A note on “Some dual hesitant fuzzy Hamacher aggregation operators and their applications to multiple attribute decision making”

Article type: Research Article

Authors: Dawlet, Omirzhan | Bao, Yan-Ling^{; *}

Affiliations: College of Mathematics and System Sciences, Xinjiang University, 830046, Urumqi, China

Correspondence: [*] Corresponding author. Yan-Ling Bao. E-mail: bao-yanling@xju.edu.cn.

Abstract:  As dual hesitant fuzzy sets can express the uncertainty of data efficiently, the aggregation of dual hesitant fuzzy information plays an important role in both theory and application. However, some existing dual hesitant fuzzy aggregation operators are not rigorous enough actually. In this note, we show that some theorems in an earlier paper by Ju et al. [1] (Journal of Intelligent & Fuzzy Systems 27 (2014) 2481–2495) are not correct, i.e., the dual hesitant fuzzy Hamacher weighted averaging operator (DHFHWA) and some other aggregation operators proposed by Ju et al. don’t satisfy idempotency and boundedness. Therefore, the purpose of this paper is to make researchers aware of that some aggregation operators in literature [1] are flawed and limited for many applications.

Keywords: Dual hesitant fuzzy set, Aggregation operator, Idempotency

DOI: 10.3233/JIFS-230764

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 5, pp. 8197-8201, 2023