C-continuous fuzzy posets
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 3
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-3_007
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
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: (۱) The set of all C-compact elements of a completeQ-ordered set is irreducible complete; (۲) The Scott Q-cotopology of a Q-ordered set under the fuzzy inclusion order is C-continuous, evenC-prealgebraic; (۳) We establish an adjunction between the category of irreducible complete Q-ordered sets and the category of C-prealgebraic complete Q-ordered sets.
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Authors
Y. J. Zhang
School of Mathematics and Statistics, Shaanxi Normal University, Xi&#۰۳۹;an ۷۱۰۱۱۹, P.R. China
B. Zhao
School of Mathematics and Statistics, Shaanxi Normal University, Xi&#۰۳۹;an ۷۱۰۱۱۹, P.R. China