Mathematics (Mar 2020)

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,
  • Tran Thi Ngan

DOI
https://doi.org/10.3390/math8030401
Journal volume & issue
Vol. 8, no. 3
p. 401

Abstract

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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