Dear Nirmala,

Please see answer of question posed by Mahmoud Omid through ResearchGate in Dec 13, 2013, here is folowing link :

-How to choose appropriate membership functions shapes and their ...

https://www.researchgate.net/.../How_to_choose_appropriate_mem...

Also i suggest you a links and attached files in topics.

-8 Supplier Selection in Agile Manufacturing Using Fuzzy ... - Springer

link.springer.com/content/pdf/10.1007%2F978-1-84996-244-5_8

- A fuzzy hierarchical decision model and its application ... - ScholarWorks

scholarworks.waldenu.edu/cgi/viewcontent.cgi?article=1656...

Best regards

 Dear Nirmala,

you can use these files that made for chang fuzzy ahp. 

Dear Morteza,

your file take consideration of sub criteria? Thx in advance.

Crisp number cannot be transformed in fuzzy number automatically and "objectively".If in a considered problem a data item is uncertain then you have to ask an expert of the problem how great is uncertainty of the data item. E.g. a weight mesurement device has shown your weight as 69.0 kg. Because of food human weight changes during a day and is not constant. You know how much food you take in a day and you can evaluate change of your weight as e.g.  69+-1kg. You are expert of your own person.

Dear Yixander

you can use those files for criteria and sub criteria Separately.  

thanks for your quick response. A very useful tool.

you're welcome

Dear Morteza,

Is there any English translation for your fuzzy topsis.xlsx? God job! Thx in adavance.

Dear Yixander

i will change its language as soon as i can. maybe two week later 

Dear Morteza,

Any luck with the translation of the fuzzy topsis.xlsx? Thx in advance...

Dear Yixander

I am working on fuzzy topsis to increase number of criteria and alternative into 40.

last file just done for 12 criteria. i will finish and translate as soon as i can. 

A  crisp number expressing measurement of a variable can be transformed in a fuzzy number only when the measurement of the variable value is uncertain. If the crisp number comes from a measurement device its left and right deviation is equal to the measurement error of the device. If the number comes from an expert, then the expert also has to evaluate uncertainty (his possible error) of his evaluation.

Dear Morteza,

I can't download your papers which you sent me as a answer.Can you please resend it.It will be helpful for me.

Thanks

Dear Nirmala

here you are. this is an excel file. you can download it from my profile too

Dear Morteza,

1.In fuzzy AHP, there is some formula for membership function of a triangular fuzzy number . Where it can use and hoe to use this formula in fuzzy AHP.

2. In your fuzzy ahp excel sheet where did you use that membership function formula.

3. Can we solve fuzzy AHP without finding membership values

Please explain/. Eagerly waiting for your reply.

Dear Andrjez and Morteza

If the data in our hand is intermittent (eg, three different temperatures were measured at three different locations in a city: (4,5,6)). This data is not acceptable as a triangular fuzzy number

As per my study , Many existing methods use a fuzzification and defuzzification process to simplify the calculation. However, loss of information may occur due to the simplification process in the defuzzification. Therefore, maintaining the data in the form of fuzzy numbers is important to avoid loss of information.

I am working on it and hopefully will get positive result...