A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications

  • Harish GargEmail author
  • Kamal Kumar
Original Article


The aim of this paper is to give a multi-attribute decision-making (MADM) method for the interval-valued intuitionistic fuzzy (IVIF) set using the set pair analysis (SPA) theory. IVIF set can express the uncertain information in a more valuable manner, while the connection number (CN) based on the “identity,” “discrepancy” and “contrary” degrees of the SPA theory handles the uncertainties and certainties systems. Based on these features, in this paper, we develop a new possibility degree measure based on the CNs to rank the different IVIF numbers. The properties and advantages of the measure are described in details. Later on, we present a novel MADM method and illustrate with several examples to validate it. A comparative as well as superiority analysis is performed to show the feasibility and validity of the approach.


Interval-valued intuitionistic fuzzy set Set pair analysis Connection number Multi-attribute decision-making Possibility measures 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of MathematicsThapar Institute of Engineering and Technology, Deemed UniversityPatialaIndia

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