Journal
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Volume 23, Issue 3, Pages 319-344Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218488515500130
Keywords
group decision making; uncertain linguistic variable; Choquet integral; fuzzy measure; generalized Shapley function
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Funding
- State Key Program of National Natural Science of China [71431006]
- Funds for Creative Research Groups of China [71221061]
- Projects of Major International Cooperation NSFC [71210003]
- National Natural Science Foundation of China [71201089, 71271217, 71201110, 71271029]
- National Science Foundation for Post-doctoral Scientists of China [2014M560655]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
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In this paper, two uncertain linguistic Choquet aggregation operators called the induced uncertain linguistic hybrid generalized Shapley Choquet weighted averaging (IULHGSCWA) operator and the induced uncertain linguistic hybrid generalized Shapley Choquet geometric mean (IULHGSCGM) operator are defined. To reduce the complexity of solving a fuzzy measure, the induced uncertain linguistic hybrid 2-additive generalized Shapley Choquet weighted averaging (IULHAGSCWA) operator and the induced uncertain linguistic hybrid 2-additive generalized Shapley Choquet geometric mean (IULHAGSCGM) operator are presented. When the weight information is incompletely known, models for the optimal fuzzy measures on an expert set, on an attribute set and on their ordered sets are built, respectively. Furthermore, an approach to multi-attribute group decision making under uncertain linguistic environment is developed, which can cope with the interdependent or correlative characteristics between elements. Finally, practical application is selected to illustrate the validity and practicability of the developed procedure.
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