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**dematel software**

**Working with DEMATEL software is very simple:**

**1. Enter pairwise comparisons**

**2. Get the full output**

User friendly

The full output

The complete Help

Demo version

No need to install

Editing each project

**The software output report presents all steps of DEMATEL:**

Decision matrix

Normalized decision matrix

Total relation Matrix

Calculate D+R and D-R

Casual diagram (cause and effect)

No limit on the number of the criteria

No limit on the number of experts

The possibility to edit each project

The possibility to copy-paste pairwise comparisons into software from Excel

The possibility to delete / edit / retrieve each expertAnd so on

$10/1 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of projects

$15/2 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of projects

$30/6 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of projects

free

- limit on the number of criteria
- limit on the number of experts
- limit on the number of projects

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]]>fuzzy vikor software

**Working with fuzzy vikor software is very simple:**

**1. Define criteria and alternatives**

**2. Enter / create a fuzzy scale**

**3. Enter decision matrix data**

**4. Get the full output**

User friendly

The full output

The complete Help

Demo version

No need to install

Editing each project

**The software output report presents all steps of fuzzy Vikor:**

Decision matrix

Normalized decision matrix

Best to worst score for each criterion

Calculate S, R and Q for each criterion

Rank the alternatives based on S, R and Q

Rank the alternatives based on a compromise solution

No limit on the number of the criteria

No limit on the number of the alternatives

No limit on the number of experts

The possibility to determine criterion weight and type

The possibility to define the desired fuzzy scale

The possibility to edit each project

The possibility to copy-paste matrix decision data into software from Excel

The possibility to delete / edit / retrieve each expert

And so on

$10/1 month

- No limit on the number of criteria/ sub-criteria
- No limit on the number of alternatives
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

$15/2 month

- No limit on the number of criteria/ sub-criteria
- No limit on the number of alternatives
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

$30/6 month

- No limit on the number of criteria/ sub-criteria
- No limit on the number of alternatives
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

free

- Limit on the number of criteria
- Limit on the number of alternative
- Limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of software run

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**Fuzzy dematel software**

**Working with fuzzy DEMATEL software is very simple:**

**1. Create /select a fuzzy scale**

**2. Enter pairwise comparisons**

**3. Get the full output**

User friendly

The full output

The complete Help

Demo version

No need to install

Editing each project

**The software output report presents all steps of fuzzy DEMATEL:**

Decision matrix

Normalized decision matrix

Total relation Matrix

Calculate D+R and D-R

Casual diagram (cause and effect)

No limit on the number of the criteria

No limit on the number of experts

The possibility to define the desired fuzzy scale

The possibility to edit each project

The possibility to copy-paste pairwise comparisons into software from Excel

The possibility to delete / edit / retrieve each expertAnd so on

$10/1 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

$15/2 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

$30/6 month

- No limit on the number of criteria
- No limit on the number of experts
- No limit on the number of fuzzy scales
- No limit on the number of projects

free

- limit on the number of criteria
- limit on the number of experts
- limit on the number of fuzzy scales
- limit on the number of projects

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]]>First of all, enter your project’s name.

For example, in this project, the fuzzy AHP (Chang) method is used to select the best College.

Here, you can create your own hierarchical chart.

To add a criterion or sub-criterion, click the plus (+) symbol, and to delete a criterion or sub-criterion, click the minus (-) symbol.

To write the desired name for the criterion, click on the criterion name and enter your own desired name that is short to write.

As shown on the picture, to set the chart’s appearance, click the gear icon to change the color, shape and any other settings (this feature will be added soon)

If there are several alternatives, select “Yes” and then click “Add Alternative” button to add the new alternative. If there is no alternative, select “No”.

To delete a selected alternative, click the minus (-) symbol.

Changing the name and the appearance of alternative is exactly the same way used for the criterion (this feature will be added soon).

Here, you can select or create your own fuzzy scale from a list of default fuzzy scales.

You can select your own default fuzzy scale from a list of scales in the list.

If you tend to create your own scale, click “Create your Scale” and create your own scale in the table.

To create a new scale, you need to enter your own verbal expressions and fuzzy triangular numbers. A triangular fuzzy number can be denoted as ( l , m , u ) , where l and u stand for the lower and upper values of fuzzy numbers, respectively, and m for the middle value.

As shown on the picture, you can easily edit a scale

Here, you can fill the pairwise comparison matrices created based on the hierarchical chart.

Notice that in the pairwise comparison matrices, **the codes that appear in the scale table** need to enter. (A code represents a verbal expression, for example, code 1 implies equal importance)

To fill the pairwise comparison tables, simply click in each cell of the matrix and enter your own pairwise comparison number.

It is recommended that you insert codes in Excel in order to avoid wasting time, and then copy and paste tables from Excel at once.

If a row criterion is more important than the column criterion, enter a positive number. For example, if you enter the 5, the row criterion is 5 times more important than the column criterion.

If a column criterion is more important than the row criterion, enter a negative number. For example, if you enter – 4, the column criterion is 4 times more important than the row criterion.

By clicking on the “Inconsistency Ratio” button, the inconsistency ratio can be displayed at the top of each pairwise comparison matrix**.**

As you can see from the picture above, experts include the following:

**Add Expert**: If there several experts, you can increase the number of experts by clicking “Add Expert”. By clicking on this button, a previous expert will be automatically saved and the new expert will be added.

**Delete Expert**: By clicking “Delete Expert”, the current expert will be deleted.

**Save Expert**: By clicking “Save Expert”, the current expert data will be saved.

As you can see in the picture below, the status of experts include the following:

If all the expert data are completed and stored, the expert’s status is “completed”.

If all the expert data are not completed, the expert’s status is “incompleted”.

If an expert has been deleted, the expert’s status is “deleted” and you can retrieve the data.

**mean**: By clicking on the “mean” button, the fuzzy average of all the experts’ judgments along with the inconsistency ratio for all of the pairwise comparison matrices will be observed. (How to calculate the meanis described by a link in the existing page)

To observe the average, the data of all current experts needs to be completed.

There a scale bar at the bottom of the screen that displays the preference value of the selected cell and you can change the pairwise comparison number using the scale bar tab.

If the entered number is positive, the row component is preferred over the column component.

If the entered number is negative, the column component is preferred over the row component.

Here, you can observe weights of all the criteria, sub-criteria, and alternatives with respect to the higher levels and goal, in the form of a table or chart. There is a possibility to download each chart in different formats.

You can also observe the hierarchical chart of research, and then download it.

You can download Excel file related to all the pairwise comparisons along with the inconsistency rates and output weights.

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]]>**STEP 1**: Transform a triangular fuzzy matrix into two independent matrices. At this step, a triangular fuzzy matrix is divided into two matrices, assuming that the triangular fuzzy number is presented as follows.

Then, we will get,

The first matrix can be created by middle numbers of the triangular fuzzy matrix, that is:

**STEP 2**: Compute the weight vector based on the saaty method and calculation of lamda(max)

**STEP 3**: Calculate the consistency index (CI): for each matrix, the CI can be calculated based on the following equation:

**STEP 4**: Calculate the consistency ratio (CR) of the matrices in Problem. In order to compute the CR, the consistency index (CI) of each matrix is divided by its random index (RI).

If the values of CRm and CRg are less than 0.1, the matrices are consistent.

The values of the RI given by Gogus and Boucher method are different from those in the saaty method. Gogus and Boucher redeveloped the random indices (RI) Table for fuzzy pairwise comparison matrices with creating 400 random matrices. The following table presents the values of the RI for each matrix of Gogus and Boucher method.

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