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Author: M. KAVIYARASU Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
The notion of neutrosophic INK-Algebra, neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are introduced, and several properties are investigated. Condition for neutrosophic sets to be neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are provided. Relation between neutrosophic sub algebra and neutrosophic INK-ideal are considered.
Author: M. KAVIYARASU Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
The notion of neutrosophic INK-Algebra, neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are introduced, and several properties are investigated. Condition for neutrosophic sets to be neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are provided. Relation between neutrosophic sub algebra and neutrosophic INK-ideal are considered.
Author: M. Kaviyarasu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 8
Book Description
In this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems which show that there is some relation between these notions. Finally, we define the INK-subalgebra of INK-algebra and then we give related theorem about the relationship between their Images and direct product of neutrosophic INK-ideals.
Author: Metawee Songsaeng Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 28
Book Description
The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 269
Book Description
Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 662
Book Description
“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.
Author: Mehmet Ali Ozturk Publisher: Infinite Study ISBN: Category : Languages : en Pages : 17
Book Description
The concept of 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.
Author: G. Muhiuddin Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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.
Author: Muhammad Akram Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 17
Book Description
Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty.We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of (2, 2 _q)-single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.
Author: Phattharaphon Rangsuk Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 41
Book Description
Among many algebraic structures, algebras of logic form important class of algebras. Examples of these are BCK-algebras, BCI-algebras, BCH-algebras, KU-algebras [28], SU-algebras and others.
Author: Jung Mi Ko Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
The notion of a neutrosophic subalgebra of a BE-algebra is introduced and consider characterizations of a neutrosophic subalgebra and a neutrosophic lter. We de ned the notion of a neutrosophic mighty lter of a BE-algebra, and investigated some properties of it. We provide conditions for a neutrosophic lter to be a neutrosophic mighty lter.
Author: M. KAVIYARASU
Author: M. KAVIYARASU
Author: M. Kaviyarasu
Author: Metawee Songsaeng
Author: Florentin Smarandache
Author: Florentin Smarandache
Author: Mehmet Ali Ozturk
Author: G. Muhiuddin
Author: Muhammad Akram
Author: Phattharaphon Rangsuk
Author: Jung Mi Ko