Download or read book Neutrosophic sets applied to mighty lters in BE algebras written by Jung Mi Ko and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Neutrosophic Set Theory Applied to UP Algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book NEUTROSOPHIC SETS IN UP ALGEBRAS BY MEANS OF INTERVAL VALUED FUZZY SETS written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP-ideals) of UP-algebras, proved some results, and their generalizations. Furthermore, we discuss the relations between interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP- ideals) and their level subsets.

Download or read book A novel approach to neutrosophic sets in UP algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notions of special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are provided. Relations between special neutrosophic UP-subalgebras (resp., special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, special neutrosophic strong UP-ideals) and their level subsets are considered.

Download or read book Application of Neutrosophic Soft Sets to K Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book NEUTROSOPHIC FILTERS IN PSEUDO BCI ALGEBRAS written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of the neutrosophic set was introduced by Smarandache; it is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. The notion of pseudo-BCI algebra was introduced by Dudek and Jun; it is a kind of nonclassical logic algebra and has a close connection with various noncommutative fuzzy logics. In this paper, neutrosophic set theory is applied to pseudo-BCI algebras.

Download or read book A Novel Extension of Neutrosophic Sets and Its Application in BCK BCI Algebras written by Seok-Zun Song and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are investigated.

Download or read book Neutrosophic Sets and Systems Vol 31 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Download or read book T MBJ Neutrosophic Set under M Subalgebra written by Mohsin Khalid and published by Infinite Study. This book was released on 2020-12-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the idea of T-MBJ neutrosophic set is introduced in which MBJ-neutrosophic set is used to present this new set called T-MBJ neutrosophic set. furthermore the notion of T-MBJ neutrosophic M-subalgebra on G-algebra is also introduced and provide the conditions for T-MBJ neutrosophic M-subalgebra. The word M in the term M-subalgebra, represents the initial of author's first name Mohsin. We study the T-MBJ neutrosophic set through different characteristics and also prove some results for better understanding of newly defined T-MBJ neutrosophic set.

Download or read book Neutrosophic N structures over UP algebras written by Phattharaphon Rangsuk and published by Infinite Study. This book was released on with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Novel Extension of Neutrosophic Sets and Its Application in BCK BCI Algebras written by Seok-Zun Song and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are investigated. Characterizations of generalized neu- trosophic subalgebra/ideal are considered. Relation between generalized neutrosophic subalgebra and generalized neutrosophic ideal is discussed. In a BCK-algebra, conditions for a generalized neutrosophic subalgebra to be a generalized neutrosophic ideal are provided. Conditions for a gen- eralized neutrosophic set to be a generalized neutrosophic ideal are also provided. Homomorphic image and preimage of generalized neutrosophic ideal are considered.

Download or read book Direct product of Neutrosophic INK Algebras written by M. Kaviyarasu and published by Infinite Study. This book was released on 2020-12-01 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book NEUTROSOPHIC IDEALS IN BCK BCI ALGEBRAS BASED ON NEUTROSOPHIC POINTS written by Mehmet Ali Ozturk and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Certain Notions of Neutrosophic Topological K Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of neutrosophic set from philosophical point of view was first considered bySm arandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

Download or read book NEUTROSOPHIC SET IN INK ALGEBRA written by M. KAVIYARASU and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A General Model of Neutrosophic Ideals in Bck Bci Algebras Based on Neutrosophic Points written by Hashem Bordbar and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce a more general form of neutrosophic ideal, and investigate their properties.

Download or read book Single Valued Neutrosophic Sets written by Haibin Wang and published by Infinite Study. This book was released on 2010-01-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the settheoretic operators on an instance of neutrosophic set, we call it single valued neutrosophic set (SVNS). We provide various properties of SVNS, which are connected to the operations and relations over SVNS.