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Weak hyper semi-quantales and weak hypervalued topological spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 16، شماره 6، بهمن و اسفند 2019، صفحه 43-51 اصل مقاله (171.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.5018 | ||
| نویسنده | ||
| K. El-Saady* | ||
| Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, EGYPT | ||
| چکیده | ||
| The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued topology (or many-valued topology). Some properties of weak hyper semi-quantales and weak hypervalued-topologies will be studied. An adjunction between the category of weak hyper semi-quantales and the category of weak hypervalued quasi-topological spaces will be established. | ||
| کلیدواژهها | ||
| Hypergroupoids؛ semihypergroups؛ semi-quantales؛ lattice-valued topology | ||
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آمار تعداد مشاهده مقاله: 821 تعداد دریافت فایل اصل مقاله: 497 |
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