How to add two discrete fuzzy numbers

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I am trying to understand the addition of discrete fuzzy numbers but i have problem understanding the formula that is used for the addition of discrete fuzzy numbers which is:



$A^alpha_12=minA^alpha_1+A^alpha_2leq x leq max A^alpha_1+A^alpha_2$, where

$supp(A_1)+supp(A_2)=x_1+x_2 $ , $minA^alpha_1+A^alpha_2=minx_1+x_2,$
$maxA^alpha_1+A^alpha_2=maxx_1+x_2,$
and the membership function is define as
$mu_A^alpha_1+A^alpha_2(x)=supalphain [0,1]$.



please i need an example that will illustrate how this formula will be use.







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    up vote
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    down vote

    favorite












    I am trying to understand the addition of discrete fuzzy numbers but i have problem understanding the formula that is used for the addition of discrete fuzzy numbers which is:



    $A^alpha_12=minA^alpha_1+A^alpha_2leq x leq max A^alpha_1+A^alpha_2$, where

    $supp(A_1)+supp(A_2)=x_1+x_2 $ , $minA^alpha_1+A^alpha_2=minx_1+x_2,$
    $maxA^alpha_1+A^alpha_2=maxx_1+x_2,$
    and the membership function is define as
    $mu_A^alpha_1+A^alpha_2(x)=supalphain [0,1]$.



    please i need an example that will illustrate how this formula will be use.







    share|cite|improve this question






















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am trying to understand the addition of discrete fuzzy numbers but i have problem understanding the formula that is used for the addition of discrete fuzzy numbers which is:



      $A^alpha_12=minA^alpha_1+A^alpha_2leq x leq max A^alpha_1+A^alpha_2$, where

      $supp(A_1)+supp(A_2)=x_1+x_2 $ , $minA^alpha_1+A^alpha_2=minx_1+x_2,$
      $maxA^alpha_1+A^alpha_2=maxx_1+x_2,$
      and the membership function is define as
      $mu_A^alpha_1+A^alpha_2(x)=supalphain [0,1]$.



      please i need an example that will illustrate how this formula will be use.







      share|cite|improve this question












      I am trying to understand the addition of discrete fuzzy numbers but i have problem understanding the formula that is used for the addition of discrete fuzzy numbers which is:



      $A^alpha_12=minA^alpha_1+A^alpha_2leq x leq max A^alpha_1+A^alpha_2$, where

      $supp(A_1)+supp(A_2)=x_1+x_2 $ , $minA^alpha_1+A^alpha_2=minx_1+x_2,$
      $maxA^alpha_1+A^alpha_2=maxx_1+x_2,$
      and the membership function is define as
      $mu_A^alpha_1+A^alpha_2(x)=supalphain [0,1]$.



      please i need an example that will illustrate how this formula will be use.









      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Aug 21 at 8:09









      Mujahid A.

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