A generalization of the Chen-Wu duality into quantale-valued setting

Authors

  • Changcheng Zhang Department of Physics, Hebei University of Science and Tech- nology, Shijiazhuang 050018, P.R. China
  • Chong Shen Department of Physics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China
  • Shanshan Zhang Department of Physics, Hebei University of Science and Technol- ogy, Shijiazhuang 050018, P.R. China
  • Wei Yao Department of Physics, Hebei University of Science and Technology, Shi- jiazhuang 050018, P.R. China
Abstract:

With the unit interval [0,1] as the truth value table, Chen and Wupresented 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 tostudy Chen-Wu's duality on quantale-valued setting. For clarity,with a commutative unital quantale $L$ as the truth value table, weintroduce a concept of fuzzy possibility computations over fuzzydcpos and then establish an equivalence between their denotationalsemantics and their logical semantics.

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Journal title

volume 12  issue 6

pages  129- 140

publication date 2015-12-30

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