Constructions of Some Quantum Structures and Fuzzy Effect Space |
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| Authors: | Shang Yun Li Yongming Chen Maoyin Shang Yun |
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| Institution: | (1) College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Peoples's Republic of China;(2) Department of Automation, Tsinghua University, Beijing, Peoples's Republic of China;(3) College of Mathematics, and Information Science, Shaanxi Normal University, Xi'an, 710062, Peoples's Republic of China, e-mail |
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| Abstract: | Quantum structures like effect algebras,  -effect algebras, orthoalgebras, orthomodular posets, and -orthomodular posets are constructed by use of special fuzzy sets on posets. The concept of fuzzy effect space is introduced and a representation of a lattice effect algebra with a strong order determining system of states by means of fuzzy effect space is established. |
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| Keywords: | effect algebras orthoalgebras orthomodular posets order determining system of states fuzzy effect space |
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