Results 1 to 10 of about 177 (90)

States and Measures on Hyper BCK-Algebras [PDF]

open access: goldJournal of Applied Mathematics, 2014
We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation.
Xiao-Long Xin, Pu Wang
doaj   +7 more sources

An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras [PDF]

open access: goldJournal of Mathematics, 2021
In this article, a new idea of BMBJ-neutrosophic hyper-BCK-algebras is introduced and some of its properties are investigated. Here, BMBJ-neutrosophic hyper-BCK-ideal, BMBJ-neutrosophic weak hyper-BCK-ideal, BMBJ-neutrosophic s-weak hyper-BCK-ideal, and ...
Abdelaziz Alsubie   +3 more
doaj   +4 more sources

Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras [PDF]

open access: goldMathematics, 2020
In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a k-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a
Hee Sik Kim, Young Bae Jun, Sun Shin Ahn
exaly   +7 more sources

Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK‐ideals of BCK‐algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK‐ideal.
Jianming Zhan   +2 more
doaj   +5 more sources

Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2002
We consider the fuzzification of the notion of implicative hyper BCK-ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK-ideal.
Young Bae Jun, Wook Hwan Shim
doaj   +5 more sources

Intuitionistic Fuzzy Soft Hyper BCK Algebras [PDF]

open access: goldSymmetry, 2019
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. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R.
Xiaolong Xin   +2 more
exaly   +4 more sources

ATOMIC HYPER BCK-ALGEBRAS [PDF]

open access: bronzeCommunications of the Korean Mathematical Society, 2009
In this manuscript, we introduce the concept of an atomic subset of the hyper BCK-algebra and study its properties. Also, we give a characterization of the atomic hyper BCK-algebra and show that there are exactly (up to isomorphism) n atomic hyper BCK-algebras H with |H| = n for any natural number n.
Habib Harizavi
exaly   +4 more sources

SEVERAL TYPES OF BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS [PDF]

open access: bronzeHonam Mathematical Journal, 2012
Several types of a bipolar fuzzy hyper BCK-ideal in a hyper BCK-algebra are introduced, and their relations are investi- gated.
Young-Bae Jun   +2 more
exaly   +3 more sources

FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF HYPER BCK-ALGEBRAS [PDF]

open access: bronzeHonam Mathematical Journal, 2011
Fuzzy -translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy hyper BCK-subalgebras in hyper BCK-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.
Min-Su Kang
exaly   +4 more sources

Fuzzy hyper p-ideals of hyper BCK-algebras

open access: hybridFilomat, 2015
The paper is a reflection of ?fuzzy sets? applied to ?hyper p-ideals? and their comparison with simple ?fuzzy hyper BCK-ideals?. The idea of ?fuzzy (weak, strong) hyper p-ideals? is presented and characterization of these ideals is conferred using different concepts like that of ?level subsets, hyper homomorphic pre-image? etc.
Muhammad Touqeer
exaly   +4 more sources

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