Neutrosophic Components Semigroups And Multiset Neutrosophic Components Semigroups

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Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups

Author : Vasantha W.B. , Ilanthenral Kandasamy , Florentin Smarandache
Publisher : Infinite Study
Page : 11 pages
File Size : 46,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups by Vasantha W.B. , Ilanthenral Kandasamy , Florentin Smarandache Pdf

Neutrosophic components (NC) under addition and product form different algebraic structures over different intervals. In this paper authors for the first time define the usual product and sum operations on NC. Here four different NC are defined using the four different intervals: (0, 1), [0, 1), (0, 1] and [0, 1].

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 44,7 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume IX by Florentin Smarandache Pdf

This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations

Author : Florentin Smarandache,Yanhui Guo
Publisher : Infinite Study
Page : 411 pages
File Size : 50,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations by Florentin Smarandache,Yanhui Guo Pdf

This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

Smarandache Special Elements in Multiset Semigroups

Author : W. B. Vasantha Kandasamy,Ilanthenral K
Publisher : Infinite Study
Page : 244 pages
File Size : 52,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9781599735641

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Smarandache Special Elements in Multiset Semigroups by W. B. Vasantha Kandasamy,Ilanthenral K Pdf

Authors in this book study the notion of Smarandache element in multiset semigroups. It is important to keep on record that we define four operations on multisets viz. +, X, union and intersection in a free way. Thus all sets finite or infinite order contribute to infinite order multisets and the semigroup under any of these operations is of infinite order.

NeutroAlgebra of Neutrosophic Triplets

Author : Vasantha Kandasamy,Ilantheral Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 47,6 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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NeutroAlgebra of Neutrosophic Triplets by Vasantha Kandasamy,Ilantheral Kandasamy,Florentin Smarandache Pdf

In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.

Neutrosophic Sets and Systems, vol. 50/2022

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 674 pages
File Size : 50,9 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 50/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment

Author : Muhammad Rayees Ahmad, Muhammad Saeed, Usman Afzal,Miin-Shen Yang
Publisher : Infinite Study
Page : 23 pages
File Size : 53,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment by Muhammad Rayees Ahmad, Muhammad Saeed, Usman Afzal,Miin-Shen Yang Pdf

In this paper, we advance the study of plithogenic hypersoft set (PHSS).We present four classifications of PHSS that are based on the number of attributes chosen for application and the nature of alternatives or that of attribute value degree of appurtenance. These four PHSS classifications cover most of the fuzzy and neutrosophic cases that can have neutrosophic applications in symmetry. We also make explanations with an illustrative example for demonstrating these four classifications. We then propose a novel multi-criteria decision making (MCDM) method that is based on PHSS, as an extension of the technique for order preference by similarity to an ideal solution (TOPSIS).

Single-Valued Neutrosophic Set Correlation Coefficient and Its Application in Fault Diagnosis

Author : Shchur Iryna,Yu Zhong,Wen Jiang,Xinyang Deng,Jie Geng
Publisher : Infinite Study
Page : 13 pages
File Size : 43,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Single-Valued Neutrosophic Set Correlation Coefficient and Its Application in Fault Diagnosis by Shchur Iryna,Yu Zhong,Wen Jiang,Xinyang Deng,Jie Geng Pdf

With the increasing automation of mechanical equipment, fault diagnosis becomes more and more important. However, the factors that cause mechanical failures are becoming more and more complex, and the uncertainty and coupling between the factors are getting higher and higher. In order to solve the given problem, this paper proposes a single-valued neutrosophic set ISVNS algorithm for processing of uncertain and inaccurate information in fault diagnosis, which generates neutrosophic set by triangular fuzzy number and introduces the formula of the improved weighted correlation coefficient. Since both the single-valued neutrosophic set data and the ideal neutrosophic set data are considered, the proposed method solves the fault diagnosis problem more eff ectively. Finally, experiments show that the algorithm can significantly improve the accuracy degree of fault diagnosis, and can better satisfy the diagnostic requirements in practice.

Semigroups on MOD Natural Neutrosophic Elements

Author : W B Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 52,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9781599733807

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Semigroups on MOD Natural Neutrosophic Elements by W B Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.

Neutrosophic ℵ −bi-ideals in semigroups

Author : K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun
Publisher : Infinite Study
Page : 13 pages
File Size : 55,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −bi-ideals in semigroups by K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun Pdf

In this paper, we introduce the notion of neutrosophic ℵ-bi-ideal for a semigroup. We infer different semigroups using neutrosophic ℵ -bi-ideal structures. Moreover, for regular semigroups, neutrosophic ℵ-product and intersection of neutrosophic ℵ-ideals are identical.

Neutrosophic ℵ −ideals in semigroups

Author : Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun
Publisher : Infinite Study
Page : 8 pages
File Size : 52,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −ideals in semigroups by Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun Pdf

The aim of this paper is to introduce the notion of neutrosophic ℵ −ideals in semigroups and investigate their properties. Conditions for neutrosophic ℵ −structure to be a neutrosophic ℵ −ideal are provided. We also discuss the concept of characteristic neutrosophic ℵ −structure of semigroups and its related properties.

Algebraic Structures of Semigroup by Rough Neutrosophic Ideals

Author : V.S. Subha,G. Rajasekar, S. Soundaravalli
Publisher : Infinite Study
Page : 8 pages
File Size : 49,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Algebraic Structures of Semigroup by Rough Neutrosophic Ideals by V.S. Subha,G. Rajasekar, S. Soundaravalli Pdf

In this article, we will look at the definition of rough neutrosophic set in semigroups and investigate their properties. We also introduce the concept of rough Neutrosophic (right,left,two-sided,bi-) ideals in a semigroup and study some properties of the ideals of semigroup.

Neutrosophic N-structures and their applications in semigroups

Author : Madad Khan,Saima Anis,Florentin Smarandache,Young Bae Jun
Publisher : Infinite Study
Page : 17 pages
File Size : 46,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic N-structures and their applications in semigroups by Madad Khan,Saima Anis,Florentin Smarandache,Young Bae Jun Pdf

The notion of neutrosophic N-structure is introduced, and applied it to semigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated.

A Classical Group of Neutrosophic Triplet Groups

Author : Vasantha KandasamyW.B.,Ilanthenral Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 43,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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A Classical Group of Neutrosophic Triplet Groups by Vasantha KandasamyW.B.,Ilanthenral Kandasamy,Florentin Smarandache Pdf

Fuzzy set theory was introduced by Zadeh and was generalized to the Intuitionistic Fuzzy Set (IFS) by Atanassov. Real-world, uncertain, incomplete, indeterminate, and inconsistent data were presented philosophically as a neutrosophic set by Smarandache, who also studied the notion of neutralities that exist in all problems.

Applications of Neutrosophic N-Structures In Ternary Semigroups

Author : Amornrat Rattana, Ronnason Chinram
Publisher : Infinite Study
Page : 20 pages
File Size : 55,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Applications of Neutrosophic N-Structures In Ternary Semigroups by Amornrat Rattana, Ronnason Chinram Pdf

In this paper, the notions of neutrosophic N -ternary subsemigroups of ternary semigroups are introduced and several properties are investigated.