Journal
COMPUTERS & INDUSTRIAL ENGINEERING
Volume 105, Issue -, Pages 28-38Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cie.2016.12.046
Keywords
Multiple criteria decision analysis (MCDA); Interval-valued hesitant fuzzy linguistic sets (IVHFLSs); Linguistic scale functions; Shapley fuzzy measures; Generalized Choquet integrals
Funding
- Program for New Century Excellent Talents in University [NCET-13-0037]
- Humanities and Social Sciences Foundation of Ministry of Education of China [14YJA630019]
- Fundamental Research Funds for the Central Universities in UIBE [15QD08]
- China Scholarship Council [201506030031]
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Hesitant fuzzy sets (HFSs) are powerful tools in managing simultaneous sources of vagueness. Inspired by HFSs, interval-valued hesitant fuzzy linguistic sets (IVHFLSs) combine linguistic term sets and interval valued hesitant fuzzy sets (IVHFSs) together to flexibly characterize uncertain information from simultaneous sources. The purpose of this paper is to investigate effective ways to aggregate such uncertain information and then apply them to multiple criteria decision analysis (MCDA). First, two interval valued hesitant fuzzy linguistic Choquet integrals are proposed to characterize the interdependent characteristics between criteria. Then, based on the Shapley fuzzy measures, we develop two kinds of generalized interval-valued hesitant fuzzy linguistic Shapley Choquet integrals to globally characterize interactions between criteria combinations. A model designed to obtain the optimal Shapley fuzzy measures is then constructed. Furthermore, an approach to interval-valued hesitant fuzzy linguistic MCDA is developed based on the proposed aggregation operators. Finally, a numerical example and a detailed discussion are provided to illustrate the application of the proposed approach and to demonstrate its practicality and effectiveness, respectively. (C) 2017 Elsevier Ltd. All rights reserved.
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