A New Method of Multiattribute Decision-Making Based on Interval-Valued Hesitant Fuzzy Soft Sets and Its Application. (30th July 2017)

• Record Type: Journal Article
• Authors: Yang, Yan; Lang, Lei; Lu, Liuli; Sun, Yangmei
• Other Names: Massa Franck Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-07-30
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/9376531
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Combining interval-valued hesitant fuzzy soft sets (IVHFSSs) and a new comparative law, we propose a new method, which can effectively solve multiattribute decision-making (MADM) problems. Firstly, a characteristic function of two interval values and a new comparative law of interval-valued hesitant fuzzy elements (IVHFEs) based on the possibility degree are proposed. Then, we define two important definitions of IVHFSSs including the interval-valued hesitant fuzzy soft quasi subset and soft quasi equal based on the new comparative law. Finally, an algorithm is presented to solve MADM problems. We also use the method proposed in this paper to evaluate the importance of major components of the well drilling mud pump.