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TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment

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Abstract

The objective of this paper is to focus on multi-attribute decision-making for interval-valued intuitionistic fuzzy set environment based on set pair analysis (SPA). For it, the major component of the SPA known as connection number has been constructed based on the set pairs between two preference values consists of every attribute and ideal pairs of it. Based on these connection numbers, an extension of technique for order of preference by similarity to ideal solution method is developed by combining the proposed connection number for IVIFSs and hence finding the best alternative(s) using relative degree of closeness coefficient. An illustrative example has been given for demonstrating the approach and compares their performance with some existing measures.

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Author information

Correspondence to Harish Garg.

Additional information

Communicated by Rosana Sueli da Motta Jafelice.

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Cite this article

Kumar, K., Garg, H. TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Comp. Appl. Math. 37, 1319–1329 (2018). https://doi.org/10.1007/s40314-016-0402-0

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Keywords

  • Set pair analysis
  • Connection number
  • Interval-valued intuitionistic fuzzy set
  • Decision-making

Mathematics Subject Classification

  • 03B52
  • 03E72
  • 90B50
  • 90C70