Fuzzy soft positive implicative hyper BCK-ideals in hyper BCK-algebras

Article type: Research Article

Authors: Khademan, Somayeh^{a; *} | Zahedi, Mohammad Mehdi^b | Jun, Young Bae^{c; d} | Borzooei, Rajab Ali^d

Affiliations: [a] Department of Mathematics, Tarbiat Modares University, Tehran, Iran | [b] Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | [c] Department of Mathematics Education, Gyeongsang National University, Jinju, Korea | [d] Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Correspondence: [*] Corresponding author. S. Khademan. E-mail: somayeh.khademan@modares.ac.ir.

Abstract: Fuzzy soft set theory is applied to hyper BCK-algebras. The notion of fuzzy soft positive implicative hyper BCK-ideals is introduced, and several properties are investigated. The relation between fuzzy soft positive implicative hyper BCK-ideal and fuzzy soft hyper BCK-ideal is considered. Characterizations of fuzzy soft positive implicative hyper BCK-ideal are provided. Using the notion of positive implicative hyper BCK-ideal, a fuzzy soft weak (strong) hyper BCK-ideal is established.

Keywords: Hyper BCK-algebra, fuzzy soft hyper BCK-ideal, fuzzy soft positive implicative hyper BCK-ideal

DOI: 10.3233/JIFS-181755

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2605-2613, 2019