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Finite Dimensional Generating Spaces of Quasi-Norm Family | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 10، شماره 5، دی 2013، صفحه 113-125 اصل مقاله (144.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1210 | ||
| نویسندگان | ||
| G. Rano1؛ T. Bag* 1؛ S. K. Samanta2 | ||
| 1Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India | ||
| 2Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India | ||
| چکیده | ||
| In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family. | ||
| کلیدواژهها | ||
| Quasi-norm؛ ~Generating space؛ ~Fuzzy norm؛ ~ t-norm | ||
| مراجع | ||
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