Models for decision making problems with hesitant fuzzy information

Article type: Research Article

Authors: Zhang, Yi

Affiliations: School of Humanities and Information Management, Chengdu Medical College, Chengdu, China

Note: [] Corresponding author. Yi Zhang, School of Humanities and Information Management, Chengdu Medical College, Chengdu 610083, China, Tel.: +86 1051963875; Fax: +86 1080796904; E-mail: [email protected]

Abstract: We investigate the decision making problems with hesitant fuzzy information. Firstly, some operational laws of hesitant fuzzy elements and score function of hesitant fuzzy elements are introduced. Then, we have developed two induced generalized hesitant fuzzy aggregation operators: induced generalized hesitant fuzzy choquet ordered averaging (IGHFCOA) operator and induced generalized hesitant fuzzy choquet ordered geometric (IGHFCOG) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the IGHFCOA and IGHFCOG operators to decision making problems for five kinds of Protein's nutritional assessment with hesitant fuzzy information. Finally an illustrative example has been given to show the developed method.

Keywords: Decision making, hesitant fuzzy elements, induced generalized hesitant fuzzy choquet ordered averaging (IGHFCOA) operator, induced generalized hesitant fuzzy choquet ordered geometric (IGHFCOG) operator, protein's nutritional assessment

DOI: 10.3233/IFS-131042

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 839-847, 2014