This is a MATLAB question. As the last exercise, use the data sample on page 273

Question

This is a MATLAB question.

As the last exercise, use the data sample on page 273 (the Linear Least Squares fit problem - values are shown below) to create a function to display the max and min y value and the corresponding x value the min and max occur at in two ways:
1. sort the y column
2. use the min/max function

Here is the data:

No. x y No. x y
1 4.91 8.18 11 0.94 0.21
2 3.84 7.49 12 0.59 1.73
3 2.41 7.11 13 0.69 3.96
4 2.62 6.15 14 3.04 4.26
5 3.78 6.62 15 1.01 6.75
6 0.52 3.30 16 3.60 6.67
7 1.83 2.05 17 4.53 7.70
8 2.01 2.83 18 6.13 7.31
9 0.28 1.16 19 4.43 9.05
10 1.08 0.52 20 4.12 10.95

Display which method is faster.

Explanation / Answer

% Fuzzy Relational Calcululs Toolbox Rel. 1.1a % for use with the book % "Fuzzy Relational Calculus - Theory, Applications and Software" % (c) 2004 Ketty Peevaand Yordan Kyosev % % Fuzzy Relational Calcululs Toolbox comes % with ABSOLUTELY NO WARRANTY; for details see License.txt % This is free software, and you are welcome to redistribute % it under certain conditions; see license.txt for details. % % Compositions % % fuzzy_alpha.m alpha composition % fuzzy_epsilon.m epsilon composition % fuzzy_maxmin.m max-min composition % fuzzy_minmax.m min-max composition % maxmin_sample.m sample matrices for performing max-min composition % data4x2.m input data for intersection and union operations % % % Solvers for fuzzy linear system of equation (FLSE) % % solve_fls.m (standard) solver for FLSE % FillTypeMatrix.m return the augmented matrix A:B in (G-E-S) form of the coefficients % FillHelpMatrix.m return the help matrix and checks consistency of FLSE % sortmat.m return FLSE in normal form % sample_solve_inv_probl.m example for solving FLSE % fsdemo.p fast solver for FLSE - limited demo version % % % FLSE als inference engine % % diagn.m solve FLSE, returning the answer with descriptions of the fields % sewing_defects.m example input data for diagn.m % sewing_defects1.m example input data for diagn.m % % % Solver for fuzzy relational equation (FRE) % % re2le.m convert fuzzy relational equation to FLSE % fre.m FRE solver % fre_sample.m input for FRE example % fre_sample2.m input for FRE example % fre_sample3.m input for FRE example % % % % Solver for FLP (Fuzzy linear programming) % % linprog.m FLP solver, objective function with addition and multiplication % linprogsample.m input data for FLP example % linprog_fuzzy.m FLP solver, objective function with max - min operations % inprogsample_f.m input data for FLP example % % % Finite fuzzy machines % f_automata.m example for finite fuzzy machines - behavior matrix % % % Intuitionistic calculus % % im.m intuitionistic matrix object constructor % transpose.m equivalent to .' - transposed IM % sc_comp.m standard - costandard composition of intuitionistic matrices % ae_comp.m alpha - epsilon composition of ihtuitionistic matrices % disp_latex.m display the intuitionistic matrix in LATEX format % display.m print intuitionistic matrix on the workspace % i_sample4x3.m input data for intuitionistic calculations % data_intui.m input data for intuitionistic FRE % checkim.m check if the input is IM % getnonim.m return only fields, that not satisfy condition for IM % % % % Output formatting functions % % disp_latex.m display input matrix in LATEX format % disp_f.m format the input matrix with 2 digits after decimal point % % % Sterm object - constructor and private functions % CD-ROM:m@sterm % % sterm.m consrtuct sum of terms % absorbadd.m apply absorption for addition % char.m convert sum of terms to char array for display % display.m display sum of terms % mtimes.m p*q multiplies sterms p and q % plus.m p+q adds sterms p and q % remove.m remove element from sterm % sterm2num.m convert sterms to numeric array % sterm2terms.m convert sterms to term % % % Term object - constructor and private functions % CD-ROM:m@term % % term.m construct term object % char.m convert terms to char array for display % display.m display term % eq.m "equal to" for two terms % ge.m "greater than or equal to" - for two terms % gt.m "greater than" - for two terms % le.m "less than" - for two terms % mtimes.m p*q multiplies terms p and q % plus.m p+q adds temrs p and q % sort.m arrange term components ascending order of denominator % term2num.m convert term to numerical array % term2vec.m convert term to vector with n elements % % % Input data for systems of FLSE % The files return matrix A and column matrix B for FLSE A X = B % % zerodiag.m return matrix A with zero diagonal, and different right hand side components of the B % zerodiag2.m return matrix A with two stripe zero diagonals % zerodiag_eq.m return matrix A with zero diagonal and equal right hand side components % sample10x8.m "sampleYYxZZ" denotes " sample with size of A - YY x ZZ"

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