HF-CODAS - Hesitant extension of HF-CODAS

Overview

hf-codas extends HF-CODAS to handle Hesitant uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Hesitant Fuzzy Element (HFE: set of possible membership degrees) algebra. The final scores are defuzzified via envelope: (min + max)/2, or mean of all values before ranking.

Output

utility, higher is better

Data

Hesitant, uncertainty tuples complete

Weights

Needs a weight source

Size

2+ alternatives, 3-10 criteria works best

Used for

Hesitant Fuzzy MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms

Look elsewhere when

Assumptions to verify

• Decision matrix entries are valid Hesitant Fuzzy numbers/tuples
• Underlying crisp method's compensation assumption holds in uncertain space
• All decision-maker(s) and experts use the same linguistic/uncertainty scale

Edge cases and pitfalls

• Value-space violation: ensure all entries satisfy HFE: non-empty finite set of values in [0,1] before computation.

• Defuzzification method affects ranking: envelope: (min + max)/2, or mean of all values is the canonical choice but alternatives exist.

Works with

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