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Home›Decision-making›Fuzzy AHP — Fuzzy extension of the Analytic Hierarchy Process
MCDMWeight SubjectiveFuzzy TFN

Fuzzy AHP — Fuzzy extension of the Analytic Hierarchy Process

FUZZY-AHP (Fuzzy AHP — Fuzzy extension of the Analytic Hierarchy Process) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Van Laarhoven, P. J. M., Pedrycz, W. in 1983. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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FUZZY-AHP
FUZZY-ARASFUZZY-AROMANFUZZY-COCOSOFUZZY-CODASFUZZY-COPRASFUZZY-DNMAFUZZY-EDASFUZZY-ELECTRE-IAHP-BOCRDEFUZZ-ALPHA-CUT

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When to use it

Fuzzy AHP elicits criterion weights from triangular fuzzy pairwise judgments. Engine default implements Chang (1992, 1996) extent analysis: synthetic extent S_i for each row, degree of possibility V(S_i ≥ S_j) for each pair, then crisp priority via the minimum possibility values normalized. Switch variant via D.variant parameter to use Buckley 1985 (geometric mean), Van Laarhoven-Pedrycz 1983 (logarithmic least squares), or Cheng 1996 (entropy-based).

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

  1. Van Laarhoven, P. J. M., Pedrycz, W. (1983). A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems DOI: 10.1016/S0165-0114(83)80082-7 ↗

How to cite this page

ScholarGate. (2026, June 2). Fuzzy AHP — Fuzzy extension of the Analytic Hierarchy Process. ScholarGate. https://scholargate.app/en/decision-making/fuzzy-ahp

Related methods

FUZZY-ARASFUZZY-AROMANFUZZY-COCOSOFUZZY-CODASFUZZY-COPRASFUZZY-DNMAFUZZY-EDASFUZZY-ELECTRE-I

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.

  • FUZZY-ARASDecision-making↔ compare
  • FUZZY-AROMANDecision-making↔ compare
  • FUZZY-COCOSODecision-making↔ compare
  • FUZZY-CODASDecision-making↔ compare
  • FUZZY-COPRASDecision-making↔ compare
  • FUZZY-DNMADecision-making↔ compare
  • FUZZY-EDASDecision-making↔ compare
  • FUZZY-ELECTRE-IDecision-making↔ compare
Compare side by side →

Referenced by

AHP-BOCRDEFUZZ-ALPHA-CUTDEFUZZ-BISECTORDEFUZZ-CENTROIDDEFUZZ-CENTROID-GAUSSIANDEFUZZ-MOMFUZZY-ARASFUZZY-AROMANFUZZY-COCOSOFUZZY-CODASFUZZY-COPRASFUZZY-DNMAFUZZY-EDASFUZZY-ELECTRE-IFUZZY-ELECTRE-IIFUZZY-ELECTRE-IIIFUZZY-FMEA-DEAFUZZY-INFORMATION-AXIOMFUZZY-MABACFUZZY-MARCOSFUZZY-MAUTFUZZY-MOORAFUZZY-MULTIMOORAFUZZY-OCRAFUZZY-PROMETHEEFUZZY-PSIFUZZY-RAFSIFUZZY-RAWECFUZZY-ROVFUZZY-SAWFUZZY-SPOTISFUZZY-TODIMFUZZY-TOPSISFUZZY-TOPSIS-CHEN2000FUZZY-VIKORFUZZY-WASPASFUZZY-WISPFUZZY-WPMZF-CRADIS

Similar methods

FUZZY-PROMETHEEHFL-AHPAHPFUZZY-VIKORFUZZY-DELPHIHF-AHPFUZZY-WASPASFUZZY-COPRAS

Related reference concepts

Decision MakingDecision Support SystemsWeighted ScoresDelphi TechniqueParticipative Decision MakingHierarchical Cluster Analysis

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — FUZZY-AHP (Fuzzy AHP — Fuzzy extension of the Analytic Hierarchy Process). Retrieved 2026-07-20 from https://scholargate.app/en/decision-making/fuzzy-ahp · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Van Laarhoven, P. J. M., Pedrycz, W.
Subfamily
Weight Subjective
Year
1983
Type
Pairwise comparison with Triangular Fuzzy Number (TFN: l, m, u) judgments — umbrella over Van Laarhoven-Pedrycz 1983, Buckley 1985, Chang 1992 extent analysis, Cheng 1996 entropy-based
Value Space
Fuzzy TFN
Uncertainty
epistemic
Compensation
N/A
Rank Reversal
Yes
Related methods
FUZZY-ARASFUZZY-AROMANFUZZY-COCOSOFUZZY-CODASFUZZY-COPRASFUZZY-DNMAFUZZY-EDASFUZZY-ELECTRE-I
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