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2. UNI-SOFT IDEALS IN CORESIDUATED LATTICESHashem Bordbar, 2018, original scientific article Abstract: The notion of the uni-soft idea is introduced, and related properties are investigated. Characterizations of the uni-soft ideal are discussed. The transfer of uni-soft ideal is considered, and relations between the uni-soft ideal and its transfer are investigated. Given a soft set, conditions for the transfer of soft set to be a uni-soft ideal.
Keywords: Coresiduated lattice, uni-soft ideal, transfer, support.
Published in RUNG: 15.10.2020; Views: 3245; Downloads: 0
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3. Double-framed soft set theory applied to hyper BCK-algebrasHashem Bordbar, 2020, original scientific article Abstract: The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double- framed soft hyper BCK-ideal are considered. Relations between double-framed soft hyper BCK-ideal and double-framed soft strong hyper BCK-ideal are discussed. Conditions for a double-framed soft set to be a double-framed soft strong hyper BCK-ideal are provided.
Keywords: double-framed soft hyper BCK-algebra, double-framed soft (strong) hyper BCK-ideal.
Published in RUNG: 31.08.2020; Views: 3219; Downloads: 0
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4. Soft set theory and hypercompositional algebrasHashem Bordbar, 2020, published scientific conference contribution abstract Abstract: Some applications of soft set theory and fuzzy soft set theory (as a generalization of the soft set theory) in the decision-making problem were investigated by Maji et al. in [1].
The aim of this manuscript is to apply the concept of (fuzzy) soft set theory in some hypercompositional structure and especially hyper BCK-algebra. Some notations related to our hyperstructure are introduced and some examples are provided.
Keywords: Soft set theory, Hyper BCK-algebra, Fuzzy soft set theory.
Published in RUNG: 08.07.2020; Views: 3288; Downloads: 0
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5. Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures2020, scientific monograph Keywords: symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set, fuzzy set, multiset, soft set, hyperhomography, BCK-algebra, multiautomatom, artificial neuron, hypergraph
Published in RUNG: 27.03.2020; Views: 3469; Downloads: 0
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6. Fuzzy soft set theory with applications in hyper BCK-algebrasHashem Bordbar, Mohammad Rahim Bordbar, Seok-zun Song, Young Bae Jun, 2020, original scientific article 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 a 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
Published in RUNG: 24.02.2020; Views: 3675; Downloads: 0
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