HF-QUALIFLEX - Hesitant Fuzzy extension of QUALIFLEX

Overview

HF-QUALIFLEX extends QUALIFLEX to hesitant fuzzy environments. It enumerates all m! permutations of alternatives and selects the one with the maximum weighted concordance index, computed via signed distances between HFEs. Best suited for small m (≤ 6 alternatives).

Output

rank, higher is better

Data

Hesitant, hesitant fuzzy sets complete

Weights

Needs a weight source

Size

2+ alternatives, 3-8 criteria works best

Used for

Hesitant Fuzzy MCDM with small alternative sets, multi-criteria evaluation with partial preferences, concordance-based decision analysis

Look elsewhere when

Assumptions to verify

• Number of alternatives m ≤ 6 for tractable permutation enumeration
• HFE membership values strictly in [0,1]
• Reference HFE h_ref defined (typically h={1} for benefit criteria)

Edge cases and pitfalls

• Computational explosion with m > 6 (7! = 5040, 8! = 40320 permutations).

• HFE length equalisation method affects results: pessimistic (min) vs optimistic (max) extension.

Works with

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