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🎯 Decision Making1/56

TOPSIS

Technique for Order of Preference by Similarity to Ideal Solution

TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) is a ranking multi-criteria decision-making (MCDM) method introduced by Hwang, C. L., Yoon, K. in 1981. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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190 fields, 6,620 methods

From decision science to spatial analysis — every entry is structured the same way, so you always know where to look.

AHP-BOCR APLOCO ARAS AROMAN ARTASI BALANCED-SPOTIS Best Worst Method with Sorting BF-COPRAS BF-EDAS BF-MARCOS BF-TOPSIS BF-VIKOR BF-WASPAS BWM-ZNUMBER-GAME By-Production Technology DEA CF-EDAS CF-MARCOS CF-TOPSIS CF-VIKOR COBRA COCOSO CODAS COMET COMPROMISE-PROGRAMMING CONSENSUS-REACHING COPRAS CRADIS CRITERIA-REMOVAL CRITIC-M CROSS-VALIDATION CUBIC-EDAS CUBIC-TOPSIS CUBIC-VIKOR CUBIC-WASPAS D-TOPSIS DEA-SBM DEA-SUPEREFF DHF-COPRAS DHF-EDAS DHF-TODIM DHF-TOPSIS DHF-VIKOR DNMA EDAS ELECTRE-II ELECTRE-III ELECTRE-IV Epsilon-Based Measure DEA ERVD EVAMIX FDOSM FF-ARAS FF-COCOSO FF-CODAS FF-COPRAS FF-EDAS FF-GRA FF-MABAC FF-MARCOS FF-MOORA FF-SAW FF-TODIM FF-TOPSIS FF-VIKOR FF-WASPAS FF-WPM FMEA FUCA FUZZY-ARAS FUZZY-AROMAN FUZZY-COCOSO FUZZY-CODAS FUZZY-COPRAS FUZZY-DNMA FUZZY-EDAS FUZZY-FMEA-DEA FUZZY-INFORMATION-AXIOM FUZZY-MABAC FUZZY-MARCOS FUZZY-MAUT FUZZY-MOORA FUZZY-MULTIMOORA FUZZY-OCRA FUZZY-PSI FUZZY-RAFSI FUZZY-RAWEC FUZZY-ROV FUZZY-SAW FUZZY-SPOTIS FUZZY-TODIM FUZZY-TOPSIS FUZZY-TOPSIS-CHEN2000 FUZZY-VIKOR FUZZY-WASPAS FUZZY-WISP FUZZY-WPM GOAL-PROGRAMMING GRA GREY-ARAS GREY-CODAS GREY-COPRAS GREY-EDAS GREY-GRA GREY-MABAC GREY-MARCOS GREY-MOORA GREY-PROJECTION GREY-SAW GREY-TODIM GREY-TOPSIS GREY-VIKOR GREY-WASPAS HELLWIG HF-ARAS HF-CODAS HF-COPRAS HF-DFT HF-EDAS HF-GRA HF-MABAC HF-MARCOS HF-MOORA HF-SAW HF-TODIM HF-TOPSIS HF-VIKOR HF-WASPAS HFL-CODAS HFL-MABAC IF-ARAS IF-COCOSO IF-CODAS IF-COPRAS IF-DFT IF-EDAS IF-GRA IF-MABAC IF-MARCOS IF-MAUT IF-MOORA IF-MULTIMOORA IF-SAW IF-TODIM IF-TOPSIS IF-VIKOR IF-WASPAS IF-WPM INTERVAL-GRA IR-CODAS IV-ARAS IV-CODAS IV-COPRAS IV-EDAS IV-MARCOS IV-MOORA IV-PROJECTION IV-SAW IV-TODIM IV-TOPSIS IV-VIKOR IV-WASPAS IVIF-ARAS IVIF-COPRAS IVIF-MABAC IVIF-TODIM IVIF-VIKOR IVN-MULTIMOORA KEMIRA L2T-CODAS L2T-COPRAS L2T-EDAS L2T-MULTIMOORA L2T-SAW L2T-TODIM L2T-TOPSIS L2T-VIKOR Lexicographic Best Worst Method Lexicographic Goal Programming LINMAP LMAW LOCAL-OWA LOCAL-WLC LOPM LPF-EDAS MABAC MACONT MAIRCA MARA MARCOS MAUT MEREC-G MHF-TOPSIS MONTE-CARLO-SIMULATION MOORA MOOSRA MPF-HF-TOPSIS MPF-TOPSIS-LING MULTIMOORA N-ARAS N-AROMAN N-COCOSO N-CODAS N-COPRAS N-DNMA N-EDAS N-GRA N-MABAC N-MARCOS N-MOORA N-MULTIMOORA N-PSI N-RAFSI N-RAWEC N-SPOTIS N-TODIM N-TOPSIS N-VIKOR N-WASPAS N-WISP N-WPM NAIADE Non-linear Best Worst Method NSS-CODAS OCRA Ordinal Priority Approach ORESTE OWA P-ARAS P-AROMAN P-COCOSO P-CODAS P-COPRAS P-DNMA P-EDAS P-GRA P-MABAC P-MARCOS P-MAUT P-MOORA P-MULTIMOORA P-OCRA P-PSI P-RAFSI P-RAWEC P-ROV P-SAW P-SPOTIS P-TODIM P-TOPSIS P-VIKOR P-WASPAS P-WISP P-WPM PAM PF-ARAS PF-COCOSO PF-CODAS PF-COPRAS PF-EDAS PF-GRA PF-MABAC PF-MARCOS PF-MOORA PF-SAW PF-TODIM PF-TOPSIS PF-VIKOR PF-WASPAS PF-WPM PHF-COPRAS PHF-EDAS PHF-TOPSIS PHF-VIKOR PHFS-EHVAR PHFS-HVAR PIF-ARAS PIF-ARTASI PIF-CODAS PIF-COPRAS PIF-EDAS PIF-MARCOS PIF-MOORA PIF-SAW PIF-TODIM PIF-TOPSIS PIF-VIKOR PIF-WASPAS PIV PL-EDAS PL-MABAC PL-MARCOS PL-MULTIMOORA PL-TODIM PL-TOPSIS PL-VIKOR PROB-ARAS PROBID PROMETHEE-GAIA PROMETHEE-I PROMETHEE-V PROMETHEE-VI PROSA-C PROXIMITY-WLC PSI QR-ARAS QR-COCOSO QR-CODAS QR-COPRAS QR-EDAS QR-GRA QR-MABAC QR-MARCOS QR-MOORA QR-SAW QR-TODIM QR-TOPSIS QR-VIKOR QR-WASPAS QR-WPM QUALIFLEX RAFSI RAM RANK-REVERSAL RAPS RAWEC REGIME RIM ROUGH-ARAS ROUGH-COPRAS ROUGH-DRSA ROUGH-EDAS ROUGH-MABAC ROUGH-MARCOS ROUGH-MOORA ROUGH-SAW ROUGH-TODIM ROUGH-TOPSIS ROUGH-VIKOR ROUGH-WASPAS ROV SAW SECA SENSITIVITY-ANALYSIS SF-ARAS SF-COCOSO SF-CODAS SF-COPRAS SF-EDAS SF-GRA SF-MABAC SF-MARCOS SF-MOORA SF-SAW SF-TODIM SF-TOPSIS SF-VIKOR SF-WASPAS SF-WPM SIMUS SMAA SMAA2 SMART SNHF-TOPSIS SOWA SPOTIS SPROBID STOCHASTIC-UTA Stratified Best Worst Method SWARA II TAXONOMY TIFN-CODAS TODIM TOPSIS TVN-MULTIMOORA UTA UTASTAR VIKOR VIKOR-SMAA WASPAS WEBIRA WEDBA WEIGHT-SENSITIVITY WEIGHTED-VOTING WINGS WISP WPM WSM Z-COPRAS Z-EDAS Z-MARCOS Z-PROMETHEE Z-TOPSIS Z-VIKOR Z-WASPAS ZF-CRADIS ELECTRE ELECTRE-I EXPROM-I EXPROM-II FF-PROMETHEE FUZZY-ELECTRE-I FUZZY-ELECTRE-II FUZZY-ELECTRE-III FUZZY-PROMETHEE GREY-PROMETHEE HF-ELECTRE-I HF-ELECTRE-II HF-QUALIFLEX HFL-PROMETHEE IF-PROMETHEE MPF-ELECTRE-I MPF-ELECTRE-II MPF-ELECTRE-III MPF-ELECTRE-IV MPF-PROMETHEE N-PROMETHEE P-PROMETHEE PAMSSEM-I PAMSSEM-II PF-ELECTRE-II PF-PROMETHEE PROMETHEE PROMETHEE-II PROMETHEE-III QR-PROMETHEE SF-PROMETHEE SIR AHP ANP B-WENSLO BWM BWM-BAYESIAN CIMAS DANP DELPHI DEMATEL DIBR F-LMAW FUCOM FUCOM-F FUZZY-AHP FUZZY-BWM FUZZY-DELPHI FUZZY-SIWEC HF-AHP HFL-AHP LBWA MACBETH PIF-CIMAS PIPRECIA REVISED-SIMOS ROC-WEIGHT SIWEC SMART-WEIGHT SWARA SWING AVERAGE-RANKING BORDA BRAUERS-DOMINANCE CHOQUET-INTEGRAL CONDORCET COOK-SEIFORD COPELAND DODGSON KEMENY-YOUNG MEDIAN-RANKING MPF-DOMBI-WA NANSON PIF-DOMBI RAT SCHULZE WAM CCSD CILOS CRITIC ENTROPY FARE GINI-WEIGHT IDOCRIW IF-ENTROPY LODECI LOPCOW MEREC MPSI NMD PCA-WEIGHT SD-WEIGHT WENSLO DEA DEA-BCC DEA-CROSSEFF DEA-DYNAMIC-NETWORK DEA-ENV DEA-NETWORK DEA-NETWORK-SBM DEA-RAM HFEA HFGPE HFPE HFPEA AHPSORT DRSA ELECTRE-TRI ELECTRE-TRI-B ELECTRE-TRI-C FLOWSORT IF-CODAS-SORT IVIF-CODAS-SORT TOPSIS-SORT UTADIS CFZN-MARCOS DIST-CHEBYSHEV DIST-EUCLIDEAN DIST-HAMMING DIST-MANHATTAN DIST-MINKOWSKI MAHALANOBIS-DISTANCE SFZN-CRADIS SFZN-MARCOS BONFERRONI-MEAN Data-Driven MCDA HERONIAN-MEAN Maclaurin Symmetric Mean Operator POWER-MEAN WGM WHM DEFUZZ-ALPHA-CUT DEFUZZ-BISECTOR DEFUZZ-CENTROID DEFUZZ-CENTROID-GAUSSIAN DEFUZZ-MOM DEFUZZ-SCORE-IFN DEFUZZ-TYPE-REDUCTION LINEAR-MAX-NORMALIZATION LINEAR-SUM-NORMALIZATION LOGARITHMIC-NORMALIZATION MIN-MAX-NORMALIZATION NORM-VECTOR VECTOR-NORMALIZATION Z-SCORE-NORMALIZATION Bradley-Terry Model Elo Rating Plackett-Luce Model Rank Aggregation TrueSkill SAPEVO-M SFZN-CRITIC Z-AHP Z-BWM ZF-LMAW TNORM-EINSTEIN TNORM-FRANK TNORM-HAMACHER TNORM-SCHWEIZER-SKLAR AHSPR HFLPR-PRIORITY Canberra Distance Cosine Distance HF-MAXSCORE-PORT HF-TRADEOFF-PORT Jensen-Shannon Divergence Kullback-Leibler Divergence BN-ELECTRE-I BN-TOPSIS Bray-Curtis Dissimilarity CFZN-WASPAS Dynamic Time Warping Gower Distance Haversine Distance Hellinger Distance Levenshtein Distance PIF-CIMAS-ARTASI Sorensen-Dice Coefficient

What every page gives you

Built like a method monograph

Each entry follows the same rigorous structure — so a method you've never seen reads as clearly as one you know by heart.

Definition & tagsA one-sentence definition plus family, data type and assumptions at a glance.

How it worksStep-by-step formulation, formulas transcribed faithfully from the seminal paper.

When to use / avoidConcrete fit cases and the alternatives to reach for when it doesn't fit.

Worked exampleA small, real decision matrix run end-to-end with the resulting ranking.

SourceFull citation with DOI or ISBN — every claim traceable to its origin.

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Every method traces back to the paper or book that introduced it — cited with DOI or ISBN, never paraphrased from memory.

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An expanding catalogue across 190 fields, structured for multilingual delivery and continuous review.

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