Generalized lower and upper approximations in hyperrings

Issue title: Some highlights on fuzzy systems and data mining

Guest editors: Shilei Sun, Silviu Ionita, Eva Volná, Andrey Gavrilov and Feng Liu

Article type: Research Article

Authors: Xin, Xiaolong^{a; *} | Wang, Juntao^a | Zhang, Xiaohong^b

Affiliations: [a] School of Mathematics, Northwest University, Xi’an, P.R. China | [b] College of Arts and Sciences, Shanghai Maritime University, Shanghai, P.R. China

Correspondence: [*] Corresponding author. Xiaolong Xin, School of Mathematics, Northwest University, Xi’an 710127, P.R. China. Tel.: +86 13571952880; Fax: + 086 2988 308430; E-mail: xlxin@nwu.edu.cn.

Abstract: The main goal of this paper is to investigate set valued homomorphisms on hyperrings and construct popularized lower and upper approximations operators via them. Also, we put forth the concept of generalized lower and upper approximations respect to a hyperideals of hyperrings. The results of this paper can be regards as generalizations of related results in generalized lower and upper approximations in rings, which is introduced by Yamak.

Keywords: Hyperring, hyperieal, rough set, upper and lower approximation operators, set valued homomorphism

DOI: 10.3233/JIFS-169170

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 6, pp. 2881-2886, 2016