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Optimistic Ranking Pessimistic Ranking and Neutral Ranking of Generalized Fuzzy Numbers Using the Integral Mean Value

Author

Listed:
  • Seyed Majid Alavi

    (Department of Mathematics and Computer Science, Arak Branch, Islamic Azad University, Arak, Iran)

Abstract

Fuzzy numbers ranking methods are one of the important tools for decision-makers in real-world problems. Often fuzzy numbers may not be normal, which are called generalized fuzzy numbers (G-fuzzy numbers). In this work, a simple and efficient method is given to rank fuzzy numbers. For every given G-fuzzy number we use interval arithmetic to assign two suitable intervals that are called pessimistic and optimistic expected ranking intervals, respectively. Since a decision-maker may be optimistic, pessimistic, or neutral, we use an index to choose a point of these intervals to rank G-fuzzy numbers according to the point of view of decision-makers. In this manner, our method can be used to rank all arbitrary G-fuzzy numbers without attention to certain cases. Some examples are given to compare the proposed method with other methods.

Suggested Citation

  • Seyed Majid Alavi, 2023. "Optimistic Ranking Pessimistic Ranking and Neutral Ranking of Generalized Fuzzy Numbers Using the Integral Mean Value," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 51-65, March.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:01:n:s179300572250048x
    DOI: 10.1142/S179300572250048X
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