Published 2020 | Version v1

Fuzzy soft set theory with applications in hyper BCK-Algebras

  • 1. Center for Information Technology and Applied Mathematics, University of Nova Gorica, Slovenia
  • 2. Department of Mathematics, Jeju National University, Jeju, South Korea
  • 3. Department of Physics, University of Qom
  • 4. Department of Mathematics Education, Gyeongsang National University, Jinju, South Korea

Description

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. 2021 EDP Sciences. All rights reserved.

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