Affiliations: [a] College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan, China
| [b] College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, China
Correspondence:
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Corresponding author. Feng Sun, College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, China. Tel.: +86 0833 2276268; Fax: +86 0833 2276022; E-mail: sunfeng1005@163.com.
Note: [1] This work was supported by National Natural Science Foundation of China (No. 61573240), Scientific Research Fund of Sichuan Provincial Education Department (Nos.16ZB0297, 16ZA0303 and 16TD0029) and Research Projects of Leshan Normal University (Nos. Z1402, Z1411).
Abstract: In this paper, we discuss two special classes of 2-uninorms which we call uni-nullnorms and null-uninorms. They are combinations of uninorms and nullnorms. We prove that uni-nullnorms (resp. null-uninorms) are dual to null-uninorms (resp. uni-nullnorms) under a strong negation. We study their classifications, structures and idempotence. Moreover, we investigate De Morgan triples for uni-nullnorms and null-uninorms.
Keywords: 2-uninorms, uni-nullnorms, null-uninorms, structure, idempotent, De Morgan triples
