Distributivity equation between uninorms and Mayor’s aggregation operators¹

Article type: Research Article

Authors: Zhang, Feng-Xia^{; *}

Affiliations: School of Mathematics, Liaocheng University, Liaocheng, Shandong, China

Correspondence: [*] Corresponding author. Feng-Xia Zhang, School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, China. E-mail: fengxiazhang@163.com.

Note: [1 ] Supported by the National Natural Science Foundation of China (Nos.11601210 and 11471152).

Abstract: Distributivity equation has been widely studied involving different classes of logical connectives or aggregation operators, such as implications, uninorms, t-operators and their generalizations. In this paper, we follow on these works by investigating the distributivity for uninorms and Mayor’s aggregation operators.

Keywords: Aggregation operators, uninorms, Mayor’s aggregation operators, distributivity equation

DOI: 10.3233/JIFS-171286

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 1835-1849, 2018