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Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 11، شماره 3، شهریور 2014، صفحه 125-136 اصل مقاله (361.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1574 | ||
| نویسنده | ||
| Reza Ameri* | ||
| School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, Iran | ||
| چکیده | ||
| We introduce and study fuzzy (co-)inner product and fuzzy (co-)norm of hyperspaces. In this regard by considering the notion of hyperspaces, as a generalization of vector spaces, first we will introduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions of fuzzy (co-)norm and fuzzy (co-)orthogonality in hyperspaces. In particular, we will prove that to every fuzzy hyperspace there is an associated unique fuzzy inner product in a natural way. | ||
| کلیدواژهها | ||
| Fuzzy hyperspace؛ Fuzzy (co-)inner product؛ Fuzzy (co-)norm؛ Fuzzy (co-)orthogonality | ||
| مراجع | ||
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