Skip to contentScholarGate
LibraryBookshelfDeskReview StudioAssistant
Sign in
On this page
IntuitionHow it worksWhen to use itStrengths & limitations🔒 Read the full methodSources
Cite this pageSpotted an issue on this page? Report or suggest a fix →
Home›Decision-making›Weighted Harmonic Mean
MCDMAggregationcrisp

Weighted Harmonic Mean

WHM (Weighted Harmonic Mean) is a aggregation multi-criteria decision-making (MCDM) method introduced by Bullen, P. S. Mitrinović, D. S. Vasić, P. M. in 1988. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

ScholarGate
  1. MCDM
  2. v1
  3. 1 Sources
  4. PUBLISHED
Cite this page →
Tools & resources
Download slides
Learn & explore

Read the full method

Members only

Sign in with a free account to read this section.

Sign in

When to use it

Higher WHM score indicates better aggregated performance. Penalises low values more harshly than AM.

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
  • Results depend on the chosen normalisation, weights, and parameter settings.

Sources

  1. Bullen, P. S., Mitrinović, D. S., Vasić, P. M. (1988). Means and Their Inequalities. D. Reidel Publishing (Springer) DOI: 10.1007/978-94-017-2226-1 ↗

How to cite this page

ScholarGate. (2026, June 2). Weighted Harmonic Mean. ScholarGate. https://scholargate.app/en/decision-making/whm

Similar methods

WAMPOWER-MEANWGMHERONIAN-MEANBONFERRONI-MEANWSMOWADIST-MINKOWSKI

Related reference concepts

Weighted ScoresDecision Support SystemsScoring FormulasEvaluation CriteriaDecision MakingApplied Mathematics

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

ScholarGate — WHM (Weighted Harmonic Mean). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/whm · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Bullen, P. S. Mitrinović, D. S. Vasić, P. M.
Subfamily
Aggregation
Year
1988
Type
Mean-based aggregation operator — harmonic
Value Space
crisp
Uncertainty
None
Compensation
partial
Rank Reversal
No
ScholarGate

A content-first reference library for research methods — what each one is, how it works, and where it comes from.

Open data (CC-BY)

Explore

  • Library
  • Search the library…
  • Browse by field
  • Fields
  • Journey
  • Compare
  • Which method?

Reference

  • Subjects
  • Atlas
  • Glossary
  • Methodology
  • Philosophy

Your tools

  • Bookshelf
  • Desk
  • Chat

Company

  • About
  • Pricing
  • Contact
  • Suggest a method

Entries are compiled from published sources for reference. Verifying the accuracy and suitability of any information for your own use remains your responsibility.

© 2026 ScholarGate · A research-method reference library
  • Privacy
  • Cookies
  • Terms
  • Delete account