Author: Mehmet Şahin
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 10
Book Description
In this paper, a notion of neutrosophic triplet inner product is given and properties of neutrosophic triplet inner product spaces are studied. Furthermore, we show that this neutrosophic triplet notion is different from the classical notion.
Neutrosophic Triplet Inner Product
Author: Mehmet Şahin
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 10
Book Description
In this paper, a notion of neutrosophic triplet inner product is given and properties of neutrosophic triplet inner product spaces are studied. Furthermore, we show that this neutrosophic triplet notion is different from the classical notion.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 10
Book Description
In this paper, a notion of neutrosophic triplet inner product is given and properties of neutrosophic triplet inner product spaces are studied. Furthermore, we show that this neutrosophic triplet notion is different from the classical notion.
NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599735954
Category : Mathematics
Languages : en
Pages : 198
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.
Publisher: Infinite Study
ISBN: 1599735954
Category : Mathematics
Languages : en
Pages : 198
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.
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 3038973858
Category : Mathematics
Languages : en
Pages : 480
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,, ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.
Publisher: Infinite Study
ISBN: 3038973858
Category : Mathematics
Languages : en
Pages : 480
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Neutrosophic Triplet Cosets and Quotient Groups
Author: Mikail Bal
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup.
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
Author: Florentin Smarandache
Publisher: MDPI
ISBN: 3038974757
Category : Mathematics
Languages : en
Pages : 450
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,, ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.
Publisher: MDPI
ISBN: 3038974757
Category : Mathematics
Languages : en
Pages : 450
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 3038974765
Category : Mathematics
Languages : en
Pages : 450
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,, ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.
Publisher: Infinite Study
ISBN: 3038974765
Category : Mathematics
Languages : en
Pages : 450
Book Description
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Neutrosophic Triplet Partial v-Generalized Metric Space
Author: Memet Şahin
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 20
Book Description
In this chapter, study the notion of neutrosophic triplet partial v-generalized metric space. Then, we give some definitions and examples for neutrosophic triplet partial v-generalized metric space and obtain some properties and prove these properties. Furthermore, we show that neutrosophic triplet partial v-generalized metric space is different from neutrosophic triplet v-generalized metric space and neutrosophic triplet partial metric space.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 20
Book Description
In this chapter, study the notion of neutrosophic triplet partial v-generalized metric space. Then, we give some definitions and examples for neutrosophic triplet partial v-generalized metric space and obtain some properties and prove these properties. Furthermore, we show that neutrosophic triplet partial v-generalized metric space is different from neutrosophic triplet v-generalized metric space and neutrosophic triplet partial metric space.
Neutrosophic Sets and Systems Book Series, Vol. 30, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 293
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 293
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.
New Trends in Neutrosophic Theory and Applications, Volume II
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 471
Book Description
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after 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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 471
Book Description
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after 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.
Neutrosophic Extended Triplet Group Action and Burnside’s Lemma
Author: Moges Mekonnen Shalla
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 26
Book Description
The aim of this article is mainly to discuss the neutrosophic extended triplet (NET) group actions and Burnside’s lemma of NET group. We introduce NET orbits, stabilizers, conjugates and NET group action. Then, we give and proof the Orbit stabilizer formula for NET group by utilizing the notion of NET set theory. Moreover, some results related to NET group action, and Burnside’s lemma are obtained.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 26
Book Description
The aim of this article is mainly to discuss the neutrosophic extended triplet (NET) group actions and Burnside’s lemma of NET group. We introduce NET orbits, stabilizers, conjugates and NET group action. Then, we give and proof the Orbit stabilizer formula for NET group by utilizing the notion of NET set theory. Moreover, some results related to NET group action, and Burnside’s lemma are obtained.