Constructions of coimplications and left (right) semi-uninorms on a complete lattice

Autor:	Zhudeng Wang, Xiaoying Hao, Meixia Niu
Rok vydání:	2015
Předmět:	Pure mathematics Information Systems and Management Mathematical analysis Lower approximation Residual Computer Science Applications Theoretical Computer Science Fuzzy connective Complete lattice Artificial Intelligence Control and Systems Engineering Binary operation Software Mathematics
Zdroj:	Information Sciences. 317:181-195
ISSN:	0020-0255
DOI:	10.1016/j.ins.2015.04.046
Popis:	In this paper, we further study the constructions of coimplications and left (right) semi-uninorms on a complete lattice. We firstly investigate the residual coimplications generated by left (right) semi-uninorms and the left (right) semi-uninorms induced by coimplications. Then, we give out the formulas for calculating the upper and lower approximation disjunctive left (right) semi-uninorms and the upper and lower approximation coimplications, which satisfy the neutrality principle, of a binary operation. Finally, we discuss the relationships between disjunctive left (right) semi-uninorms and coimplications which satisfy the neutrality principle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::434cc6ff7be11bcfb01bf0aa3851e9db https://doi.org/10.1016/j.ins.2015.04.046 Zobrazit plný text záznamu Full Text from ScienceDirect