模糊统计试验

1、精选优质文档-倾情为你奉上模糊统计试验 模糊数学是近十几年来发展很迅速的一个数学分支，模糊集合是隶属函数描述的，以隶属函数建立了模糊集合论。因此隶属函数的确定在模糊数学的应用中占有极为重要的地位。怎样确定隶属函数u是一个关键的问题，本实验通过模糊统计实验来确定隶属函数，而且只能建立近似的隶属函数是否符合实际直接影响效果的好坏。在本实验中，我们还对模糊统计加以改进，提出了更切实际的模糊统计算法。1.实验目的（1）掌握模糊统计方法。设在模糊统计试验中，样本空间为n,计算 （1） 随着n的增大，隶属频率会呈现出稳定，称之为隶属频率的稳定性。（2）学习利用模糊统计方法确定“青年人”这一模糊集的隶属函数

2、。这个稳定的数称为u的隶属度。由此来我们来确定隶属函数。（3）学习利用MATLAB软件实现确定“青年人”隶属函数的模型。（4）学习改进的模糊统计，得到更切实际的隶属函数。2.实验内容 以人的年龄作为论域。随机抽取129个大学生，在独立认真考虑“青年人”的含义之后，给出各自的答案，形成129个“青年人”的年龄段。关于青年人调查表1825173017281825163514251830183518351625153018351735182518351825203018301630203518301830152528301528162828301830163018351825182516281830

3、163016281835183517271628152816301928153015261725153618301730183516351525152518281630152818351830172818351528183015251525183016241525163215271835162518281628183018351830183017301830183516301835172515301825173014251826182918351828183018251635172918251730162818301628153015351530203020301625173015301830

4、16301828183516301530183518351830173016351730152518351530152515301830172518291828根据上述统计的数据，建立“青年人”这一模糊集合的隶属函数，并绘制模糊统计频率图。3实验方法3.1 问题的分析 本实验为利用模糊统计的方法来确定“青年人”的隶属函数。在确定“青年人”的隶属函数的实验中，年龄的论域取为，需要确定U的每一个年龄u隶属于M的程度。实验时，每次明确M的一个区间，一些区间可能不包含u，最后可用实验中得到的包含u的区间数除总实验次数作为u的隶属于M的程度。这样就得到各个年龄的隶属度，根据隶属度画出这个隶属函数的图像。

5、 通过上述模糊统计方法描出“青年人”这一模糊集隶属函数的大致曲线，将它与常见的模糊分布曲线比较，选择最接近的一个，再根据实际确定符合实际的参数。这样，就很容易的写出隶属函数的表达式。3.2 模型求解3.2.1 MATLAB程序functionvarargout = FuzzyMath(varargin)% FUZZYMATH MATLAB code for FuzzyMath.fig% FUZZYMATH, by itself, creates a new FUZZYMATH or raises the existing% singleton*.% H = FUZZYMATH returns

6、the handle to a new FUZZYMATH or the handle to% the existing singleton*.% FUZZYMATH('CALLBACK',hObject,eventData,handles,.) calls the local% function named CALLBACK in FUZZYMATH.M with the given input arguments.% FUZZYMATH('Property','Value',.) creates a new FUZZYMATH or rais

7、es the% existing singleton*. Starting from the left, property value pairs are% applied to the GUI before FuzzyMath_OpeningFcn gets called. An% unrecognized property name or invalid value makes property application% stop. All inputs are passed to FuzzyMath_OpeningFcn via varargin.% *See GUI Options o

8、n GUIDE's Tools menu. Choose "GUI allows only one% instance to run (singleton)".% See also: GUIDE, GUIDATA, GUIHANDLES% Edit the above text to modify the response to help FuzzyMath% Last Modified by GUIDE v2.5 25-Nov-2013 22:31:02% Begin initialization code - DO NOT EDITgui_Singleton =

9、 1;gui_State = struct('gui_Name', mfilename, .'gui_Singleton', gui_Singleton, .'gui_OpeningFcn', FuzzyMath_OpeningFcn, .'gui_OutputFcn', FuzzyMath_OutputFcn, .'gui_LayoutFcn', , .'gui_Callback', );ifnargin&&ischar(varargin1)gui_State.gui_Callba

10、ck = str2func(varargin1);endifnargout varargout1:nargout = gui_mainfcn(gui_State, varargin:);elsegui_mainfcn(gui_State, varargin:);end% End initialization code - DO NOT EDIT% - Executes just before FuzzyMath is made visible.functionFuzzyMath_OpeningFcn(hObject, eventdata, handles, varargin)% This fu

11、nction has no output args, see OutputFcn.% hObject handle to figure% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% varargin command line arguments to FuzzyMath (see VARARGIN)% Choose default command line output for Fuzzy

12、Mathhandles.output = hObject;% Update handles structureguidata(hObject, handles);% UIWAIT makes FuzzyMath wait for user response (see UIRESUME)% uiwait(handles.figure1);% - Outputs from this function are returned to the command line.functionvarargout = FuzzyMath_OutputFcn(hObject, eventdata, handles

13、) % varargout cell array for returning output args (see VARARGOUT);% hObject handle to figure% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Get default command line output from handles structurevarargout1 = handles.outp

14、ut;function edit1_Callback(hObject, eventdata, handles)% hObject handle to edit1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit1 as text% str2doubl

15、e(get(hObject,'String') returns contents of edit1 as a doubleinput = str2num(get(hObject,'String'); if (isempty(input)set(hObject,'String','0')endguidata(hObject, handles);% - Executes during object creation, after setting all properties.function edit1_CreateFcn(hObje

16、ct, eventdata, handles)% hObject handle to edit1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.ifispc&&

17、;isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')set(hObject,'BackgroundColor','white');endfunction edit2_Callback(hObject, eventdata, handles)% hObject handle to edit2 (see GCBO)% eventdata reserved - to be defined in a future version

18、of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit2 as text% str2double(get(hObject,'String') returns contents of edit2 as a doubleinput = str2num(get(hObject,'String'); if (isempty(input)set(hObject,&#

19、39;String','0')endguidata(hObject, handles);% - Executes during object creation, after setting all properties.function edit2_CreateFcn(hObject, eventdata, handles)% hObject handle to edit2 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handl

20、es not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.ifispc&&isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')set(hObject,'BackgroundColor','white

21、9;);end% - Executes on button press in pushbutton1.function pushbutton1_Callback(hObject, eventdata, handles)% hObject handle to pushbutton1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)ax=get(handles.edit1,&#

22、39;String');bx=get(handles.edit2,'String');a = str2num(ax);b = str2num(bx);data=get(handles.uitable1,'data');globalflg;global da;data(flg+1,:)=a,b;set(handles.uitable1,'data',data);flg=flg+1;da=data;guidata(hObject, handles);% - Executes on button press in pushbutton2.fun

23、ction pushbutton2_Callback(hObject, eventdata, handles)% hObject handle to pushbutton2 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)globalflg;global da;flg=0;function edit3_Callback(hObject, eventdata, handles

24、)% hObject handle to edit3 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit3 as text% str2double(get(hObject,'String') returns contents of ed

25、it3 as a doubleinput = str2num(get(hObject,'String'); if (isempty(input)set(hObject,'String','0')endguidata(hObject, handles);% - Executes during object creation, after setting all properties.function edit3_CreateFcn(hObject, eventdata, handles)% hObject handle to edit3 (see

26、GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.ifispc&&isequal(get(hObject,'BackgroundColor'), get(0

27、,'defaultUicontrolBackgroundColor')set(hObject,'BackgroundColor','white');end% - Executes on button press in pushbutton3.function pushbutton3_Callback(hObject, eventdata, handles)% hObject handle to pushbutton3 (see GCBO)% eventdata reserved - to be defined in a future versio

28、n of MATLAB% handles structure with handles and user data (see GUIDATA)global da;da1=cell2mat(da);da1=da1'y1 y2=size(da1);w=get(handles.edit3,'String');ww = str2num(w);Ax=0;for j=1:y2if(ww>=da1(1,j)&ww<=da1(2,j) Ax= Ax+1;endendAx=Ax/y2;ax=num2str(Ax);set(handles.text8,'String',ax);guidata(hObject, handles);function pushbutton6_Callback(hObject, eventdata, handles)% hObject handle to pushbutton6 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and us