Expert Estimates Averaging by Constructing Intuitionistic Fuzzy Triangles

Aleksandras Krylovas, Natalja Kosareva

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Abstract: The problem of ranking (sorting) of m alternatives is considered when experts evaluate each alternative according to k criteria. Functions of arithmetic and geometric averages are constructed for decision making. We present a generalization of this scheme when there are evaluation matrices of several experts and this information is aggregated in the form of triangular intuitionistic fuzzy numbers. Fuzzy triangles were constructed with different uncertainty levels, experts decision matrices and the number of experts varied from 2 to 5. Moreover, method for construction of experts decision probability matrices is proposed in the paper. Ranking results obtained by performing Monte Carlo simulations. Probabilities of errors are compared for arithmetic, geometric, fuzzy arithmetic and fuzzy geometric averages.

Original languageEnglish
Pages (from-to)409-421
Number of pages13
JournalMathematical Modelling and Analysis
Volume20
Issue number3
DOIs
Publication statusPublished - May 4 2015

Fingerprint

Averaging
Triangle
Estimate
Ranking
Sorting
Fuzzy Arithmetic
Decision making
Alternatives
Fuzzy numbers
Triangular
Monte Carlo Simulation
Decision Making
Uncertainty
Evaluate
Evaluation
Monte Carlo simulation

Keywords

  • intuitionistic fuzzy numbers
  • Monte Carlo simulations
  • multiple criteria decision making

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

Cite this

Expert Estimates Averaging by Constructing Intuitionistic Fuzzy Triangles. / Krylovas, Aleksandras; Kosareva, Natalja.

In: Mathematical Modelling and Analysis, Vol. 20, No. 3, 04.05.2015, p. 409-421.

Research output: Contribution to journalArticle

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