带停止迭代条件的普通二型模糊集合降阶算法
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摘要
针对普通二型模糊集合降阶算法效率低下问题,提出了带停止迭代条件的普通二型模糊集合降阶算法。基于模糊截集理论,将普通二型模糊集合的降阶简化为若干个区间二型模糊集合的降阶,并利用停止迭代条件来减小普通二型模糊集合降阶算法的运算时间。2种不同形式的首隶属度函数和次隶属度函数的仿真结果表明:该算法能够提高运算效率,具有较强的实用性。
For the lowefficiency of type reduction algorithm for general type-2 fuzzy sets,a type reduction algorithm for general type-2 fuzzy sets with iterative stop condition was proposed. Based on fuzzy cut theory,the general type-2 fuzzy set type reduction was simplified into several interval type-2 fuzzy set type reductions. With iterative stop condition,the calculation time of general type-2 fuzzy set type reduction was reduced. The simulation results of two kinds of first or secondary membership function showthat the algorithm can improve the operation efficiency and has strong practicability.
For the lowefficiency of type reduction algorithm for general type-2 fuzzy sets,a type reduction algorithm for general type-2 fuzzy sets with iterative stop condition was proposed. Based on fuzzy cut theory,the general type-2 fuzzy set type reduction was simplified into several interval type-2 fuzzy set type reductions. With iterative stop condition,the calculation time of general type-2 fuzzy set type reduction was reduced. The simulation results of two kinds of first or secondary membership function showthat the algorithm can improve the operation efficiency and has strong practicability.
引文
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[10]WU H J,SU Y L,LEE S J.A fast method for computing the centroid of a type-2 fuzzy set[J].IEEE Transactions on Systems,Man and Cybernetics,Part B:Cybernetics,2012,42(3):764-777.
[11]施建中,李荣,杨勇.一种新的区间二型模糊集合降阶算法[J].计算机应用研究,2017,34(2):378-381.SHI Jianzhong,LI Rong,YANG Yong.New interval type-2fuzzy sets type reduction algorithm[J].Application Research of Computers,2017,34(2):378-381.
[2]WU D,MENDEL J M.Enhanced Karnik-Mendel algorithms[J].IEEE Transactions on Fuzzy Systems,2009,17(4):923-934.
[3]WU D,NIE M.Comparison and practical implementation of type-reduction algorithms for type-2 fuzzy sets and systems[C]//IEEE International Conference on Fuzzy Systems.[S.l.]:IEEE,2011:2131-2138.
[4]LIU F.An efficient centroid type-reduction strategy for general type-2 fuzzy logic system[J].Information Sciences,2008,178(9):2224-2236.
[5]MENDEL J M,LIU F,ZHAI D.α-plane representation for type-2 fuzzy sets:theory and applications[J].IEEETransactions on Fuzzy Systems,2009,17(5):1189-1207.
[6]WAGNER C,HAGRAS H.Towards general type-2 fuzzy logic systems based on z Slices[J].IEEE Transactions on Fuzzy Systems,2010,18(4):637-660.
[7]WAGNER C,HAGRAS H.z Slices:towards bridging the gap between interval and general type-2 fuzzy logic[C]//IEEE International Conference on Fuzzy Systems.[S.l.]:IEEE,2008:489-457.
[8]MENDEL J M.General type-2 fuzzy logic systems made simple:a tutorial[J].IEEE Transactions on Fuzzy Systems,2014,22(5):1162-1182.
[9]YEH C H,ROGER W H,LEE S J.An enhanced typereduction algorithm for type-2 fuzzy sets[J].IEEETransactions on Fuzzy Systems,2011,19(2):227-240.
[10]WU H J,SU Y L,LEE S J.A fast method for computing the centroid of a type-2 fuzzy set[J].IEEE Transactions on Systems,Man and Cybernetics,Part B:Cybernetics,2012,42(3):764-777.
[11]施建中,李荣,杨勇.一种新的区间二型模糊集合降阶算法[J].计算机应用研究,2017,34(2):378-381.SHI Jianzhong,LI Rong,YANG Yong.New interval type-2fuzzy sets type reduction algorithm[J].Application Research of Computers,2017,34(2):378-381.