fuzzy (positive, weak) implicative hyper bck-ideals

Authors

mahmood bakhshi

rajab ali borzooei

mohammad mehdi zahedi

abstract

in this note first we define the notions of fuzzy positive implicativehyper bck-ideals of types 1,2,3 and 4. then we prove some theorems whichcharacterize the above notions according to the level subsets. also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperbck-ideals and fuzzy positive implicative hyper bck-ideals of types 5,6,7and 8. then, we define the notions of fuzzy (weak) implicative hyper bckidealsand we obtain some related results. finally, by considering the productof two hyper bck-algebras we give some theorems which show that how theprojections of a fuzzy (positive implicative, implicative) hyper bck-ideal isagain a fuzzy (positive implicative, implicative) hyper bck-ideal.

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Journal title:
iranian journal of fuzzy systems

Publisher: university of sistan and baluchestan

ISSN 1735-0654

volume 1

issue 2 2004

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