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Iranian Journal of Fuzzy Systems، جلد ۱، شماره ۲، صفحات ۶۳-۷۹
عنوان فارسی FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER BCK-IDEALS
چکیده فارسی مقاله 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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عنوان انگلیسی FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER BCK-IDEALS
چکیده انگلیسی مقاله 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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نویسندگان مقاله محمود بخشی |
department of mathematics, sistan and baluchestan university, zahedan, iran

رجبعلی برزویی | rajab ali
department of mathematics, sistan and baluchestan university, zahedan, iran

محمد مهدی زاهدی | mohammad mehdi
department of mathematics, shahid bahonar university of kerman, kerman, iran
سازمان اصلی تایید شده: دانشگاه شهید باهنر (Shahid bahonar university)

نشانی اینترنتی http://ijfs.usb.ac.ir/article_506_1cd574ace5a8a66b1d6f21e939dc2ec1.pdf
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