{"title":"A Review on Symbolic 2-Plithogenic Algebraic Structures","authors":"N. Taffach, Ahmed Hatip","doi":"10.54216/gjmsa.050101","DOIUrl":"https://doi.org/10.54216/gjmsa.050101","url":null,"abstract":"The objective of this paper is to give a good review about the 2-plithogenic algebraic structures. Three kinds of algebraic structures will be revisited and discussed, symbolic 2-plithogenic rings, symbolic 2-plithogenic vector spaces, and 2-plithogenic modules.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"371 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121742844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras","authors":"Abd Alrida Basheer","doi":"10.54216/gjmsa.030203","DOIUrl":"https://doi.org/10.54216/gjmsa.030203","url":null,"abstract":"An implicative BCI algebra is a non empty set X with a special element O and a binary operation * with many clear conditions.In this work, we study the topological space and present some properties especially the compactness and connection. Also, we prove that it is a Hausdorff space and regular.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122098825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Introduction to Weak Fuzzy Complex Numbers","authors":"Ahmed Hatip","doi":"10.54216/gjmsa.030101","DOIUrl":"https://doi.org/10.54216/gjmsa.030101","url":null,"abstract":"The objective of this paper is to define for the first time the concept of weak fuzzy complex numbers as a novel generalization of real numbers. Also, it presents some of their elementary properties and algorithms for solving some related algebraic equations.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121175730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. A. Salama, M. Alaswad, Rasha Dallah, Rozina Ali
{"title":"A Study of Neutrosophic Bernoulli's and Recati Differential Equations","authors":"A. A. Salama, M. Alaswad, Rasha Dallah, Rozina Ali","doi":"10.54216/gjmsa.010205","DOIUrl":"https://doi.org/10.54216/gjmsa.010205","url":null,"abstract":"In this paper, we study the neutrosophic Bernouli and Ricatti differential equations by using one dimensional AH-isometry. Also, we illustrate many examples to clarify the validity of our work.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115608889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. A. Basheer, O. V. Shtawzen, Maretta Sarkis, Rozina Ali
{"title":"On Some Results about Finite Non Simple Groups","authors":"A. A. Basheer, O. V. Shtawzen, Maretta Sarkis, Rozina Ali","doi":"10.54216/gjmsa.010203","DOIUrl":"https://doi.org/10.54216/gjmsa.010203","url":null,"abstract":"This paper is dedicated to study some properties of finite groups, where we present the following results: 1) If all centralizers of a group G are cyclic, then G is not simple. 2) If the center of the subgroup A is not trivial and B is cyclic, then G=AB is not simple. On the other hand, we define the m-solvable groups, and we examine some of their elementary properties.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133143928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights","authors":"Rama Asad Nadweh","doi":"10.54216/gjmsa.070102","DOIUrl":"https://doi.org/10.54216/gjmsa.070102","url":null,"abstract":"Fuzzy logic plays a huge role in the symbolic inference and causality associated with modern cognitive human systems. In this paper, we present a mathematical method that defines the mechanism of forming a hybrid structure in which neural networks and expert systems are connected so that one forms a primary processing stage for the other, where the neural network can act as a primary processor that processes low-level information, or as an internal Subsystem for learning tasks or generalization and classification. Where neural networks can be used to generate rules using training data and then submit these rules to be used by a fuzzy system to give the final results.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133284627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Study of Neutrosophic Real Analysis by Using the One-Dimensional Geometric AH-Isometry","authors":"Mohammad Abobala, M. B. Zeina","doi":"10.54216/gjmsa.030103","DOIUrl":"https://doi.org/10.54216/gjmsa.030103","url":null,"abstract":"The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic numbers to any power is well defined including rising to neutrosophic powers.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127800305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Conditions of Imperfect Neutrosophic Duplets and Imperfect Neutrosophic Triplets","authors":"Hamiyet Merkepçi, Katy D. Ahmad","doi":"10.54216/gjmsa.020201","DOIUrl":"https://doi.org/10.54216/gjmsa.020201","url":null,"abstract":"In any neutrosophic ring R(I), an imperfect neutrosophic duplet consists of two elements x,y with a condition xy=yx=x and an imperfect neutrosophic triplet consists of three elements x,y,z with condition xy=yx=x,yz=zy=z,and xz=zx=y. The objective of this paper is to determine the necessary and sufficient conditions for neutrosophic duplets and triplets in any neutrosophic ring R(I), and to determine all triplets in Z(I).","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115433549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Results about Cauchy Improper Integral","authors":"Arwa A. Hajjari","doi":"10.54216/gjmsa.010201","DOIUrl":"https://doi.org/10.54216/gjmsa.010201","url":null,"abstract":"The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)/(x-t)^m dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"167 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116299892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analyzing on My Turf Game Over Some Finite Non-Abelian Groups","authors":"Mohammad Abobala","doi":"10.54216/gjmsa.010101","DOIUrl":"https://doi.org/10.54216/gjmsa.010101","url":null,"abstract":"The aim of this paper is to solve the “ON MY TURF\" game over some finite nonabelian groups. Also, it presents the following results: 1-) If G has odd order, and the set F contains the identity element, then the first player A has a winning strategy. If F does not contain the identity, then B has a winning strategy. 2-) If G has an even order with only one element of order two, there is a winning strategy related to set F. 3-) If G has an even order with only three elements of order two which generate a subgroup isomorphic to Z2 × Z2, there is a winning strategy related to the set F.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124465307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}