MCDMWeight Subjectivecrisp

Analytic Hierarchy Process

AHP (Analytic Hierarchy Process) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Saaty, T. L. in 1980. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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AHP

AHPSORT APLOCO ARAS AROMAN ARTASI COBRA COCOSO CODAS AHP-BOCR AVERAGE-RANKING

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When to use it

The priority vector entries sum to 1 and represent relative importance. Always inspect CR; if CR > 0.10, revisit the pairwise judgments before using the weights downstream.

Strengths & limitations

Strengths

Follows a transparent, reproducible computational procedure that can be audited step by step.
Handles multiple criteria of differing scales and units within a single decision matrix.

Limitations

May exhibit rank reversal when alternatives are added to or removed from the set.

Sources

Saaty, T. L. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. McGraw-Hill, New York ISBN: 978-0070543713

How to cite this page

ScholarGate. (2026, June 2). Analytic Hierarchy Process. ScholarGate. https://scholargate.app/en/decision-making/ahp

Which method?

Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

AHPSORTDecision-making↔ compare
APLOCODecision-making↔ compare
ARASDecision-making↔ compare
AROMANDecision-making↔ compare
ARTASIDecision-making↔ compare
COBRADecision-making↔ compare
COCOSODecision-making↔ compare
CODASDecision-making↔ compare

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Referenced by

AHP-BOCR AHPSORT APLOCO ARAS AROMAN ARTASI AVERAGE-RANKING BALANCED-SPOTIS BF-COPRAS BF-EDAS BF-MARCOS BF-TOPSIS BF-VIKOR BF-WASPAS BRAUERS-DOMINANCE CF-EDAS CF-MARCOS CF-TOPSIS CF-VIKOR COBRA COCOSO CODAS COMPROMISE-PROGRAMMING CONDORCET COOK-SEIFORD COPRAS CRADIS CUBIC-EDAS CUBIC-TOPSIS CUBIC-VIKOR CUBIC-WASPAS D-TOPSIS DHF-COPRAS DHF-EDAS DHF-TODIM DHF-TOPSIS DHF-VIKOR DNMA DODGSON EDAS ELECTRE ELECTRE-I ELECTRE-II ELECTRE-III ELECTRE-IV ELECTRE-TRI ELECTRE-TRI-B ERVD EVAMIX EXPROM-I EXPROM-II 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 GIS-MCDA GOAL-PROGRAMMING GRA GREY-ARAS GREY-CODAS GREY-COPRAS GREY-EDAS GREY-GRA GREY-MABAC GREY-MARCOS GREY-MOORA GREY-PROJECTION GREY-PROMETHEE GREY-SAW GREY-TODIM GREY-TOPSIS GREY-VIKOR GREY-WASPAS HELLWIG HF-CODAS HF-EDAS HF-MARCOS HF-QUALIFLEX HF-SAW HF-TODIM HF-TOPSIS IF-ARAS IF-COCOSO IF-CODAS IF-COPRAS IF-EDAS IF-GRA IF-MABAC IF-MARCOS IF-MAUT IF-MOORA IF-MULTIMOORA IF-PROMETHEE IF-SAW IF-TODIM IF-TOPSIS IF-VIKOR IF-WASPAS IF-WPM INTERVAL-GRA 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 L2T-CODAS L2T-COPRAS L2T-EDAS L2T-SAW L2T-TODIM L2T-TOPSIS L2T-VIKOR LINMAP LMAW LOCAL-OWA LOCAL-WLC MABAC MAIRCA MARA MARCOS MAUT MEDIAN-RANKING MHF-TOPSIS MOORA MPF-DOMBI-WA MPF-ELECTRE-I MPF-ELECTRE-II MPF-HF-TOPSIS MPF-PROMETHEE MPF-TOPSIS-LING MULTIMOORA N-AROMAN N-CODAS N-COPRAS N-EDAS N-GRA N-MOORA N-MULTIMOORA N-PROMETHEE N-RAFSI N-RAWEC N-SPOTIS N-TODIM N-TOPSIS N-VIKOR N-WPM NAIADE NANSON 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-PROMETHEE 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 PAMSSEM-I PAMSSEM-II PF-ARAS PF-COCOSO PF-CODAS PF-COPRAS PF-EDAS PF-GRA PF-MABAC PF-MARCOS PF-MOORA PF-PROMETHEE PF-SAW PF-TODIM PF-TOPSIS PF-VIKOR PF-WASPAS PF-WPM PHF-COPRAS PHF-EDAS PHF-TOPSIS PHF-VIKOR PIF-ARAS PIF-WASPAS PL-EDAS PL-MABAC PL-MARCOS PL-MULTIMOORA PL-TODIM PL-TOPSIS PL-VIKOR PROB-ARAS PROBID PROMETHEE PROMETHEE-I PROMETHEE-II PROMETHEE-III PROXIMITY-WLC PSI QR-ARAS QR-COCOSO QR-CODAS QR-COPRAS QR-EDAS QR-GRA QR-MABAC QR-MARCOS QR-MOORA QR-PROMETHEE QR-SAW QR-TODIM QR-TOPSIS QR-VIKOR QR-WASPAS QR-WPM QUALIFLEX RAFSI RAM RAPS RAT 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 SF-ARAS SF-COCOSO SF-CODAS SF-COPRAS SF-EDAS SF-GRA SF-MABAC SF-MARCOS SF-MOORA SF-PROMETHEE SF-SAW SF-TODIM SF-TOPSIS SF-VIKOR SF-WASPAS SF-WPM SIR SMART SOWA SPOTIS SPROBID TAXONOMY TIFN-CODAS TODIM TOPSIS TOPSIS-SORT UTASTAR VIKOR WASPAS WEBIRA WEDBA WISP WPM WSM Z-COPRAS Z-EDAS Z-MARCOS Z-PROMETHEE Z-TOPSIS Z-VIKOR Z-WASPAS

Related reference concepts

Decision Making Decision Support Systems Weighted Scores Evaluation Criteria Decision Making Skills Delphi Technique

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Analytic Hierarchy Process

Read the full method

Method map

When to use it

Strengths & limitations

Sources

How to cite this page

Which method?

Referenced by

Similar methods

Related reference concepts

Analytic Hierarchy Process

Read the full method

Method map

When to use it

Strengths & limitations

Sources

How to cite this page

Which method?

Referenced by

Similar methods

Related reference concepts

Analytic Hierarchy Process

Read the full method

Method map

When to use it

Strengths & limitations

Sources

How to cite this page

Related methods

Which method?

Referenced by

Similar methods

Related reference concepts

Analytic Hierarchy Process

Read the full method

Method map

When to use it

Strengths & limitations

Sources

How to cite this page

Related methods

Which method?

Referenced by

Similar methods

Related reference concepts