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Neural Computing and Applications

, Volume 31, Issue 4, pp 1023–1039 | Cite as

Correlation measure of hesitant fuzzy soft sets and their application in decision making

  • Sujit Das
  • Debashish Malakar
  • Samarjit KarEmail author
  • Tandra Pal
Original Article

Abstract

Hesitant fuzzy soft set (HFSS) allows each element to have different number of parameters and the values of those parameters are represented by multiple possible membership values. HFSS is considered as a powerful tool to represent uncertain information in group decision-making process. In this study, we introduce the concept of correlation coefficient for HFSS and some of its properties. Using correlation coefficient of HFSS, we develop correlation efficiency which shows the significance of the HFSS. We also propose an algorithm to apply correlation coefficient in decision-making problem, where information is presented in hesitant fuzzy environment. In order to extend the application of HFSS, we propose correlation coefficient in the framework of interval-valued hesitant fuzzy soft set (IVHFSS). We also introduce correlation efficiency in the context of IVHFSS. Then the proposed algorithm is extended using IVHFSS for solving decision-making problems. Finally, two examples that are semantically meaningful in real life are illustrated to show the effectiveness of the proposed algorithms.

Keywords

HFSS IVHFSS Correlation coefficient Correlation efficiency GDM 

Notes

Compliance with ethical standards

Conflict of interest

We declare that the authors have no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Sujit Das
    • 1
  • Debashish Malakar
    • 2
  • Samarjit Kar
    • 3
    Email author
  • Tandra Pal
    • 4
  1. 1.Department of Computer Science and EngineeringDr. B. C. Roy Engineering CollegeDurgapurIndia
  2. 2.Department of Computer ApplicationAsansol Engineering CollegeAsansolIndia
  3. 3.Department of MathematicsNational Institute of TechnologyDurgapurIndia
  4. 4.Department of Computer Science and EngineeringNational Institute of TechnologyDurgapurIndia

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