https://uav.ro/applications/se/journal/index.php/TAMCS/issue/feed Theory and Applications of Mathematics & Computer Science 2020-12-31T07:59:30+02:00 Tomescu Marius-Lucian tom_uav@yahoo.com Open Journal Systems <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4;} @font-face {font-family:Tahoma; panose-1:2 11 6 4 3 5 4 4 2 4;} @font-face {font-family:"Century Schoolbook"; panose-1:2 4 6 4 5 5 5 2 3 4;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {margin-top:0in; margin-right:0in; margin-bottom:10.0pt; margin-left:0in; line-height:115%; font-size:11.0pt; font-family:"Calibri","sans-serif";} a:link, span.MsoHyperlink {color:blue; text-decoration:underline;} a:visited, span.MsoHyperlinkFollowed {color:purple; text-decoration:underline;} em {font-weight:bold; font-style:normal;} p.MsoAcetate, li.MsoAcetate, div.MsoAcetate {mso-style-link:"Balloon Text Char"; margin:0in; margin-bottom:.0001pt; font-size:8.0pt; font-family:"Tahoma","sans-serif";} p.msopapdefault, li.msopapdefault, div.msopapdefault {mso-style-name:msopapdefault; margin-right:0in; margin-bottom:10.0pt; margin-left:0in; line-height:115%; font-size:12.0pt; font-family:"Times New Roman","serif";} p.msochpdefault, li.msochpdefault, div.msochpdefault {mso-style-name:msochpdefault; margin-right:0in; margin-left:0in; font-size:10.0pt; font-family:"Times New Roman","serif";} span.BalloonTextChar {mso-style-name:"Balloon Text Char"; mso-style-link:"Balloon Text"; font-family:"Tahoma","sans-serif";} .MsoChpDefault {font-size:10.0pt;} .MsoPapDefault {margin-bottom:10.0pt; line-height:115%;} @page Section1 {size:8.5in 11.0in; margin:1.0in 1.0in 1.0in 1.0in;} div.Section1 {page:Section1;} --> <div class="Section1"> <p class="MsoNormal" style="text-align: justify; text-indent: .5in; line-height: normal; margin: 12.0pt 0in 12.0pt 0in;"><strong><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #000000;"> Theory Appl. Math. Comput. Sci. <br>An International Journal Focused on Fuzzy Methods</span></strong></p> <p class="MsoNormal" style="text-align: justify; text-indent: .5in; line-height: normal; margin: 12.0pt 0in .0001pt 0in;"><strong><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #000000;">ISSN 2067-2764; E-ISSN 2247-6202</span></strong></p> <p>&nbsp;</p> <p class="MsoNormal" style="text-align: justify; text-indent: .5in; line-height: normal; margin: 12.0pt 0in .0001pt 0in;"><strong><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #000000;"> Journal Scope </span></strong></p> <p class="MsoNormal" style="text-align: justify; text-indent: .5in; line-height: normal; margin: 12.0pt 0in .0001pt 0in;"><strong><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #b91b0f;">The journal “Theory and Applications of Mathematics &amp; Computer Science (TAMCS)” publishes high-quality original articles and state-of-the-art surveys in the areas of pure and applied mathematics and computer science, but giving a preference in presenting works in the theory and applications of fuzzy sets and systems in the areas of mathematics, artificial intelligence and control.</span></strong></p> <p>&nbsp;</p> <p class="MsoNormal" style="text-align: justify; text-indent: .5in; line-height: normal; margin: 12.0pt 0in .0001pt 0in;"><strong><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #000000;"> Journal Topics </span></strong></p> <p class="MsoListParagraphCxSpFirst" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;">Fuzzy mathematics</span></strong></p> <p class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;">Artificial intelligence</span></strong></p> <p class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;"> Fuzzy control systems</span></strong></p> <p class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;">Functional analysis</span></strong></p> <p class="MsoListParagraphCxSpLast" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;">Operator theory</span></strong></p> <p class="MsoListParagraphCxSpFirst" style="mso-add-space: auto; text-align: justify; text-indent: -.25in; mso-list: l1 level1 lfo2; margin: 12.0pt 0in 12.0pt 3.5in;"><!-- [if !supportLists]--><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: Wingdings; mso-fareast-font-family: Wingdings; mso-bidi-font-family: Wingdings; color: #b91b0f; mso-bidi-font-weight: bold;"><span style="mso-list: Ignore;">v</span></span><!--[endif]--><strong><span style="font-size: 13.0pt; mso-bidi-font-size: 12.0pt; font-family: 'Century Schoolbook','serif'; mso-fareast-font-family: 'Times New Roman'; color: #b91b0f;"> Differential equations</span></strong></p> <p>&nbsp;</p> <p>&nbsp;</p> <p class="MsoNormal" style="text-align: justify; line-height: 200%; margin: 0in 35.3pt .0001pt 0in;">&nbsp;</p> <p class="MsoNormal" style="text-align: justify; line-height: 200%; margin: 0in 35.3pt .0001pt 0in;">&nbsp;</p> <p class="MsoNormal" style="text-align: justify; line-height: 200%; margin: 0in 35.3pt .0001pt 0in;"><strong><span style="font-size: 13.0pt; line-height: 200%; font-family: 'Century Schoolbook','serif'; color: #b91b0f;">Abstracting / Indexing in:</span></strong></p> <p>&nbsp;<strong><strong><strong><span style="font-size: 13.0pt; line-height: 200%; font-family: 'Arial Black','sans-serif'; color: #c00000;">Mathematical Reviews® (MathSciNet®)&nbsp;</span></strong></strong></strong></p> <strong><strong><strong> <br><img src="/applications/se/journal/public/site/images/admin/zbmath.gif" alt=""> <span style="font-size: 13.0pt; line-height: 115%; font-family: 'Century Schoolbook','serif'; color: #b91b0f;"><span style="font-size: 13.0pt; font-family: 'Century Schoolbook','serif'; color: #b91b0f;"><img src="/applications/se/journal/public/site/images/admin/centralProquest.jpg" alt=""> <img src="/applications/se/journal/public/site/images/admin/03-16_EBSCOhost_3.gif" alt="" width="214" height="68"> </span></span></strong></strong></strong> <p>&nbsp;</p> <p class="MsoNormal" style="text-align: justify; line-height: 200%; margin: 0in 35.3pt .0001pt 0in;">&nbsp;</p> <p class="MsoNormal" style="text-align: justify; line-height: 200%; margin: 0in 35.3pt .0001pt 0in;"><strong><strong><span style="font-size: 14.0pt; line-height: 200%; font-family: 'Century Schoolbook','serif'; color: #0975bf;">Urlich’s Periodicals Directory.</span></strong></strong></p> </div> <div class="Section1"><br> <p class="MsoNormal" style="line-height: normal;">&nbsp;</p> <p class="MsoNormal"><strong>&nbsp;</strong></p> </div> https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/186 Realizers of Partially Ordered Multisets 2020-08-28T23:07:02+03:00 F. Balogun tom_uav@yahoo.com D. Singh tom_uav@yahoo.com Y. Tella tom_uav@yahoo.com <p>In this paper, the concept of a realizer of an ordered set is generalized for ordered multisets. The ordered multiset structure is defined via the ordering induced by a partially ordered base set. The notion of realizers is shown to be well defined for the proposed multiset structure. Consequently, some analogous results on realizers are obtained in the multiset setting.</p> 2020-08-28T00:00:00+03:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/187 Properties of Linearly Independent Solutions of Second Order Linear Differential Equations 2020-08-29T18:23:53+03:00 Mohammed Amin Abdellaoui sds@eee.ro Benharrat Belaïdi sds@eee.ro <p><img src="/applications/se/journal/public/site/images/admin/Capture1.JPG"></p> 2020-08-29T18:23:53+03:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/188 A Finite Difference Approach to the Solution of Elliptic Boundary value Problems with Nonlocal Boundary Condition in PDEs 2020-09-13T08:11:23+03:00 Pramod Kumar Pandey tom_uav@yahoo.com <p>In the article Poisson equation and corresponding boundary value problem with nonlocal boundary condition in two dimension space is considered. A numerical technique based on the finite difference method is proposed for the approximate solution of a considered problem. The computational results in numerical experiment on linear and nonlinear model test problems are presented to validate the proposed idea. Theoretically analyzed and established the convergence of the proposed method.</p> 2020-09-13T00:00:00+03:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/190 An Application of Generalized Bessel functions on Two Subclasses of Analytic Functions 2020-11-13T10:09:04+02:00 B.A. Frasin hghhg@ddd.ro <p>Two subclasses H(β<sub>1</sub>,β<sub>1</sub>,...,β<em><sub>k</sub></em>;α) and G(β<sub>1</sub>,β<sub>1</sub>,...,β<em><sub>k</sub></em>;α) of analytic functions are introduced. The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind <em>z</em>(2 − <em>u<sub>p</sub></em>(<em>z</em>)) to be in these classes. Furthermore, we consider an integral operator related to the generalized Bessel functions.</p> 2020-11-13T10:06:55+02:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/192 Elements of the Theory of Nested Named Sets 2020-12-07T22:35:55+02:00 M. Burgin tom_uav@yahoo.com <p>The goal of this paper is exploration of an important phenomenon called nesting, which plays a weighty role in many areas including mathematics and computer science. In mathematics, we can see nesting in algebraic and arithmetical expressions, in functions on rings of functions, in simplicial complexes, in various formulas, and other mathematical constructions. In computer science and technology, there are nested calls; nesting of several levels of subroutines; nesting in recursive calls; nested levels of parentheses in arithmetical expressions; nested blocks of imperative source code such as nested if-clauses, while-clauses or repeat-until clauses; nesting in information hiding; and nested data structures such as records, objects, classes, etc. Here we elaborate mathematical foundations for modeling and study of the systems with nesting as well as for measuring different attributes of nesting.</p> 2020-12-07T00:00:00+02:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/193 Possibility to Construct a Photonic Hypercomputer 2020-12-13T22:22:33+02:00 Takaaki Musha tom_uav@yahoo.com <p>On the basis of a theorem, in which an evanescent photon is a superluminal particle, the author considers the possibility of realizing a high performance computer system compared with conventional silicon processors. To realize such a quantum computer utilizing evanescent photons, we must replace electronic components with optical ones, and thus an equivalent optical transistor is required. This critical component for quantum computing can be created using meta-material circuits with a non-linear refractive index. Based on this optical computer system, utilizing metamaterial technology, it can be shown that superluminal computation, which is a new concept for hypercomputation, can be realized in the physical world.</p> 2020-12-13T00:00:00+02:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/194 Extensions of Stekloff and Almansi Inequalities to the Complex Integral 2020-12-28T19:17:12+02:00 S. S. Dragomir tom_uav@yahoo.com <p>In this paper we establish some extensions of Stekloff and Almansi inequalities to the complex integral. Applications for bounding the complex <em>Čebyšev</em><em>&nbsp;functionalˇ </em>are also given.</p> 2020-12-28T00:00:00+02:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science https://uav.ro/applications/se/journal/index.php/TAMCS/article/view/195 Strongly Invariant Submultigroups 2020-12-31T07:59:30+02:00 Usman Adamu tom_uav@yahoo.com Musa Adeku Ibrahim tom_uav@yahoo.com <p>In this paper, strongly invariant submultigroup idea was introduced as an extension of strongly invariant subgroup and its properties are presented. Specifically, it was proved that fully invariant direct factor of a multigroup is strongly invariant while on the diagonal submultigroup the reverse is the case. The idea was investigated on torsion, mixed and cyclic multigroups and established that every submultigroup of a torsion multigroup is strongly invariant, the intersection of torsion part of a mixed multigroup <em>A </em>is strongly invariant in <em>A </em>and a multigroup over a cyclic group of prime order is strongly invariant simple.</p> 2020-12-31T07:56:50+02:00 Copyright (c) 2020 Theory and Applications of Mathematics & Computer Science