Z-valued T-norm and T-conorm Operators-based Aggregation of Partially Reliable Information

Aliev, R. A.; Huseynov, Oleg H.; Aliyeva, Kamala

doi:10.1016/j.procs.2016.09.363

Cited by 11 publications

(1 citation statement)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the application of Z-numbers in group decision-making, Aliev et al [32] defined the Z-number valued t-norm and t-conorm. The defined t-norm and t-conorm were then extended to define the aggregation operator to aggregate the decision information in terms of Z-numbers defined by multiple decision-makers.…”

Section: Theoretical Preliminariesmentioning

confidence: 99%

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

et al. 2023

View full text Add to dashboard Cite

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.

show abstract

Section: Theoretical Preliminariesmentioning

confidence: 99%