Fuzzy soft set theory with applications in hyper BCK-algebras

Article type: Research Article

Authors: Bordbar, Hashem^{a; *} | Song, Seok-Zun^b | Bordbar, Mohammad Rahim^c | Jun, Young Bae^d | (To the memory of Professor Lotfi A. Zadeh)

Affiliations: [a] Center for Information Technology and Applied Mathematics, University of Nova Gorica, Slovenia | [b] Department of Mathematics, Jeju National University, Jeju, Korea | [c] Department of Physics, University of Qom, Qom, Iran | [d] Department of Mathematics Education, Gyeongsang National University, Jinju, Korea

Correspondence: [*] Corresponding author. Hashem Bordbar, Center for Information Technology and Applied Mathematics, University of Nova Gorica, Slovenia. E-mail: hashem.bordbar@ung.si.

Abstract:  In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply fuzzy soft set for dealing with several kinds of theories in hyper BCK-algebras. The notions of fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal and fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated.

Keywords: fuzzy soft hyper BCK-ideal,, fuzzy soft weak hyper BCK-ideal,, fuzzy soft s-weak hyper BCK-ideal,, fuzzy soft strong hyper BCK-ideal

Keywords: 06F35, 03G25, 06D72

DOI: 10.3233/JIFS-190103

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1789-1797, 2020