An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator. Issue 2 (25th January 2018)

• Record Type: Journal Article
• Authors: Liu, Bingsheng; Fu, Meiqing; Zhang, Shuibo; Xue, Bin; Zhou, Qi; Zhang, Shiruo
• Is Part Of: International journal of systems science. Volume 49:Issue 2(2018)
• Page Start: 407
• Page End: 424
• Publication Date: 2018-01-25
• Subjects: Multi-attribute group decision-making (MAGDM) -- interval-valued 2-tuple linguistic -- Choquet integral operator -- fuzzy measure; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2017.1407007
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: The Choquet integral (IL) operator is an effective approach for handling interdependence among decision attributes in complex decision-making problems. However, the fuzzy measures of attributes and attribute sets required by IL are difficult to achieve directly, which limits the application of IL. This paper proposes a new method for determining fuzzy measures of attributes by extending Marichal's concept of entropy for fuzzy measure. To well represent the assessment information, interval-valued 2-tuple linguistic context is utilised to represent information. Then, we propose a Choquet integral operator in an interval-valued 2-tuple linguistic environment, which can effectively handle the correlation between attributes. In addition, we apply these methods to solve multi-attribute group decision-making problems. The feasibility and validity of the proposed operator is demonstrated by comparisons with other models in illustrative example part.