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A generalization of the Chen-Wu duality into quantale-valued setting | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 12، شماره 6، اسفند 2015، صفحه 129-140 اصل مقاله (385.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2184 | ||
| نویسندگان | ||
| Chong Shen1؛ Shanshan Zhang2؛ Wei Yao* 3؛ Changcheng Zhang4 | ||
| 1Department of Physics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China | ||
| 2Department of Physics, Hebei University of Science and Technol- ogy, Shijiazhuang 050018, P.R. China | ||
| 3Department of Physics, Hebei University of Science and Technology, Shi- jiazhuang 050018, P.R. China | ||
| 4Department of Physics, Hebei University of Science and Tech- nology, Shijiazhuang 050018, P.R. China | ||
| چکیده | ||
| With the unit interval [0,1] as the truth value table, Chen and Wu presented the concept of possibility computation over dcpos. Indeed, every possibility computation can be considered as a [0,1]-valued Scott open set on a dcpo. The aim of this paper is to study Chen-Wu's duality on quantale-valued setting. For clarity, with a commutative unital quantale $L$ as the truth value table, we introduce a concept of fuzzy possibility computations over fuzzy dcpos and then establish an equivalence between their denotational semantics and their logical semantics. | ||
| کلیدواژهها | ||
| Fuzzy Scott topology؛ $L$-fuzzy possibility computation؛ Denotational semantics؛ $L$-fuzzy predicate transformer؛ $L$-fuzzy logical semantics | ||
| مراجع | ||
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