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4.1 Introduction
TOPSIS is an acronym for Technique for Order Preference by Similarity to Ideal
Solution. Method TOPSIS first introduced by Yoon and Hwang in 1981 (Hwang and
Yoon 1981) and improved in 1987 by Yoon (Yoon 1987), after that in 1993 also by
Hwang, Lai and Liu (Hwang et al. 1993). Its fundamental concept ought to have the
most limited distance from the positive ideal solution (PIS) and must be far from the
negative ideal solution (NIS).
Multi criteria decision-making (MCDM) strategies, TOPSIS could be a usefull
and valuable strategy for positioning and selecting the best options by measuring
Euclidean distances. TOPSIS could be a straightforward positioning strategy and
application. The TOPSIS strategy proposed as a decision making model which can
be applied in numerous areas. The major idea of this methodology is obtaining the
best imagined alternative (PIS) and then discover a situation, which is closest to the
PIS and furthest to the NIS (Sianaki 2020).
The PIS is characterized as the combination of all the most excellent values that can
be achieved for each trait, whereas the NIS includes all of the most notable awful
scores achieved for each criterion. Based on comparisons with relative distance,
elective priority arrangement of action can be accomplished. This strategy is broadly
utilized to unravel practical decisions (Ic 2012). TOPSIS is broadly utilized for
reasons such as:
• The concept is straightforward and simple to get.
• Having the capacity to measure the relative execution of choice options in a basic
numerical frame.
The strategy of TOPSIS based on the a general notion that the leading chosen
elective doesn’t just have the most limited range from the PIS but moreover has the
longest range from the NIS. The steps involved in TOPSIS include:
1- Constructing the decision matrix and importance weights of the criteria based
on the decision maker preferences
2- Counting the normalized decision matrix
3- Counting the weighted normalized decision matrix
4- Obtaining a PIS and NIS
5- Counting the separation measures from the PIS and NIS
6- Counting the relative closeness to the PIS
Advantages of the TOPSIS include;
• The concept is straightforward, simple to obtain and able to evaluate a single
alternative.
• The concept is comprehensible.
• Efficient computation.
• The differences between the alternatives can be visualized using normalized values
(Kraujalien˙ e 2019).
• Instinctive and rational logic that forms the basis of human choice.
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