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Continuous hesitant fuzzy aggregation operators and their application to decision making under interval-valued
Ding-Hong Peng1, Tie-Dan Wang2, Chang-Yuan Gao3
1Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China ; School of Management, Harbin University of Science and Technology, Harbin 150040, China.
Thescientificworldjournal
|July 3, 2014
Summary
This study introduces new aggregation operators for interval-valued hesitant fuzzy sets (IVHFS) to handle complex membership data. These operators enhance multicriteria decision-making, particularly in evaluating service quality.
Area of Science:
- Fuzzy Set Theory
- Decision Sciences
Background:
- Precise membership degrees are often difficult to ascertain.
- Interval-valued hesitant fuzzy sets (IVHFS) generalize hesitant fuzzy sets, allowing for interval membership values.
Purpose of the Study:
- To develop novel continuous aggregation operators for interval-valued hesitant fuzzy information.
- To extend these operators for multicriteria decision-making (MCDM) problems.
Main Methods:
- Introduction of continuous hesitant fuzzy OWA (C-HFOWA) and C-HFOWG operators.
- Development of weighted, ordered weighted, and synergetic weighted C-HFOW operators.
- Application of a synergetic weighted C-HFOW operator-based approach for MCDM.
Main Results:
- The proposed C-HFOW operators effectively aggregate interval-valued hesitant fuzzy information.
- The synergetic weighted C-HFOW operators provide a robust method for MCDM.
- Demonstrated applicability and effectiveness through a high-tech enterprise service quality evaluation example.
Conclusions:
- The developed aggregation operators offer efficient and effective methods for handling IVHFS data.
- The new approach significantly improves MCDM processes, particularly in complex evaluation scenarios.
- The study validates the practical utility of these advanced fuzzy set aggregation techniques.
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