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Iranian Journal of Fuzzy Systems، جلد ۶، شماره ۱، صفحات ۸۱-۹۴
عنوان فارسی ON ($epsilon, epsilon vee q$)-FUZZY IDEALS OF BCI-ALGEBRAS
چکیده فارسی مقاله The aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-
fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in BCIalgebras and to investigate some of their properties. Several characterization
theorems for these generalized fuzzy ideals are proved and the relationship
among these generalized fuzzy ideals of BCI-algebras is discussed. It is shown
that a fuzzy set of a BCI-algebra is an ($epsilon, epsilon vee q$)-fuzzy a-ideal if and only if it
is both an ($epsilon, epsilon vee q$)-fuzzy p-ideal and an ($epsilon, epsilon vee q$)-fuzzy q-ideal. Finally, the concept of implication-based fuzzy a-ideals in BCI-algebras is introduced and,
in particular, the implication operators in Lukasiewicz system of continuousvalued
logic are discussed.
کلیدواژه‌های فارسی مقاله BCI-algebra، ($epsilon، epsilon vee q$)-fuzzy (p-، q- and a-) ideal، Fuzzy logic، Implication operator،
عنوان انگلیسی ON ($epsilon, epsilon vee q$)-FUZZY IDEALS OF BCI-ALGEBRAS
چکیده انگلیسی مقاله The aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-
fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in BCIalgebras and to investigate some of their properties. Several characterization
theorems for these generalized fuzzy ideals are proved and the relationship
among these generalized fuzzy ideals of BCI-algebras is discussed. It is shown
that a fuzzy set of a BCI-algebra is an ($epsilon, epsilon vee q$)-fuzzy a-ideal if and only if it
is both an ($epsilon, epsilon vee q$)-fuzzy p-ideal and an ($epsilon, epsilon vee q$)-fuzzy q-ideal. Finally, the concept of implication-based fuzzy a-ideals in BCI-algebras is introduced and,
in particular, the implication operators in Lukasiewicz system of continuousvalued
logic are discussed.
کلیدواژه‌های انگلیسی مقاله BCI-algebra, ($epsilon, epsilon vee q$)-fuzzy (p-, q- and a-) ideal, Fuzzy logic, Implication operator
نویسندگان مقاله jianming zhan |
department of mathematics, hubei institute for nationalities, enshi, hubei province,445000, p. r. china

یانگ بایی جون | young bae
department of mathematics education, gyeongsang national university, chinju 660-701, korea

بیژن دواز |
department of mathematics, yazd university, yazd, iran
سازمان اصلی تایید شده: دانشگاه یزد (Yazd university)

نشانی اینترنتی http://ijfs.usb.ac.ir/article_222_5803dad8f3359c0150f261e18f2d8330.pdf
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