A characterization of truth-functions in the nilpotent minimum logic |
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| Institution: | 1. School of Computer Science and Engineering, XiDian University, No. 2 South Taibai Road, Xi''an 710071, People''s Republic of China;2. Department of Automatic Control, BeiHang University, Beijing 100083, People''s Republic of China |
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| Abstract: | By introducing a new family of partitions into the n-cube 0,1]n, the problem of characterizing truth tables of formulas in the nilpotent minimum logic is solved and their normal forms are presented. So far, only this kind of fuzzy truth functions have normal forms among all fuzzy propositional calculi which are based on left-continuous but discontinuous t-norm. |
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