Abstract
Hesitant fuzzy sets (HFSs) are a useful tool to manage situations in which the decision makers (DMs) hesitate about several possible values for the membership to assess a variable, alternative, etc. However, HFSs have the information loss problem and cannot identify different DMs, which interferes with the application of HFSs in decision making. To overcome these limitations, we develop the extended hesitant fuzzy sets (EHFSs) in this paper. As an extension of HFSs, EHFSs have close relationships with existing fuzzy sets including intuitionistic fuzzy sets (IFSs), fuzzy multisets (FMSs), type-2 fuzzy sets (T2FSs), dual hesitant fuzzy sets (DHFSs), and especially HFSs. We propose a concept of extended hesitant fuzzy elements (EHFEs), then study the basic operations and the desirable properties of EHFEs in detail. Some extended hesitant distance measures are developed to illustrate their advantages comparing with the existing hesitant distance measures. To extend EHFSs to decision making, we combine the proposed distance measures with the Dempster-Shafer belief structure.
| Original language | English |
|---|---|
| Pages (from-to) | 100-121 |
| Number of pages | 22 |
| Journal | Technological and Economic Development of Economy |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2 Jan 2016 |
| Externally published | Yes |
Keywords
- decision making
- distance measure
- extended hesitant fuzzy elements (EHFEs)
- extended hesitant fuzzy sets (EHFSs)
- hesitant fuzzy elements (HFEs)
- hesitant fuzzy sets (HFSs)