Bipolar Neutrosophic TOPSIS
BN-TOPSIS (Bipolar Neutrosophic TOPSIS) is a topsis family multi-criteria decision-making (MCDM) method introduced by Akram, M., Shumaiza, Smarandache, F. in 2018. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
BN-TOPSIS ranks alternatives in ascending order of the inferior ratio IR(i). The alternative with IR=0 (or minimum IR) is the best. The method uses a revised closeness degree instead of the classical TOPSIS coefficient to avoid division-by-zero when an alternative coincides with an ideal solution. BN-TOPSIS can handle bipolar information — each criterion is evaluated both positively (degree of satisfaction) and negatively (degree of dissatisfaction with respect to an implicit counter-property).
Strengths & limitations
- 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.
- May exhibit rank reversal when alternatives are added to or removed from the set.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Akram, M., Shumaiza, Smarandache, F. (2018). Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I. Axioms DOI: 10.3390/axioms7020033 ↗
How to cite this page
ScholarGate. (2026, June 2). Bipolar Neutrosophic TOPSIS. ScholarGate. https://scholargate.app/en/decision-making/bn-topsis