the new method provides a powerful tool to develop the theory of fuzzy BCK-algebras.

Key words: Fuzzy space,Fuzzy binary operation,Fuzzy BCK-algebra,Fuzzy left (right) reduced ideal,Fuzzy homomorphism

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