Commutative falling neutrosophic ideals in BCK-algebras
Commutative falling neutrosophic ideals in BCK-algebras

Author: Young Bae Jun

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Neutrosophic set (NS) developed by Smarandache [11, 12,13] is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set. Neutrosophic set theory is applied to various part which is refered to the site http://fs.gallup.unm.edu/neutrosophy.htm. Jun, Borumand Saeid and Ozturk studied neutrosophic subalgebras/ideals in BCK/BCI-algebras based on neutrosophic points (see [1], [6]and [10]).

Commutative falling neutrosophic ideals in BCK-algebras
Commutative falling neutrosophic ideals in BCK-algebras

Author: Young Bae Jun

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.

Commutative Generalized Neutrosophic Ideals in BCK-Algebras
Commutative Generalized Neutrosophic Ideals in BCK-Algebras

Author: Rajab Ali Borzooei

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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The concept of a commutative generalized neutrosophic ideal in a BCK-algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in BCK-algebras are introduced, and some properties are investigated.

Neutrosophic Commutative N-Ideals in BCK-Algebras
Neutrosophic Commutative N-Ideals in BCK-Algebras

Author: Seok-Zun Song

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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The notion of a neutrosophic commutative N-ideal in BCK-algebras is introduced, and several properties are investigated. Relations between a neutrosophicN-idealandaneutrosophic commutative N-ideal are discussed. Characterizations of a neutrosophic commutative N-ideal are considered.

Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras
Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras

Author: M. Mohseni Takallo

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Commutative neutrosophic quadruple ideals and BCK-algebras are discussed, and related properties are investigated. Conditions for the neutrosophic quadruple BCK-algebra to be commutative are considered. Given subsets A and B of a neutrosophic quadruple BCK-algebra, conditions for the set NQ(A;B) to be a commutative ideal of a neutrosophic quadruple BCK-algebra are provided.

Implicative Neutrosophic Quadruple BCK-Algebras and Ideals
Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Author: G. Muhiuddin

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache.

Neutrosophic Sets and Systems, vol 20/2018
Neutrosophic Sets and Systems, vol 20/2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 133

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

(Fuzzy and neutrosophic) soft hyper BCK-ideals
(Fuzzy and neutrosophic) soft hyper BCK-ideals

Author: Somayeh KHADEMAN

Publisher: Infinite Study

Published:

Total Pages: 103

ISBN-13:

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We have given examples and theorems to examine the relations between them and their relations with fuzzy soft (weak, strong) hyper BCK-ideals. Then, we have introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal, reflexive neutrosophic hyper BCK-ideal and neutrosophic commutative hyper BCK-ideal and indicated some relevant properties and their relations. Finally, we introduce the notions of neutrosophic soft (weak, strong) hyper BCK-ideal and (weak, strong) neutrosophic soft hyper p-ideal and have got some results on them.