21. A Generalization of Semidetached Subalgebras in BCK∕BCI-algebrasHashem 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: 2759; Downloads: 0
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25. Yaqoob, Naveed (SAR-MU4-CSC); Aslam, Muhammad [Aslam, Muhammad4] (PAK-QAZAM); Hila, Kostaq (AL-UGJN-MCS); Davvaz, Bijan (IR-YAZD-M) Rough prime bi-Γ-hyperideals and fuzzy prime bi-Γ-hyperideals of Γ-semihypergroups.Irina Elena Cristea, 2018, review, book review, critique Keywords: fuzzy set, rough set, hyperideal, semihypergroup
Published in RUNG: 18.06.2018; Views: 3440; Downloads: 0
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28. A new type of fuzzy subsemihypermodulesMorteza 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: 3471; Downloads: 1
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29. Fuzzy Subhypergroups DegreeIrina 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: 4272; Downloads: 0
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