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C-continuous fuzzy posets | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 18، شماره 3، مرداد و شهریور 2021، صفحه 67-80 اصل مقاله (375.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6082 | ||
| نویسندگان | ||
| Y. J. Zhang* ؛ B. Zhao | ||
| School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, P.R. China | ||
| چکیده | ||
| In this paper, we develop the C-continuity via Scott Q-cotopological spaces, where Q is a commutative and integral quantale. The main results are: (1) The set of all C-compact elements of a complete Q-ordered set is irreducible complete; (2) The Scott Q-cotopology of a Q-ordered set under the fuzzy inclusion order is C-continuous, even C-prealgebraic; (3) We establish an adjunction between the category of irreducible complete Q-ordered sets and the category of C-prealgebraic complete Q-ordered sets. | ||
| کلیدواژهها | ||
| Category؛ Q-order؛ Scott Q-cotopology؛ C-continuity | ||
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آمار تعداد مشاهده مقاله: 495 تعداد دریافت فایل اصل مقاله: 526 |
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