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

Seyed Majid Alavi ()
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Seyed Majid Alavi: Department of Mathematics and Computer Science, Arak Branch, Islamic Azad University, Arak, Iran

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 01, 51-65

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.

Keywords: Generalized fuzzy number; ranking; integral mean value; expected interval ranking (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S179300572250048X

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