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21.
A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras
Hashem Bordbar, Mohammad Rahim Bordbar, Young Bae Jun, 2019, original scientific article

Abstract: Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK∕BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK∕BCI-algebras to be a semidetached subalgebra are provided. The concepts of (∈¯,∈¯∨qk¯)-fuzzy subalgebra, k-left (k-right) (qk,∈∨qk)-fuzzy subalgebra, (qk¯,∈¯∨qk¯)-fuzzy subalgebra and (∈¯∨qk¯,∈¯∨qk¯)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.
Keywords: ð2, 2_qkÞ-fuzzy subalgebra, k-left (k-right) ðqk, 2_qkÞ-fuzzy subalgebra, ð 2 _ qk, 2 _ qk Þ-fuzzy subalgebra, semidetached structure, semidetached subalgebra.
Published in RUNG: 02.12.2019; Views: 2649; Downloads: 0
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22.
A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2017, original scientific article

Abstract: The concept of a hesitant union (
Keywords: Hesitant union, ∪-hesitant fuzzy subalgebra, ∪-hesitant fuzzy ideal
Published in RUNG: 01.12.2019; Views: 2851; Downloads: 0
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23.
A fuzzy application of the group Z_n to complete hypergroups
Irina Elena Cristea, Elhan Hassani Sadrabadi, Bijan Davvaz, 2019, original scientific article

Keywords: complete hypergroup, intuitionistic fuzzy set, Wieferich prime
Published in RUNG: 12.06.2019; Views: 3151; Downloads: 0
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24.
Subpolygroups related to a fuzzy topology
N. Abbasizadeh, Irina Elena Cristea, Bijan Davvaz, Jianming Zhan, 2018, original scientific article

Keywords: polygroup, fuzzy topological space, (relatively) fuzzy continuity, lower (upper) fuzzy topological subpolygroup
Published in RUNG: 21.08.2018; Views: 3206; Downloads: 0
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26.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, published scientific conference contribution

Keywords: fundamental relations, reduced hypergroup, fuzzy reduced hypergroup, fuzzy grade
Published in RUNG: 18.10.2017; Views: 3567; Downloads: 0
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27.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, published scientific conference contribution

Keywords: fundamental relation, reduced hypergroup, fuzzy set
Published in RUNG: 30.08.2017; Views: 3490; Downloads: 0
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28.
A new type of fuzzy subsemihypermodules
Morteza Norouzi, Irina Elena Cristea, 2017, original scientific article

Abstract: In this paper, combining the notions of “belongingness” and “quasi coincidence” of fuzzy points and fuzzy subsets, a new type of fuzzy subsemihypermodules, namely (∝, ⋐k)-fuzzy subsemihypermodules of general hypermodules, is introduced and characterized, using the “max” operator. Their properties and connections with other (α, β)-fuzzy subsemihypermodules are investigated.
Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Published in RUNG: 01.03.2017; Views: 3346; Downloads: 1
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29.
Fuzzy Subhypergroups Degree
Irina Elena Cristea, 2016, original scientific article

Abstract: In this paper we define the degree to which a fuzzy subset on a hypergroup is a fuzzy subhypergroup by means of the residuate sets, constructed using the minimum t-norm. We give also some properties of this new index connected with the intersection of a family of fuzzy subhypergroups, and respectively with the homomorphic image/preimage of a fuzzy subset. We conclude with addressing new problems related with intuitionistic fuzzy subhypergroups and fuzzy subpolygroups in the framework of our discussion.
Keywords: Fuzzy set, fuzzy subhypergroup, residuate set, t-norm
Published in RUNG: 24.06.2016; Views: 4155; Downloads: 0
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30.
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