A corrigendum to “Cross-migrative uninorms with different neutral elements”

Article type: Research Article

Authors: Zhan, Hang | Liu, Hua-Wen^{; *}

Affiliations: School of Mathematics, Shandong University, Jinan, Shandong, P.R. China

Correspondence: [*] Corresponding author. Hua-Wen Liu, School of Mathematics, Shandong University, Jinan, Shandong 250100, P.R. China. Tel.: +86 531 88364652; Fax: +86 531 88365550; E-mail: hw.liu@sdu.edu.cn.

Abstract: This paper aims to complete and correct some results in the paper “Cross-migrative property for uninorms with different neutral elements” [15]. The proof of Remark 1 in [15] left out several very special cases, we complete the proof of this remark by Lemmas i, ii, iii, iv. Proposition 3.6 in [15] is not entirely correct since the authors actually only consider the case e1 < e2. In this paper we complement Proposition 3.6 and also correct the theorems whose proofs need to use the conclusion of Proposition 3.6.

Keywords: Cross-migrativity, fuzzy connective, uninorm, t-Norm, t-Conorm

DOI: 10.3233/JIFS-17351

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1303-1311, 2017