Multi-criteria decision making method for models with the dominant criterion

Abstract

In all practical problems associated with the selection and assessment, almost always criteria have different importance. The priorities of criteria are expressed by weighted coefficients. Every decision maker has to establish criteria priority scale. This can be done directly-degrees of criteria importance defined by judgment of experts, or indirectly-degrees of criteria importance calculated by alternatives themselves. Many multi-criteria decision methods allow some kind of compensatory between criteria. The low performance on an important criterion can be redeemed in overall aggregation by good performance on few other less important criteria. In this paper, we present the method which provides that such an important piece of information must be preserved: If an alternative does not satisfy a dominant criterion, then its overall aggregation value is zero.

An advanced dice similarity measure of generalized fuzzy numbers and its application in multicriteria decision making

“…In MCDM problems, two types of criteria are taken into consideration, first one is the criteria that to be maximized called the profit/benefit criteria and the later one is the criteria that to be minimized called cost criteria. Usually, a criteria of the later type can be converted into profit/benefit criteria (Zizovic, Damljanovic, & Zizovic, 2017). On the other hand, an ideal solution to a MCDM problem would maximize all the profit criteria and minimize all the cost criteria (Xu & Yang, 2001).…”

Multicriteria group decision making via generalized trapezoidal intuitionistic fuzzy number-based novel similarity measure and its application to diverse COVID-19 scenarios

“…Generally, two kinds of criteria(s) are considered in an MCDM problem, one is theb enefit/profit criteria which are to be maximized and the other is the cost criteria, which is to be minimized. Cost criteria(s) also can be converted into profit ones (Zizovic et al (Zizovic and DamljanovicN 2017 )). Now a solution that minimizes all the cost criteria and maximizes all the profit criteria is called an idealone(Xu & Yang (Xu and Yang 2001 )).…”

Multicriteria decision making approach using an efficient novel similarity measure for generalized trapezoidal fuzzy numbers

“…It is worth noticing that, the type of attribute(s) or criteria(s), has two broad classifications viz., the profit/benefit criteria need to be maximized for obtaining the feasible solution for any problem, whereas the other is the cost criteria which needs to be minimized similarly. There are also provisions when a cost criterion can take the form of benefit criteria, as beautifully explained by Zizovic et al ( 2017 ). When a solution can achieve both the objectives of maximizing the profit as well as minimizing the cost, then the solution is termed as an ideal one (Xu and Yang 2001 ).…”