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基于完备余剩余格的反向三I算法
引用本文:李岩,王顺钦,崔艳丽.基于完备余剩余格的反向三I算法[J].河南师范大学学报(自然科学版),2010,38(1).
作者姓名:李岩  王顺钦  崔艳丽
作者单位:1. 解放军信息工程大学,理学院,郑州,450001
2. 南阳师范学院,数学与统计学院,河南,南阳,473061
3. 解放军防空兵指挥学院,郑州,450052
摘    要:提出了一般余剩余格中的反向三I算法规则,给出了基于完备余剩余格的反向三Iα-MIFMP算法和反向三Iα-MIFMT算法,证明了CRL-型反向三IMIFMP算法和CRL-型反向三IMIFMT算法是P-还原算法,并基于Lukasiewicz余伴随对和R0余伴随对中的Θ算子给出了FMP问题和FMT问题关于反向三IMIFMP规则和反向三IMIFMT规则的解法.

关 键 词:余剩余格  反向三I算法  余伴随对  还原算法

The Opposite Directed Triple I Method Under Complete Co-residuated Lattice
Abstract:CRL-opposite directed triple I formula under coresiduated lattice is introduced,and the answer is given out to the question of CRL-opposite directed triple I α-MIFMP method and CRL-opposite directed triple I α-MIFMT method under complete co-residuated lattice,the research we also proves that CRL-opposite directed triple I MIFMP method and CRL-opposite directed triple I MIFMT method are P-reducing methods; in the last,under the Θ operator of ukasiewicz co-adjoint pair and R0 co-adjoint pair,the answer is given out to the question of opposite directed triple I method with respect to FMP formula and FMT formula.
Keywords:co-residuated lattice  the opposite directed triple I method  co-adjoint pair  reducing method
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