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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   +8 more sources

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   +9 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 BMBJ-neutrosophic strong hyper-BCK-ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie   +3 more
wiley   +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.
Mahmood Bakhshi   +2 more
exaly   +5 more sources

Rough Set Theory Applied To Hyper BCK-Algebra [PDF]

open access: greenRatio Mathematica, 2014
The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their
R. Ameri, R. Moradian, R. A. Borzooei
doaj   +3 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.
Seok-Zun Song   +2 more
exaly   +3 more sources

Fuzzy multiply positive implicative hyper BCK‐ideals of hyperBCK‐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 0001   +2 more
wiley   +6 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

Int-soft Implicative hyper $BCK$-ideals in hyper $BCK$-algebras

open access: closedMissouri Journal of Mathematical Sciences, 2019
Relations between various types of int-soft hyper BCK-ideals are discussed. Conditions for an int-soft hyper BCK-ideal to be an int-soft weak implicative hyper BCK-ideal are provided. Using an int-soft weak implicative hyper BCK-ideal, a new int-soft weak implicative hyper BCK-ideal is established.
Rajab Ali Borzooei   +2 more
exaly   +4 more sources

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