Fuzzy Topology Based on Residuated Lattice-Valued Logic |
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| Authors: | Ming Sheng Ying |
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| Affiliation: | (1) State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, P. R. China |
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| Abstract: | We use a semantical method of complete residuated lattice-valued logic to give a generalization of fuzzy topology as a partial answer to a problem by Roser and Turquette. This work is supported by the National Foundation for Distinguished Young Scholars (Grant No: 69725004), Research and Development Project of High-Technology (Grant No: 863-306-ZT06-04-3) and Foundation of Natural Sciences (Grant No: 69823001) of China and Fok Ying-Tung Education Foundation |
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| Keywords: | Fuzzy topology Residuated lattice Many-valued logic Semantics |
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