Title of article
A generalization of the Chen-Wu duality into quantale-valued setting
Author/Authors
Chong Shen، Chong Shen نويسنده Department of Physics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China , , Shanshan Zhang، Shanshan Zhang نويسنده Department of Physics, Hebei University of Science and Technol- ogy, Shijiazhuang 050018, P.R. China , , Wei Yao، Wei Yao نويسنده Wei Yao, Wei Yao , Changcheng Zhang، Changcheng Zhang نويسنده Department of Physics, Hebei University of Science and Tech- nology, Shijiazhuang 050018, P.R. China ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
12
From page
129
To page
140
Abstract
Chen و Wu مفهوم محاسبه احتمال روي dcpos را با بازده واحد [0.1] به عنوان جدول ارزش راستي ارايه نمودند. درحقيقت، هر محاسبه احتمال مي تواند به عنوان يك مجموعه ي باز Scott [0.1] - مقداري روي يك dcpo در نظر گرفته شود. هدف از اين مقاله مطالعه دوگاني Chen-Wu روي ارزش دهي چندكي است. براي وضوح، با يك چندك واحد تعويض پذير –L به عنوان جدول ارزش راستي ، مفهومي از محاسبات احتمال فازي روي dcpos فازي را معرفي و سپس يك هم ارزي بين مطالعه ي معنايي شناختي و كاربرد لغات و عبارات مفهومي و منطقي آنها برقرار مي كنيم.
Abstract
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-Wuʹs 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.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2015
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2327656
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