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Comparison of proposed fuzzy set theory with existing fuzzy theories.
| Membership function | Hesitancy Membership Function | Hesitant Membership and Non- Membership Function | Inference | |
|---|---|---|---|---|
| Fuzzy | Yes | No | No | No Hesitancy incorporated in decision making. |
| Hesitant Fuzzy Set | Yes | Yes | No | Hesitancy incorporated in decision making. |
| Interval Valued Intuitionistic Hesitant Fuzzy Set(Proposed) | Yes | Yes | Yes | Broad range of hesitancy in terms of membership and non-membership incorporated in decision making. |
