ZE-numbers: A new extended Z-numbers and its application on multiple attribute group decision making. (May 2021)

• Record Type: Journal Article
• Authors: Tian, Ye; Mi, Xiangjun; Ji, Yunpeng; Kang, Bingyi
• Is Part Of: Engineering applications of artificial intelligence. Volume 101(2021)
• Publication Date: 2021-05
• Subjects: Z-numbers -- Reliability -- Ordered weighted average -- Decision making -- MAGDM; Engineering -- Data processing -- Periodicals; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Ingénierie -- Informatique -- Périodiques; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; Artificial intelligence; Engineering -- Data processing; Expert systems (Computer science); Periodicals; 620.00285
• DOI: 10.1016/j.engappai.2021.104225
• Languages: English
• ISSNs: 0952-1976

Abstract

Abstract: As the core mechanism of intelligent systems, decision-making has received widespread attention in recent years. As decision-making environments become more complex, large amounts of data are fuzzy and partially reliable. Zadeh proposed the concept of the Z-numbers, this more anthropomorphic fuzzy set representation framework describes the simultaneous existence of probability measures and probability measures of random variables, and it is regarded as a very powerful tool for modeling uncertain information. However, the representation of Z-numbers still has limitations. Therefore, we propose a new extended Z-numbers, Z E = ( ( A, B ), E ), E is the credibility. As the objective reliability of ( A, B ), it restricts the original Z-numbers. At the same time, the conversion function between them is also defined. Based on this, we proposed a multi-attribute group decision-making (MAGDM) method considering the attitudes of decision-makers. Application examples show the rationality and effectiveness of the proposed methodology, and the superiority of this method is further illustrated through comparison and discussion with other methods.