Hi, I am quite confused with the Fuzzy Set Theory on Fuzzy TOPSIS right now.
1) Is Fuzzy TOPSIS use rule-based method, which mean that I need to construct the rule in decision making?
2) If it is rule-based, how did the rule constructed and presented in the system ( decision making system) ?
3) For what I read so far, it only need to get the weight for each criteria, therefore, it is not considered as rule based, therefore I do not need to construct any rules on the system ?
4)Fuzzy Set Theory, how do I form the membership function for all my linguisitc variable ?
5) For the case study, what kind of real data do you recommend ?
6) What kind of data that we really need ?
My title: Job Candidate Filtering on FMCDM.
I had used the KANSEI Engineering Model to get my linguistic variables, but I am stuck on the fuzzy Set theory before I can proceed to the TOPSIS calculation. I hope you can show me a way to walk out. Thanks =)
Dear Tan Jian Kae,
I suggest for you a links and attached files in topics.
-An Extended Fuzzy PROMETHEE based on Fuzzy Rule based System ...
www.indjst.org/index.php/indjst/article/view/84225
-IEEE Xplore Document - Interval type 2- fuzzy rule based system ...
ieeexplore.ieee.org/abstract/document/7533271
-Entropy Based Multi-criteria Decision Making Method under Fuzzy ...
www.omicsonline.com/.../entropy-based-multicriteria-decision-ma.
Best regards
Thanks Dr Mohamed-Mourad Lafifi.
For what Dr suggested, they mentioned that FMCDM are using rule-based in their decision making system.
Therefore, conclusion is I needed to construct the rule before my algorithm and system can make a decision.
Am I correct ?
Can Dr correct me if I am wrong.
Thanks Dr.
Q #1:
Answer: it depends on the number of criteria that you will use to evaluate the object under evaluation. of course if you have many criteria in this case fuzzy set based rule cannot be used. Why??
because the traditional fuzzy set cannot be used to measure the target for two reasons, which are: (1) its weakness in the distribution importance weights of multiple criteria and (2) its weakness in the assessment of the target with regard to each criterion. Therefore, Bellman and Zadeh, (1970) presented a methodology called fuzzy multi-criteria decision-making (FMCDM) in order to resolve these weaknesses.
Q#2:Answer: if you have 5 criteria rule construction can be done using IF-THEN statements.
Q#3: Yes, in MCDM problem the assigning weight (The degree of importance) and the Rate (The degree of Performance) depends on Human thoughts and experience. Then, you have to use scale (numeric scale (e.g., 5 likert scale), Fuzzy linguistic variables) to assign the weight and rate. however, if the criteria that you used are subjective in nature you have to use fuzzy linguistic variables. but if they are not subjective you can use 5 likert scale of satty scale (1-9).
Q#4: this is another research problem. to develop fuzzy scale for your criteria or your research case this is different and complex process and task. you need to collect huge data set to train your method based on the criteria that you have and then come out with fuzzy scale. But in fuzzy MCDM, you need to Identify the suitable linguistic variables and relevant membership functions. you can adopt two linguistic variable sets (Weight set, Rate set) with five, seven, or nine linguistic terms corresponding to seven fuzzy numbers check the attached file (Chen, 2000).
Q#5: for your case study, you need to conduct a real case study. in the case study, the experts will assign the weight and rate to your criteria. but, first you have to collect real data regard each criterion that will help experts to assign the rate (real performance of each criterion) . the data that you will collect will be the input to your method FTOPSIS. you contribution will be more on the criteria that you will identify.
All the best
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