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.
AliM.I., FengF., LiuX., MinW.K. and ShabirM., On some new operations in soft set theory, Comput Math Appl57 (2009), 1547–1553.
2.
AmeriR., On categories of hypergroups and hypermodules, Ital J Pure Appl Math6 (2003), 121–132.
3.
AmeriR. and RosenbergI.G., Congruences of multialgebras, Mult-Valued Logic Soft Comput15(5-6) (2009), 525–536.
4.
AmeriR. and ZahediM.M., Hyperalgebraic systems, Ital J Pure Appl Math6 (1999), 21–32.
5.
AygunE. and KamaciH., Some generalized operations in soft set theory and their role in similarity and decision making, Journal of Intelligent and Fuzzy Systems36(6) (2019), 6537–6547.
6.
BordbarH., BorzooeiR.A. and JunY.B., Uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras, New Mathematics and Natural Computation14(2) (2018), 1–13.
7.
BordbarH., AhnS.S., ZahediM.M. and JunY.B., Semiring structures based on meet and plus ideals in lower BCK-semilattices, Journal of Computational Analysis and Applications23(5) (2017), 945–954.
8.
BordbarH., NovakM. and CristeaI., Properties of reduced meet ideals in lower BCKsemilattices, Aplimat (2018), 97–109.
9.
BordbarH. and CristeaI., Height of prime hyperideals in krasner hyperrings, Filomat19(31), 6153–6163.
10.
BordbarH. and ZahediM.M., A finite type closure operations on BCK-algebras, Applied Math Inf Sci Lett4(2) (2016), 1–9.
11.
BordbarH. and ZahediM.M., Semi-prime closure operations on BCK-algebra, Commun Korean Math Soc30(4) (2015), 385–402.
12.
BordbarH., ZahediM.M., AhnS.S. and JunY.B., Weak closure operations on ideals of BCK-algebras, Journal of Computational Analysis and Applications23(2) (2017), 51–64.
13.
BordbarH., ZahediM.M. and JunY.B., Relative annihilators in lower BCK-semilattices, Math Sci Lett6(2) (2017), 1–7.
14.
CorsiniP., Prolegomena of Hypergroup Theory, Riv Mat Pura Appl, Aviani Editor, Tricesimo, 1993, Sulement to.
15.
CorsiniP., LeoreanuV., Applications of Hyperstructure Theory, Kluwer, Dordrecht, 2003.
16.
JunY.B., Soft BCK=BCI-algebras, Comput Math Appl56 (2008), 1408–1413.
17.
JunY.B., LeeK.J. and ParkC.H., Fuzzy soft set theory applied to BCK=BCI-algebras, Comput Math Appl59 (2010), 3180–3192.
18.
JunY.B. and ParkC.H., Applications of soft sets in ideal theory of BCK/BCIalgebras, Inform Sci178 (2008), 2466–2475.
19.
JunY.B. and ShimW.H., Fuzzy implicative hyper BCK-ideals of hyper BCK- algebras, Internat J Math Math Sci29(2) (2002), 63–70.
20.
JunY.B. and XinX.L., Scalar elements and hyper atoms of hyper BCK-algebras, Scientiae Mathematicae2(3) (1999), 303–309.
21.
JunY.B. and XinX.L., Fuzzy hyper BCK-ideals of hyper BCK-algebras, Sci Math Jpn53(2) (2001), 353–360.
22.
JunY.B., XinX.L., ZahediM.M. and RohE.H., Strong hyper BCK-ideals of hyper BCK-algebras, Math Japonica51(3) (2000), 493–498.
23.
JunY.B., ZahediM.M., XinX.L. and BorzoeiR.A., On hyper BCK-algebras, Italian J Pure Appl Math8 (2000), 127–136.
24.
KamaciH., Similarity measure for soft matrices and its applications, Journal of Intelligent and Fuzzy Systems36(4) (2019), 3061–3072.
25.
Leoreanu-FoteaV. and DavvazB., Join n-spaces and lattices, Mult-Valued Logic Soft Comput (5-6) (2008), 421–432.
26.
Leoreanu-FoteaV. and DavvazB., n-hypergroups and binary relations, European J Combin29 (2008), 1207–1218.
MartyF., Sur une generalization de la notion de groupe, 8th Congress Math Scandenaves, Stockholm, 1934, pp. 45–49.
29.
MolodtsovD., Soft set theory - First results, Comput Math Appl37 (1999), 19–31.
30.
PeleaC., On the direct product of multialgebras, Studia Univ Babes-Bolyai MathXLVIII (2003), 93–98.
31.
PetchimuthuS. and KamaciH., The row-products of inverse soft matrices in multicriteria decision making, Journal of Intelligent and Fuzzy Systems36(6) (2019), 6425–6441.
32.
PickettH.E., Homomorphism and subalgebras of multialgebras, Pacific J Math10 (2001), 141–146.
33.
SchweigertD., Congruence relations of multialgebras, Discrete Math53 (1985), 249–253.
34.
SerafimidisK., KehagiasA. and KonstantinidouM., The L-fuzzy Corsini join hyperoperation, Ital J Pure Appl Math12 (2002), 83–90.
35.
VougiouklisT., Hyperstructures and their Representations, Hadronic Press, Inc., Palm Harber, USA, 1994.
