The α-Discounting (α-DMCDM) as an extension of AHP, TOPSIS, VIKOR, PROMETHEE, and Weighted Sum

Authors

• Florentin Smarandache

Abstract

This paper presents a comprehensive study of the α-Discounting Multi-Criteria Decision Making (α-D MCDM) method, an extension of the classical Multi-Criteria Decision Making framework designed to address inconsistencies and complex preference structures in decision analysis. Traditional methods such as the Analytic Hierarchy Process (AHP) and related MCDM techniques perform effectively when decision makers provide consistent pairwise comparisons; however, real-world decision problems frequently involve inconsistent, n-wise, interval-valued, or non-linear preference relations that exceed the capabilities of classical approaches. The proposed α-D MCDM method introduces a global discounting parameter α, which transforms inconsistent systems of preference equations into solvable algebraic models while preserving the structural integrity of the original decision framework.

Recommended Citation

Smarandache, Florentin. "The α-Discounting (α-DMCDM) as an extension of AHP, TOPSIS, VIKOR, PROMETHEE, and Weighted Sum." Neutrosophic Sets and Systems 98, 1 (2026). https://digitalrepository.unm.edu/nss_journal/vol98/iss1/15