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Boundedness and Continuity of Fuzzy Linear Order-Homomorphisms on $I$-Topological\\ Vector Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 11، شماره 1، اردیبهشت 2014، صفحه 147-157 اصل مقاله (371.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1400 | ||
| نویسندگان | ||
| Jin Xuan Fang* 1؛ Hui Zhang2 | ||
| 1School of Mathematical Science, Nanjing Normal University, Nan- jing, Jiangsu 210023, P. R. China | ||
| 2Department of Mathematics, Anhui NormalUniversity, Wuhu, Anhui 241000, P. R. China | ||
| چکیده | ||
| In this paper, a new definition of bounded fuzzy linear order homomorphism on $I$-topological vector spaces is introduced. This definition differs from the definition of Fang [The continuity of fuzzy linear order-homomorphism. J. Fuzzy Math. {\bf 5}\textbf{(4)}(1997), 829--838]. We show that the ``boundedness" and `` boundedness on each layer" of fuzzy linear order homomorphisms do not imply each other. On the basis, characterizations of continuity of fuzzy linear order-homomorphisms, and the relation between continuity and boundedness are studied. | ||
| کلیدواژهها | ||
| $I$-topological vector spaces؛ Bounded fuzzy set؛ Bounded fuzzy linear order-homomorphism | ||
| مراجع | ||
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