Journal
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
Volume 7, Issue 6, Pages 1147-1193Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-015-0445-3
Keywords
Multiple attribute group decision making; Interval-valued dual hesitant fuzzy linguistic set; Generalized aggregation operators; Power aggregation operators
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Funding
- China Scholarship Council
- National Science Foundation of China [71201145, 71271072, 71331002]
- Research Fund for the Doctoral Program of Higher Education of China [20110111110006]
- Social Science Foundation of Ministry of Education of China [11YJC630283]
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This paper aims to investigate the type of fuzzy multiple attribute group decision making (MAGDM) where arguments being aggregated are allowed to support each other. In order to enable decision makers to express their preferences more comprehensively, we firstly put forward a hybrid tool, an interval-valued dual hesitant fuzzy linguistic set (IVDHFLS), which employs interval-valued hesitant membership and nonmembership degrees to assess linguistic terms. Basic operational laws for IVDHFLS are discussed, also a distance measure is designed to overcome irrationality in traditional methodology for hesitant fuzzy sets, i.e., artificially adding values to mismatching membership or nonmembership degrees. We next develop fundamental generalized power average aggregation operators for IVDHFLS, including power average operator, power geometric average operator, power ordered weighted average operator and power ordered weighted geometric average operator. Desirable properties and special cases of these aggregation operators are further analyzed. Furthermore, based on the generalized operators above, we construct two approaches for MAGDM with mutually supportive arguments being aggregated under intervalvalued dual hesitant fuzzy linguistic environments. Finally, case studies are conducted to verify effectiveness and practicality of the developed approaches.
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