10.71932/ijm.2024.1081317

Evaluating MBTs Using Fuzzy Measure and Fuzzy Integral

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  • Saeed Sarabadan*1,
  1. Department of Mathematics, Imam Hossein University, Tehran, Iran.

Received: 31-07-2024

Accepted: 30-11-2024

Published in Issue 04-12-2024

Copyright (c) 2025 International Journal of Mathematical Modeling & Computations

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Sarabadan, S. (2024). Evaluating MBTs Using Fuzzy Measure and Fuzzy Integral. International Journal of Mathematical Modelling & Computations, 14(4), 335-345. https://doi.org/10.71932/ijm.2024.1081317
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Abstract

This paper presents an evaluation model based on the fuzzy analytic hierarchy process and fuzzy integral where the vagueness and subjectivity are handled with linguistic values parameterized by trapezoidal fuzzy numbers. We adopt fuzzy measure and fuzzy integral, one of the multiple attribute decision-making approaches, to rank the evaluated objects. Evaluating MBTs is a multi-criteria decision-making (MCDM) problem. The performance of 29 MBTs were evaluated and ranked to serve as a case study to illustrate the procedure and effectiveness of the proposed approach.

Keywords

  • Fuzzy measure,
  • Choquet fuzzy integral,
  • Fuzzy Analytic hierarchy process,
  • MCDM
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