When normalized fuzzy weights are multiplying the fuzzy numbers so that the resulting fuzzy numbers go outside the range of possible values for a number. This certainly happen because the sum of the upper-bounds of the fuzzy weights are > 1. What do you suggest to tackle this problem (i.e. to emphasize the resulting fuzzy numbers to be inside the range of possible values)?
Dear Nasser,
Here links and attached files in subject.
-mathematical modeling for data envelopment analysis with fuzzy ...
https://theses.lib.vt.edu/theses/available/etd-04282001-234236/unrestricted/etd.pdf
-Risk Assessment Applications of Fuzzy Logic - Society of Actuaries
https://www.soa.org/Files/.../2015-risk-assess-apps-fuzzy-logic.pdf
Best regards
Dear Dr. Lafifi,
Thanks so much, they'll most definitely be of great help.
the sum is greater than one when u mostly divide the number (during computing the normalized weight) by an ordinary arithmetic operations instead of fuzzy arithmetic opertions. Take care of if A=[a,b,c] then 1/A =[1/c,1/b,1/a]
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