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arXiv · 2606.05220

The {\alpha} -Discounting ({\alpha}-DMCDM) as an extension of AHP, TOPSIS, VIKOR, PROMETHEE, and Weighted Sum

Florentin Smarandache
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Abstract

The Analytic Hierarchy Process (AHP) and other classic Multi-Criteria Decision Making (MCDM) techniques excel when decision makers can provide consistent pair wise judgments. Real world problems, however, often involve inconsistent, n-wise, or non-linear preference structures that render traditional methods inadequate. The {\alpha}-Discounting MCDM ({\alpha}-D MCDM) extends AHP by embedding a global discounting parameter {\alpha} that transforms an inconsistent system of preference equations into a solvable algebraic system.

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Florentin Smarandache. 2026-05-29. The {\alpha} -Discounting ({\alpha}-DMCDM) as an extension of AHP, TOPSIS, VIKOR, PROMETHEE, and Weighted Sum. https://arxiv.org/abs/2606.05220

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