Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers

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  • Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers Book Detail

  • Author : Zebo Fang
  • Release Date :
  • Publisher : Infinite Study
  • Genre : Mathematics
  • Pages : 12
  • ISBN 13 :
  • File Size : 92,92 MB

Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers by Zebo Fang PDF Summary

Book Description: Existing intuitionistic linguistic variables can describe the linguistic information of both the truth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate and inconsistent linguistic information. To deal with the issue, this paper originally proposes the concept of a linguistic neutrosophic number (LNN), which is characterized independently by the truth, indeterminacy, and falsity linguistic variables. Then, we define the basic operational laws of LNNs and the score and accuracy functions of LNN for comparing LNNs. Next, we develop an LNN-weighted arithmetic averaging (LNNWAA) operator and an LNN-weighted geometric averaging (LNNWGA) operator to aggregate LNN information and investigate their properties. Further, a multiple attribute group decision-making method based on the proposed LNNWAA or LNNWGA operator is established under LNN environment. Finally, an illustrative example about selecting problems of investment alternatives is presented to demonstrate the application and effectiveness of the developed approach.

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This proceedings volume gathers selected papers presented at the Chinese Materials Conference 2017 (CMC2017), held in Yinchuan City, Ningxia, China, on July 06-