Methods that work with Grey data

Every method that works with this data type has a page of its own. Those with an academy card are explained here through their philosophy, how to read their output and worked cases; the rest open on their formula page in the library.

15 academy cards · 0 only in the library · 15 methods in the catalogue

Methods with an academy card

15 cards

RankingGrey ProjectionGrey Projection compares criterion values given as intervals (a lower and an upper bound rather than a single exact number) by projecting them onto the best and worst reference directions; the alternative with the larger projection onto the ideal and the smaller projection onto the worst comes out on top.Open the card →
TOPSIS extensionsGrey TOPSISThis is the form of TOPSIS that works with grey interval numbers, for situations where a criterion's value is known only by its lower and upper bound. It carries the bounds separately through to the very last step, builds the ideal and anti-ideal point from those bounds, and ranks the result with a single closeness score.Open the card →
VIKOR extensionsGrey VIKORThis is the form of VIKOR that works with grey numbers, for situations where criterion values are known only by a lower and upper bound. DecisionMind reduces these bounds to a single midpoint before the calculation begins, then runs crisp VIKOR's compromise procedure on those midpoints.Open the card →
SAW extensionsGrey SAWGrey SAW is the form of SAW that works with grey numbers when criteria are known only by a lower and upper bound. It whitenises every cell, then applies crisp SAW's weighted sum.Open the card →
EDAS extensionsGrey EDASThis is the form of EDAS that works with grey interval numbers. Criterion values are used here only when they are known by a lower and upper bound alone; the positive and negative distance from the set's average is computed across both ends of the interval, and the result is ranked by a single appraisal score.Open the card →
COPRAS extensionsGrey COPRASGrey COPRAS is the form of COPRAS used when criterion values are known only by a lower and an upper bound, that is, when they are grey. DecisionMind reduces every interval to its midpoint, that is, whitens it, and then runs COPRAS's benefit/cost ratio calculation on these single numbers exactly as usual.Open the card →
MARCOS extensionsGrey MARCOSThis is the form of MARCOS that works with grey numbers when criterion values are known only by a lower and upper bound. The bounds are first whitenised to a single midpoint, and the remaining calculation then follows the same ideal/anti-ideal ratio as crisp MARCOS.Open the card →
CODAS extensionsGrey CODASGrey CODAS is the form of CODAS that works with grey numbers when criterion values are known only by a lower and an upper bound. It computes two different distance measures over the bounds, and ranks the result, again, with a single assessment score.Open the card →
PROMETHEE extensionsGrey PROMETHEEGrey PROMETHEE is the form of PROMETHEE used when criterion scores are given only by a lower and upper bound. It reduces every pair of bounds to a single number by its midpoint (whitenisation), and derives the preference function's threshold automatically from that criterion's spread across the alternatives.Open the card →
TODIM extensionsGrey TODIMGrey TODIM is the form of TODIM used when the values in the decision table are known not as single numbers but only by a lower and upper bound (a grey number). It runs the same loss-aversion logic on values reduced to the midpoint of the bounds.Open the card →
WASPAS extensionsGrey WASPASGrey WASPAS is the form of WASPAS used when criterion values are known only by a lower and upper bound. It reduces the bounds to a single midpoint value, then computes the sum and product components on that midpoint exactly as crisp WASPAS does.Open the card →
ARAS extensionsGrey ARASGrey ARAS is the form of ARAS that works with grey numbers when criterion values are known only by a lower and an upper bound. It computes the additive utility ratio over the bounds, reduces the result to a single midpoint, and converts it into a degree of utility.Open the card →
MABAC extensionsGrey MABACGrey MABAC is the form of MABAC that works with grey interval numbers. It is used when only the lower and upper bound of criterion values are known and no most-likely point in between can be given. It builds the border approximation area on the intervals, and again ranks the result with a single score.Open the card →
MOORA extensionsGrey MOORAGrey MOORA is the form of MOORA that works with grey (interval grey) numbers when criterion values are known only by a lower and upper bound. It whitenises the bounds and feeds them into the ratio system, again ranking the result by a single net score.Open the card →
GRA extensionsGrey relational analysisGrey GRA is the form of GRA that works with grey numbers when criterion values are known only by a lower and upper bound rather than a single figure. The calculation runs from the midpoint of each cell's bounds, and the result is again ranked by a grey relational grade.Open the card →

Other methods in the library

These methods do not yet have an academy card. Their formulae, steps and source citation live in the library; each link opens the method page directly.

No method without a card remains for this type.