An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment

Nguyen Tho Thong, Luong Thi Hong Lan, Shuo-Yan Chou, Le Hoang Son, Do Duc Dong and Tran Thi Ngan
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Nguyen Tho Thong: VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam
Luong Thi Hong Lan: Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam
Shuo-Yan Chou: Department of Industrial Management, National Taiwan University of Science and Technology, No 43 Section 4; Keelung Rd., Taipei 10607, Taiwan
Le Hoang Son: VNU Information Technology Institute, Vietnam National University, Hanoi 010000, Vietnam
Do Duc Dong: VNU University of Engineering and Technology, Vietnam National University, Hanoi 010000, Vietnam
Tran Thi Ngan: Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi 010000, Vietnam

Mathematics, 2020, vol. 8, issue 3, 1-15

Abstract: Decision-making activities are prevalent in human life. Many methods have been developed to address real-world decision problems. In some practical situations, decision-makers prefer to provide their evaluations over a set of criteria and weights. However, in many real-world situations, problems include a lack of weight information for the times, criteria, and decision-makers (DMs). To remedy such discrepancies, an optimization model has been proposed to determine the weights of attributes, times, and DMs. A new concept related to the correlation measure and some distance measures for the dynamic interval-valued neutrosophic set (DIVNS) are defined in this paper. An extend Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method in the interval-valued neutrosophic set with unknown weight information in dynamic neutrosophic environments is developed. Finally, a practical example is discussed to illustrate the feasibility and effectiveness of the proposed method.

Keywords: dynamic neutrosophic environment; dynamic interval-valued neutrosophic set; unknown weight information (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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