计算机科学 ›› 2017, Vol. 44 ›› Issue (Z6): 557-559.doi: 10.11896/j.issn.1002-137X.2017.6A.124

• 综合、交叉与应用 • 上一篇    下一篇

基于正态分布对模糊概念自动计算的FPDA应用设计

刘浩舸,管建和   

  1. 中国地质大学北京信息工程学院 北京100083,中国地质大学北京信息工程学院 北京100083
  • 出版日期:2017-12-01 发布日期:2018-12-01

FPDA of Fuzzy Concepts Automatic Calculation PDA Designing Based on Normal Distribution

LIU Hao-ge and GUAN Jian-he   

  • Online:2017-12-01 Published:2018-12-01

摘要: 计算机控制系统具有自动机的特征,可以用有限自动机理论来对其进行描述,有限自动机是计算机科学各个方面的重要基石。但除确定性的有限自动机理论外,还有许多模糊事件应该由模糊自动机的隶属函数来解决,文中将重点放在具有正态分布特征的事件上。提出了一种实现自动运算的模糊自动机模型,若要在正态分布中得到“可能发生”和“很可能发生”这类模糊型事件的概率,可以只用这种模型实现自动计算。

关键词: 模糊数,正态分布,形式语言,下推自动机

Abstract: The controlling program of the computer system has the characteristics of FA,which can be described by the finite automaton theory.Finite automaton is an important cornerstone of every aspect of computer science.But besides deterministic finite automaton theory,there are multiply fuzzy events which should be operated by fuzzy automaton according to their membership function.In this paper we focused on the events based on normal distribution. In order to realize the automatic calculation of formulations and improve the effectiveness of the statistics of normal distribution events,this paper presented a fuzzy automaton model to achieve automatic operation,and we gave examples when wan-ting to get the probability of fuzzy events like “may-occur”,“very-likely-occur” or “rarely-occur” in normal distribution.

Key words: Fuzzy number,Normal distribution,Formal language,Pushdown automaton

[1] ABRIAL J R.The B-Book[M].Cambridge University Press,Cambridge,1996.
[2] BLANCO A,DELGADO M.MC PegalajarFuzzy automaton induction using neural networks[J].International Journal of Approximate Reasoning,2001,27(1):1-26.
[3] AHMED E.Fuzzy Cellular Automata Models in Immunology[J].Journal of Statistical Physics,1996,85(1):291-294.
[4] STEIN C M.Estimation of the Mean of a Multivaritate Normal Distribution[J].Annals of Statistics,1981,9(6):1135-1151.
[5] ASTESIANO E,et al.Fundamental Approaches to Software En-gineering (FASE 98)[M]∥Lecture Notes in Computer Science,vol.1382,Springer,Berlin,1998.
[6] WU Q E,PANG X M,HAN Z Y.Fuzzy automata system with application to target recognition based on image processing[J].Computer and Mathematics with Applications,2011(61):1267-1277.
[7] 雷红轩,彭家寅,牟廉明.取值于R~+的模糊自动机及其在动态规划中的应用[J].内江师范学院学报,2007,22(6):33-35.
[8] 朱文倩,贺巧,昌春艳,等.基于整数加群模糊自动机及其在对策论中的应用[J].内江师范学院学报,2009,24(8):41-43.
[9] BRADLEYA S,HENDERSONB W,K ENDALLB D,et al.A formal design language for real-time systems with data[J].Scien-ce of Computer Programming,2001(40):3-29.
[10] WAWRYN K.A Formal Language Description and InferenceStrategy for Aanalog Circuit Design[J].Circuits Systems Signal Processing,1996,15(6):771-805.
[11] BUTHAYNA H.Eilouti A Formal Language for Palladian Palazzo Faades Represented by a String Recognition Device[J] .Nexus Network Journal,2008,0(2):245-268.
[12] ALUR R,DILL D.Automata for modeling real-time systems[C]∥17th Internat.Colloquium on Automata,Languages and Programming (ICALP 90).Lecture Notes in Computer Science,Springer,Berlin,1990.
[13] ZHANG X W,LI Y M.Intuitionistic fuzzy recognizers and intui-tionistic fuzzy finite automata[M].Springer-Verlag,2009.
[14] KRITHIVASAN K,SHARDA K.Fuzzy w-automato[J].Information Science,2001,8(2001):257-281.
[15] WANG J,YIN M,GU W.Fuzzy multiset finite automata and their languages[J].Soft Comput,2013,17(3):381-390.
[16] KRITHIVASAN K,SHARDA K.Fuzzy w-automata[J].Information Science,2001(138):257-281.
[17] BIRKEDAL L,ROTHWELL N,TOFTE M,et al.The ML kit (version 1)[R].Tech.Report DIKU-Report 93=14,Department of Computer Science,University of Copenhagen,Universitetsparken 1,DK-2100 Copenhagen,1993.
[18] MIKL N A.Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley[J].Siam Journal on Discrete Mathematics,2007,23(1):401-406.
[19] KARNEY C F F.Sampling Exactly from the Normal Distribution[J].ACM Transactions on Mathematical Software,2016,42(1):3.
[20] ABRIAL J R.The B-Book[M]∥Cambridge University Press.Cambridge,1996.
[21] ALUR R,COURCOUBETIS C,DILL D.Model-checking forreal-time systems[C]∥IEEE 5th Annual Symp.on Logic In Computer Science.Philadelphia,1990:414-425.
[22] ALUR R,DILL D.Automata for modeling real-time systems[C]∥17th Internat.Colloquium on Automata,Languages and Programming (ICALP 90).Lecture Notes in Computer Science,Springer,Berlin,1990.

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