Journal
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY
Volume 23, Issue 2, Pages 296-315Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/20294913.2015.1072755
Keywords
hesitant fuzzy set; multi-criteria decision-making; Heronian mean
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Funding
- China National Natural Science Foundation [71301142]
- Zhejiang Science & Technology Plan of China [2015C33024]
- Zhejiang Provincial Natural Science Foundation of China [LQ13G010004]
- China Postdoctoral Science Foundation [2014M550353]
- National Education Information Technology Research [146242069]
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Among several extensions of fuzzy set theory, the concept introduced by Torra and Narukawa (2009) in defining hesitant fuzzy set is interesting and practical. In this paper we introduce and study new methods for dealing with MCDM (multi-criteria decision making) problems under the hesitant fuzzy environment. First, we propose and discuss the notion of hesitant fuzzy Heronian mean operators. By using these operators, we can portray the relationship of the criteria effectively. Then, the numerical examples are provided and comparative analyses with other aggregation operators are not neglected. Furthermore, the weighted forms of the hesitant fuzzy Heronian mean operators are defined for MCDM problem, based on which, new MCDM methods are proposed. The MCDM methods presented in this paper can provide an effective manner to assist the decision maker in making his/her decision. An example about dormitory construction projection selection is given to show the effectiveness of the proposed method.
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