6 votes
Accepted

Families of methods to deal with criterion uncertainties in multicriteria decision analysis

There are many applications of different MCDM (Multi-Criteria Decision Making) method families when there is some kind of uncertainty in weights or amount of objectives or criteria. Mosadeghi et al. (...
Oguz Toragay's user avatar
  • 8,652
5 votes
Accepted

Solving an exponential utility function

The utility function $u(x)=a-be^{-x/20\,000}$ with the conditions $u(0)=0$ and $u(100\,000)=1$ gives $$u(0)=a-be^{-0/20\,000}\implies 0=a-be^0=a-b\implies a=b\tag1$$ and $$u(100\,000)=a-be^{-100\,000/...
TheSimpliFire's user avatar
  • 5,412
4 votes
Accepted

Assignment and scheduling problem with resource constraints

I didn't find a way to express the transition constraints so i give a description what this does and mention what it lacks. ...
worldsmithhelper's user avatar
3 votes
Accepted

Two criteria in a problem that involves multiple-criteria decision-making

More criteria would not necessarily help, and in fact might make it harder to make a selection (for instance, if every alternative excels on some criterion and does badly on some other criterion). ...
prubin's user avatar
  • 39.1k
3 votes
Accepted

How to Use the Weighted Sum Method in R

The GeeksForGeeks page linked in your previous question provides one possible way to scale your attributes. Using that scaling method, your code is correct and two clusters has the highest performance ...
prubin's user avatar
  • 39.1k
3 votes
Accepted

Use the Weighted Sum Method in R

The edited version fixed one problem (numeric fields being character strings). Before using the weightedSum function (or doing any other calculations), you also ...
prubin's user avatar
  • 39.1k
2 votes

Application with VIKOR multicriteria method

It means that both options have the same ranking and it is up to you what to do with that information. If you look at the VIKOR paper of Opricovic & Tzeng (2004), you can see that $Q$ is defined ...
PeterD's user avatar
  • 1,551
2 votes
Accepted

Using VIKOR multicriteria method in R

Yes, lowest $Q$ wins. The weight $v$ is used to form a weighted average of $S$ (multiplied by $v$) and $R$ (multiplied by $1-v$). There is a Wikipedia page that attempts to explain VIKOR.
prubin's user avatar
  • 39.1k
1 vote

Weighted sum in the objective function

We typically normalize on seconds, minutes xor dollars, for as far as that is possible. And then leave it to a business stakeholder alignment meeting to tweak the weights. But normalization is not ...
Geoffrey De Smet's user avatar
1 vote

How can we choose the right weight to solve multi-objective problem using weighted sum method?

As far as I know, solving the multi-objective optimization by the weighted sum method should give one of the solutions that already exists on the Pareto non-dominance solution frontier. Let us make a ...
A.Omidi's user avatar
  • 8,892
1 vote

How can we choose the right weight to solve multi-objective problem using weighted sum method?

I'm going to assume here that bigger is better for all criteria. Let $x_{a,c}$ be the score for alternative $a$ on criterion $c,$ where $a\in \lbrace 1,\dots,A\rbrace$ and $c\in\lbrace 1,\dots,C\...
prubin's user avatar
  • 39.1k
1 vote

Normalized VIKOR method multicriteria

Yes! You're absolutely correct. Basically, whenever normalization is done in MCDM methods, the designer has to see whether the criteria is a benefit criteria (for which the higher the value, the ...
Shibaprasad's user avatar
1 vote

Strengths and weaknesses of some Multiple-criteria decision-making (MCDM) methods

The MCDM methods was created to make better decisions when the decision criteria is usually non-quantitive and is needed to create a decision as fast as possible. Also, there is really no obvious ...
A.Omidi's user avatar
  • 8,892
1 vote
Accepted

Conflicts with weights of the topsis method in R

Normalizing the Weights. According to the topsis() documentation, the argument weights must be "[a] numeric vector with ...
SecretAgentMan's user avatar
1 vote

MODM to create balanced groups of students to maximise diversity

This is not a direct answer, but I can point you to two papers that are closely related to what you are working on. [1] Rubin, Paul A. and Lihui Bai (2015). “Forming Competitively Balanced Teams”. IIE ...
prubin's user avatar
  • 39.1k
1 vote

Solving an exponential utility function

set k=1 in a=be=1+be^5. therefore a=k+be^5. solve for k=a-be^5.
charles's user avatar
  • 11

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