Momentum Ranking Function of Z-Numbers and its Application to Game Theory

Parameswari, K.; VELAMMAL, G.

doi:10.21123/bsj.2023.8428

Cited by 1 publication

(1 citation statement)

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“…The momentum ranking function was proposed by [101] to rank Z-numbers, in which the first component is defuzzified into the center of gravity, as shown in (26), while the second component is defuzzified into the median of fuzzy numbers, as shown in (27).…”

Section: Magnitude Valuementioning

confidence: 99%

The Application of Z-Numbers in Fuzzy Decision Making: The State of the Art

et al. 2023

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A Z-number is very powerful in describing imperfect information, in which fuzzy numbers are paired such that the partially reliable information is properly processed. During a decision-making process, human beings always use natural language to describe their preferences, and the decision information is usually imprecise and partially reliable. The nature of the Z-number, which is composed of the restriction and reliability components, has made it a powerful tool for depicting certain decision information. Its strengths and advantages have attracted many researchers worldwide to further study and extend its theory and applications. The current research trend on Z-numbers has shown an increasing interest among researchers in the fuzzy set theory, especially its application to decision making. This paper reviews the application of Z-numbers in decision making, in which previous decision-making models based on Z-numbers are analyzed to identify their strengths and contributions. The decision making based on Z-numbers improves the reliability of the decision information and makes it more meaningful. Another scope that is closely related to decision making, namely, the ranking of Z-numbers, is also reviewed. Then, the evaluative analysis of the Z-numbers is conducted to evaluate the performance of Z-numbers in decision making. Future directions and recommendations on the applications of Z-numbers in decision making are provided at the end of this review.

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Section: Magnitude Valuementioning

confidence: 99%