Note on hesitant fuzzy prioritized weighted operators¹

Article type: Research Article

Authors: Li, Deqing^{a; b} | Zeng, Wenyi^{b; *} | Li, Junhong^{b; c} | Yu, Fusheng^d

Affiliations: [a] Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, Hebei, P.R. China | [b] College of Information Science and Technology, Beijing Normal University, Beijing, P.R. China | [c] College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, P.R. China | [d] School of Mathematical Science, Beijing Normal University, Beijing, P.R. China

Correspondence: [*] Corresponding author. Wenyi Zeng, College of Information Science and Technology, Beijing Normal University, Beijing 100875, P.R. China. Tel.: +86 10 58805665; Fax: +86 10 58808313; E-mail: zengwy@bnu.edu.cn.

Note: [1] This work is supported by grants from the National Natural Science Foundation of China (10971243, 11571001).

Abstract: We show by counterexamples that six theorems in Wei [Knowledge-Based Systems 31 (2012) 176] are incorrect, present two new aggregation operators and investigate their properties.

Keywords: Hesitant fuzzy set, hesitant fuzzy prioritized weighted average (HFPWA) operator, hesitant fuzzy prioritized weighted geometric (HFPWG) operator, adjusted hesitant fuzzy prioritized weighted average (AHFPWA) operator, adjusted hesitant fuzzy prioritized weighted geometric (AHFPWG) operator

DOI: 10.3233/IFS-152062

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3191-3196, 2016