HFLPR-PRIORITY - Hesitant Fuzzy Linguistic Preference Relation Priority Programming (Ren-Zhu-Xu 2018)

Overview

HFLPR-PRIORITY is best suited when decision makers can naturally express preferences as 'alternative A is moderately to strongly preferred over alternative B' using linguistic terms, but find it difficult to provide a single precise term (hence using multiple terms). It avoids the consistency-repair step required by traditional HFLPR methods, making it faster and more preserving of original judgments. The t parameter must be set using Table 6.1 for the given HFLPR order.

Data

Hesitant Fuzzy Linguistic

Weights

Derived internally, no weight source needed

Edge cases and pitfalls

• Using t smaller than min_t from Table 6.1 can make the model infeasible - always check calibration table.

• The method assumes a single decision maker. For group settings, aggregate individual HFLPRs into a group HFLPR before applying the model.

• The consistency condition b^σ(s)_ij ⊕ b^σ(s)_ji = s_{2τ} must hold for all elements; verify before solving.

• HFLPR is not a standard decision matrix - do not confuse with HFS decision matrices used by HFEA or HF-TOPSIS.

Works with

How to cite