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Neutrosophic Superhyperalgebra And New Types Of Topologies, Florentin Smarandache, Memet Sahin, Derya Bakbak, Vakkas Uluçay, Abdullah Kargı

Branch Mathematics and Statistics Faculty and Staff Publications

In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P^2(S) } and so on.

That’s why the n-th PowerSet of a Set S { defined recursively and denoted by P^n(S) = P(P^(n-1)(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world.

The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order …

Decision Making Based On Valued Fuzzy Superhypergraphs, Mohammad Hamidi, Florentin Smarandache, Mohadeseh Taghinezhad

Branch Mathematics and Statistics Faculty and Staff Publications

This paper explores the defects in fuzzy (hyper) graphs (as complex (hyper) networks) and extends the fuzzy (hyper) graphs to fuzzy (quasi) superhypergraphs as a new concept. We have modeled the fuzzy superhypergraphs as complex superhypernetworks in order to make a relation between labeled objects in the form of details and generalities. Indeed, the structure of fuzzy (quasi) superhypergraphs collects groups of labeled objects and analyzes them in the form of the part to part of objects, the part of objects to the whole group of objects, and the whole to the whole group of objects at the same time. …

On Single-Valued Neutrosophic Soft Uniform Spaces, Yaser Saber, Hanan Alohali, Tawfik Elmasry, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we introduce the notion of single-valued neutrosophic soft uniform spaces as a view point of the entourage approach. We investigate the relationship among single-valued neutrosophic soft uniformities, single-valued neutrosophic soft topologies and single-valued neutrosophic soft interior operators. Also, we study several single-valued neutrosophic soft topologies induced by a single-valued neutrosophic soft uniform space.

Several New Types Of Neutrosophic Set, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In the literature, new types of neutrosophic sets have been introduced in the meantime by the growing neutrosophic community. We present a few: Pythagorean Neutrosophic Set, Fermatean Neutrosophic Set, Generalized Fermatean Neutrosophic Set, n-power Neutrosophic Set, Cubic Spherical Neutrosophic Set, Spherical Neutrosophic Set, n-HyperSpherical Neutrosophic Set, Refined n-HyperSpherical Neutrosophic Set.

Solar Power Plant Location Selection Problem By Using Electre-Iii Method In Pythagorean Neutrosophic Programming Approach (A Case Study On Green Energy In India), Florentin Smarandache, Rajesh Kumar Saini, Ashik Ahirwar Ahirwa

Branch Mathematics and Statistics Faculty and Staff Publications

India dropped its target of generating 500 GW of renewable energy capacity from non responsibilities to ations Framework Convention on reducing carbon Abstract: India dropped its target of 500 GW of renewable energy capacity fossil fuel sources by 2030. Its responsibilities the United Nations Framework Conven Climate Change [UNFCCC],and reducing radiations by one billion tonnes by the end of the decade at the COP26 conference, held in Glasgow in November 2022.Researchers are continually searching for inexhaustible and reasonable energy sources. Solar energy is one of the greenest sources of energy and is also one of the cleanest. The most important …

Optimal Agricultural Land Use: An Efficient Neutrosophic Linear Programming Method, Maisam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The increase in the size of the problems facing humans, their overlap, the division of labor, the multiplicity of departments, as well as the diversity of products and commodities, led to the complexity of business and the emergence of many administrative and production problems. It was necessary to search for appropriate methods to confront these problems. The science of operations research, with its diverse methods, provided the optimal solutions. It addresses many problems and helps in making scientific and thoughtful decisions to carry out the work in the best way within the available capabilities. Operations research is one of the …

Linguistic Multidimensional Spaces, W. B. Vasantha Kandasamy, Ilanthenral K., Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book extends the concept of linguistic coordinate geometry using linguistic planes or semi-linguistic planes. In the case of coordinate planes, we are always guaranteed of the distance between any two points in that plane. However, in the case of linguistic and semi-linguistic planes, we can not always determine the linguistic distance between any two points. This is the first limitation of linguistic planes and semi-linguistic planes.

Special Subset Linguistic Topological Spaces, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set, ling variable, ling continuum, etc. Specific basic linguistic algebraic structures, like linguistic semigroup linguistic monoid, are introduced. Also, algebraic structures to linguistic square matrices are defined and described with examples. For the first time, non-commutative linguistic topological spaces are introduced. The notion of a linguistic special subset of doubly non-commutative topological spaces of linguistic topological spaces is introduced in this …

Neutrosophic Transport And Assignment Issues (Arabic Version), Florentin Smarandache, Maissam Ahmad Jdid

Branch Mathematics and Statistics Faculty and Staff Publications

We all know that problems of transportation and allocation appear frequently in practical life. We need to transfer materials from production centers to consumption centers to secure the areas’ need for the transported material or allocate machines or people to do a specific job at the lowest cost, or in the shortest time. We know that the cost factors Time is one of the most important factors that decision-makers care about because it plays an “important” role in many of the practical and scientific issues that we face in our daily lives, and we need careful study to enable us …

Neutrosophic Transport And Assignment Issues, Florentin Smarandache, Maissam Ahmad Jdid

Branch Mathematics and Statistics Faculty and Staff Publications

We all know that problems of transportation and allocation appear frequently in practical life. We need to transfer materials from production centers to consumption centers to secure the areas’ need for the transported material or allocate machines or people to do a specific job at the lowest cost, or in the shortest time. We know that the cost factors Time is one of the most important factors that decision-makers care about because it plays an “important” role in many of the practical and scientific issues that we face in our daily lives, and we need careful study to enable us …

On Refined Neutrosophic Finite P-Group, Sunday Adesina Adebisi, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent.

Neutrosophic Treatment Of The Modified Simplex Algorithm To Find The Optimal Solution For Linear Models, Florentin Smarandache, Maissam Ahmad Jdid

Branch Mathematics and Statistics Faculty and Staff Publications

Science is the basis for managing the affairs of life and human activities, and living without knowledge is a form of wandering and a kind of loss. Using scientific methods helps us understand the foundations of choice, decision-making, and adopting the right solutions when solutions abound and options are numerous. Operational research is considered the best that scientific development has provided because its methods depend on the application of scientific methods in solving complex issues and the optimal use of available resources in various fields, private and governmental work in peace and war, in politics and economics, in planning and …

The Fluid Margin Between Physical Causal Closure And Non-Physical Causal Closure, Extended To The Neutrosophic Causal Closure Principle, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

We plead for a fluid margin, or mixed/indeterminate buffer zone, between Physical and Non-Physical Causal Closures, and for a Neutrosophic Causal Closure Principle claiming that the chances of all physical effects are determined by their prior partially physical and partially non-physical causes.

Chi-Square Test For Imprecise Data In Consistency Table, Muhammad Aslam, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we propose the introduction of a neutrosophic chi-square-test for consistency, incorporating neutrosophic statistics. Our aim is to modify the existing chi-square -test for consistency in order to analyze imprecise data. We present a novel test statistic for the neutrosophic chi-square -test for consistency, which accounts for the uncertainties inherent in the data. To evaluate the performance of the proposed test, we compare it with the traditional chi-square -test for consistency based on classical statistics. By conducting a comparative analysis, we assess the efficiency and effectiveness of our proposed neutrosophic chi-square-test for consistency. Furthermore, we illustrate the application …

Development Of Some New Hybrid Structures Of Hypersoft Set With Possibility-Degree Settings, Atiqe Ur Ur Rahman, Florentin Smarandache, Muhammad Saeed, Khuram Ali Khan

Branch Mathematics and Statistics Faculty and Staff Publications

The concept of a hypersoft membership function is introduced in the extension of a soft set known as a hypersoft set, permitting it to handle complicated and uncertain information in a more powerful and flexible manner. Many academics have already become fascinated with this new area of study, leading to the development of a number of hybrid structures. This chapter develops some new hybrid hypersoft set structures by taking into account multiple fuzzy set-like settings and possibility degree-based settings collectively. Additionally, numerical examples are included to clarify the concept of these structures. Researchers can utilize this work to better understand …

Graphical Method For Solving Neutrosophical Nonlinear Programming Models, Florentin Smarandache, Maissam Ahmad Jdid

Branch Mathematics and Statistics Faculty and Staff Publications

An important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. The models that contain only two variables are among the most models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references and research that are concerned with the science of operations research, when the data of the issue under study is classical data. In this research, we will present a study through, which we present the graphical method …

Advances And Applications Of Dsmt For Information Fusion. Collected Works, Volume 5, Florentin Smarandache, Jean Dezert, Albena Tchamova

Branch Mathematics and Statistics Faculty and Staff Publications

This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered.

First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of …

Approach To The Personnel Selection Process In A Group Decision-Making Environment Based On The Psi Method, Maja Stanujkic, Gabrijela Popovic, Dragisa Stanujkic, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The selection of adequate personnel is significant for the successful operation of companies. Therefore, this article observed the application of the Preference Selection Index (PSI) method for evaluating personnel in the conditions of group decision-making. The PSI method was chosen because it does not require determining the weights of the criteria, which is why it can be suitable for application by HR managers unfamiliar with the application of multiple criteria decision-making methods.

Beyond Negation And Excluded Middle: An Exploration To Embrace The Otherness Beyond Classical Logic System And Into Neutrosophic Logic, Florentin Smarandache, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

As part of our small contribution in dialogue toward better peace development and reconciliation studies, and following Toffler & Toffler’s War and Antiwar (1993), the present article delves into a realm of logic beyond the traditional confines of negation and the excluded middle principle, exploring the nuances of "Otherness" that transcend classical and Nagatomo logics. Departing from the foundational premises of classical Aristotelian logic systems, this exploration ventures into alternative realms of reasoning, specifically examining Neutrosophic Logic and Klein bottle logic (cf. Smarandache, 2005). The study challenges conventional boundaries and explores the implications of embracing paradoxes and self-reference in logic …

Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.

Graphical Method For Solving Neutrosophical Nonlinear Programming Models, Maissam Ahmad Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

One important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. Models that contain only two variables are models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references that rely on classical logic. In this research, we present a study through which we present the graphical method for solving nonlinear neutrosophical models in the following case: (1) The objective function is a nonlinear function, and the constraints are linear …

On Characterizing Efficient And Properly Efficient Solutions For Multi- Objective Programming Problems In A Complex Space, Alhanouf Alburaikan, Hamiden Abd El-Wahed Khalifa, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, a complex non- linear programming problem with the two parts (real and imaginary) is considered. The efficient and proper efficient solutions in terms of optimal solutions of related appropriate scalar optimization problems are characterized. Also, the Kuhn-Tuckers' conditions for efficiency and proper efficiency are derived. This paper is divided into two independently parts: The first provides the relationships between the optimal solutions of a complex single-objective optimization problem and solutions of two related real programming problems. The second part is concerned with the theory of a multi-objective optimization in complex space.

Higher-Degree Asymptotes Of A Rational-Polynomial Function, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

By a straight-forward method we extend the horizontal and slant asymptotes to the higher -degree asymptotes of a function, and we give several examples and prove a theorem.

Another Way To Divide Two Complex Numbers: Identification Method, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this short note to design another method to divide two complex numbers and present a numerical example.

Application Of Information And Communication Technology (Ict) In Service Delivery In Nigerian Private University Libraries, Jane C. Anyanwu Odu

Library Philosophy and Practice (e-journal)

Information and Communication Technologies have pervaded every sphere of human endeavour and nowhere has its impact been felt more than in the library. ICT covers all forms of computer and communications equipment and software used to create, design, store, transmit, interpret and manipulate information in its various formats. Personal computers, laptops, tablets, mobile phones, transport systems, televisions, and network technologies are just some examples of the diverse array of ICT tools. The research was carried out because of the need to fill the knowledge gap of how private university libraries have utilized information and communication technologies to deliver services to …

Lecturers' Awareness, Perception, And Utilization Of Institutional Repositories In Two Universities In Nigeria, Jemilat Iyabo Arilesere, Gafar Abiodun Akinosho Mr

Library Philosophy and Practice (e-journal)

The purpose of this study was to examine the lecturer's awareness, perception, and utilization of institutional repositories in two universities in Nigeria. The universities include Ahmadu Bello University, Zaria, and the University of Jos. The research design adopted for the study was correlational research design, while the questionnaire was the instrument used for data collection. The questionnaire was grouped into five sections and most of the questions were close-ended. Also, the validity and reliability of the questionnaire were done in order to obtain the desired results. Out of 642 questionnaires distributed, 473 were completed, returned, and found suitable for use. …

Challenges And Prospects Of Library And Information Services In Academic Libraries In Nigeria, Josiah Chukwumaobi Nworie, Elvis Uchenna Ubochi, Charity Iwuchukwu, Chioma Chinyere Njoku

Library Philosophy and Practice (e-journal)

Every activity that is being done and carried out in the library is aimed at delivering services to the users and the community that is hosting the library. The services that libraries render cannot be overemphasized especially the Academic library. Their advantages are numerous and help towards the growth and development of the society. Libraries have continued to evolve since its operation, and the emergence of Information and Communication Technologies (ICTs) has changed alot about librarianship all over the world. Many new concepts are being introduced, yet, not without their challenges and prospects. No academic library is devoid of challenges; …

Human Resource Development Practices In Academic Libraries In Tertiary Institutions In Nigeria, Cajetan Okechukwu Onyeneke, Doris Chiemeka Obasi

Library Philosophy and Practice (e-journal)

This study examined human resource development practices in academic libraries in non-university tertiary institutions in Imo State, Nigeria. Four research questions and four hypotheses guided the study. A descriptive survey design was used for the study. A census study technique was adopted to cover the entire population of one hundred and fifty-two (152) library staff in the four public tertiary institutions in Imo State. A rating scale titled “Human Resource Development Practices Rating Scale (HRDPRS) was used to collect data for the study. A reliability index was established using Pearson Product Moment Correlation (PPMC) and it was (r) 0.82. The …

Application Of Icts In Federal University Lokoja Library, Ayooluwa Aregbesola, Juliet Omale, Dauda Yahaya

Library Philosophy and Practice (e-journal)

This research study, application of ICT in newly Established Federal University Library in Nigeria; a case study of Federal University Lokoja. The research was guided by five research questions. Survey research method was used and questionnaire was the instrument for data collection. Mean scores where used to analyze the data generated. From the analyzed data, it was discovered that ICTs are averagely applicable though it has enormously benefited some library services in Federal University Lokoja, Library. The challenges identified were inadequate ICT facilities, Epileptic power supply and poor network facilities. In consonant with the vision of Federal University Lokoja Library, …

Attitude, Perception And Practice Towards Pleasure Reading Among University Students: A Case Study, Md. Sakib Biswas

Library Philosophy and Practice (e-journal)

This study investigates the attitudes, perceptions and practices of pleasure reading among the undergraduate and graduate students of Dhaka University. Undergraduate and Graduate students under three major faculties i.e. Arts and Social Sciences; Business Studies; and Science, Engineering & Technology have been selected to participate in this survey. A total of 300 questionnaires have been distributed among the interested participants and the libraries of the concerned faculties were selected for selecting respondents randomly. Systematic random sampling method has been deployed for the convenient of the study. Data analysis has been done using SPSS Version 25 and MS Excel. The study …