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Iranian Journal of Fuzzy Systems، جلد ۷، شماره ۲، صفحات ۱۴۱-۱۴۷
عنوان فارسی Actions, Norms, Subactions and Kernels of (Fuzzy) Norms
چکیده فارسی مقاله In this paper, we introduce the notion of an action $Y_X$
as a generalization of the notion of a module,
and the notion of a norm $vt: Y_Xto F$, where $F$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: Y_Xto [0, 1]subseteq {bf R}$, with $bf R$  the set of all real numbers. A great many standard mappings on algebraic systems can be modeled on norms as shown in the examples and it is seen that $mathrm{Ker}vt ={y|vt(y)=0}$ has many useful properties. Some are explored, especially in the discussion of fuzzy norms as they relate to the complements of subactions $N_X$ of $Y_X$.
کلیدواژه‌های فارسی مقاله (Fuzzy) norm، (Sub) action، Kernel،
عنوان انگلیسی Actions, Norms, Subactions and Kernels of (Fuzzy) Norms
چکیده انگلیسی مقاله In this paper, we introduce the notion of an action $Y_X$
as a generalization of the notion of a module,
and the notion of a norm $vt: Y_Xto F$, where $F$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: Y_Xto [0, 1]subseteq {bf R}$, with $bf R$  the set of all real numbers. A great many standard mappings on algebraic systems can be modeled on norms as shown in the examples and it is seen that $mathrm{Ker}vt ={y|vt(y)=0}$ has many useful properties. Some are explored, especially in the discussion of fuzzy norms as they relate to the complements of subactions $N_X$ of $Y_X$.
کلیدواژه‌های انگلیسی مقاله (Fuzzy) norm, (Sub) action, Kernel
نویسندگان مقاله jeong soon هانیه | jeong soon
department of applied mathematics, hanyang university , ahnsan, 426-791, korea

hee sik کیم | hee sik
department of mathematics, hanyang university , seoul, 133-791, korea

j neggers |
department of mathematics, university of alabama, tuscaloosa, al 35487-0350, u. s. a

نشانی اینترنتی http://ijfs.usb.ac.ir/article_182_12583be5a7b08dcb03ed1386fea3d7d7.pdf
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