Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment

  • Qing Shen
  • Xu Huang
  • Yong Liu
  • Yunliang JiangEmail author
  • Keqin Zhao
Methodologies and Application


A new multiattribute decision-making (MADM) methodology based on set pair analysis (SPA) for an interval-valued intuitionistic fuzzy set environment is developed in this paper. The connection number, which is known as a major component of SPA, provides a quantitative analysis to integrate the certainty and uncertainty as a combined system. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets (IVIFS) and the binary connection number (BCN). Then, the transformation method of interval-valued intuitionistic fuzzy numbers into BCNs is studied. Finally, we present a new MADM method where interval-valued intuitionistic fuzzy values are used to express evaluating values of alternatives on attributes, and weights are represented with real numbers or IVIFS. Some typical examples are presented to illustrate the feasibility and validity of the proposed approach.


Multiattribute decision making Interval-valued intuitionistic fuzzy sets Set pair analysis Binary connection numbers 



This work was supported in part by National Natural Science Foundation of China (61771193, 61802123) and the Science and Technology Major Project of Zhejiang Province (2017C03047).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Information EngineeringHuzhou UniversityHuzhouChina
  2. 2.Institute of Cyber-Systems and ControlZhejiang UniversityHangzhouChina
  3. 3.Institute of Connection mathematicsZhujiChina

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