Ranking Triangular Fuzzy Numbers Using Fuzzy Set Inclusion Index

  • Azedine Boulmakoul
  • Mohamed Haitam Laarabi
  • Roberto Sacile
  • Emmanuel Garbolino
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8256)


In this paper, an original ranking operator is introduced for Triangular Fuzzy Numbers. The purpose is to elaborate fast and efficient algorithms dealing with complicated operations and big data in fuzzy decision-making. The proposed ranking operator takes advantage of the topological relationship of two triangles, besides the Inclusion Index concept — which is an index indicating the Degree of Inclusion in the MIN of two Fuzzy Numbers, a way to approach the ”strongly included in”. Consequently, the ranking result can mostly be deduced directly, allowing an efficient ranking process.


Fuzzy Ranking Triangular Fuzzy Numbers Inclusion Index Degree of Inclusion Decision Making 


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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Azedine Boulmakoul
    • 1
  • Mohamed Haitam Laarabi
    • 2
  • Roberto Sacile
    • 2
  • Emmanuel Garbolino
    • 3
  1. 1.LIM/IST Lab., Computer Sciences DepartmentMohammedia Faculty of Sciences and Technology (FSTM)Morocco
  2. 2.Department of Computer science, Bioengineering, Robotics and Systems Engineering (DIBRIS)University of GenoaItaly
  3. 3.Crisis Research Centre (CRC)Mines ParisTechSophia AntipolisFrance

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