Monotonic argument‐dependent OWA operators. Issue 8 (22nd June 2018)

• Record Type: Journal Article
• Authors: Zeng, Wenyi; Li, Deqing; Gu, Yundong
• Is Part Of: International journal of intelligent systems. Volume 33:Issue 8(2018)
• Page Start: 1639
• Page End: 1659
• Publication Date: 2018-06-22
• Subjects: dependent OWA operator -- pessimistic‐dependent OWA operator -- optimistic‐dependent OWA operator -- original function; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.21955
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: The ordered weighted averaging (OWA) operator introduced by Yager is one of the most popular aggregation technique. In this paper, we develop two kinds of argument‐dependent OWA (DOWA) operators including the pessimistic‐dependent OWA (PE‐DOWA) operator and optimistic‐dependent OWA (OP‐DOWA) operator, that point out that the PE‐DOWA operator is decreasing and the OP‐DOWA operator is increasing, and investigate some properties of our proposed monotonic DOWA operators in detail. Furthermore, we introduce the concept of original function in which a gradient vector generates the weights of the PE‐DOWA and OP‐DOWA operators. Meanwhile, we propose two classes of original functions including summing‐type original function and multiplying‐type original function and investigate the sufficient monotonic conditions for the DOWA operators generated by the original functions. Finally, we discuss the characteristics and properties of our proposed DOWA operators in detail and use a numerical example to illustrate the flexibility of our proposed operators.