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Home›Decision-making›LINear programming technique for Multidimensional Analysis of Preference
MCDMRankingcrisp

LINear programming technique for Multidimensional Analysis of Preference

LINMAP (LINear programming technique for Multidimensional Analysis of Preference) is a ranking multi-criteria decision-making (MCDM) method introduced by Srinivasan, V., Shocker, A. D. in 1973. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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LINMAP
AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC

When to use it

LINMAP infers both criterion weights and an ideal point from pairwise preference judgements. It requires no explicit weight elicitation. The closer an alternative is to the inferred ideal (lower D), the better. If the LP is inconsistent (Σ s > 0), some judgements are violated — examine which pairs are most inconsistent.

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
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Sources

  1. Srinivasan, V., Shocker, A. D. (1973). Linear programming techniques for multidimensional analysis of preferences. Psychometrika DOI: 10.1007/BF02291658 ↗

How to cite this page

ScholarGate. (2026, June 2). LINear programming technique for Multidimensional Analysis of Preference. ScholarGate. https://scholargate.app/en/decision-making/linmap

Related methods

AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC

Which method?

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Similar methods

COMPROMISE-PROGRAMMINGAHPGOAL-PROGRAMMINGMAUTPROMETHEE-VLINEAR-MAX-NORMALIZATIONWSMTOPSIS

Related reference concepts

Multidimensional ScalingDecision Support SystemsDecision MakingLinear ProgrammingMultidimensional ScalingWeighted Scores

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

ScholarGate — LINMAP (LINear programming technique for Multidimensional Analysis of Preference). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/linmap · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Srinivasan, V., Shocker, A. D.
Subfamily
Ranking
Year
1973
Type
LP-based ideal point from pairwise preference judgements
Value Space
crisp
Uncertainty
None
Compensation
full
Rank Reversal
No
Related methods
AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC
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