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Similarity measure on incomplete imprecise interval information and its applications

  • V. Lakshmana Gomathi Nayagam
  • Dhanasekaran PonnialaganEmail author
  • S. Jeevaraj
Original Article
  • 77 Downloads

Abstract

The concept of fuzzy numbers has been generalized to intuitionistic fuzzy interval numbers (IFINs) to solve problems with imprecision in the information modeling. Similarity measure is an important tool to measure the degree of resemblance between any two objects in real-life situations and is applied in many areas such as decision making, image processing, pattern recognition, etc. In this paper, a new distance-based similarity measure between IFINs is proposed using which a similarity measure on incomplete imprecise interval information is attempted. Some properties of the proposed distance measure and similarity measure are studied using illustrative examples. The nominal decreasing and increasing properties based on the proposed distance measure and similarity measure are proved. Further, the superiority of the proposed similarity measure over familiar existing methods is shown by different numerical examples and the proposed measure is applied to technique for order preference by similarity to ideal solution method under interval-valued intuitionistic fuzzy environment. Finally, the applicability of the proposed method in pattern recognition problems is illustrated.

Keywords

Interval-valued intuitionistic fuzzy number Similarity measure TOPSIS method Pattern recognition 

Notes

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 London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • V. Lakshmana Gomathi Nayagam
    • 1
  • Dhanasekaran Ponnialagan
    • 2
    Email author
  • S. Jeevaraj
    • 3
  1. 1.Department of MathematicsNational Institute of TechnologyTiruchirappalliIndia
  2. 2.Department of MathematicsKoneru Lakshmaiah Education FoundationVaddeswaram, GunturIndia
  3. 3.ABV-Indian Institute of Information Technology and ManagementGwaliorIndia

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