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The Pamssem Approach For Multi-Attribute Group Decision-Making Using Single-Valued Neutrosophic Sets: Applications To Evaluating The Effectiveness Of College Students' Psychological Education, Xiaolan Liang

Neutrosophic Sets and Systems

The evaluation of the effectiveness of college students' psychological education involves using scientific approaches and tools to assess the actual impact of psychological education on improving students' mental health, fostering personality development, and enhancing psychological adjustment abilities. The evaluation covers aspects such as students' mental health status, the achievement of educational goals, the effectiveness of interventions, and student satisfaction. Through such evaluations, psychological education programs can be optimized to improve quality, help students better cope with psychological challenges in academics, life, and relationships, and promote their holistic development and healthy growth. The results also provide a scientific basis for continuous …

Statistical Analysis Of Foreign Investment Using Neutrosophic Interval Based Approach, Jamil Afzal, Naim Mathlouthi, Mohamed Saer Rahal, Chen Yongmei, Aftab Haider, Muhammad Adeel Afzal

Neutrosophic Sets and Systems

Pakistan, a nation at the crossroads of South Asia, has been actively striving to attract foreign investment to boost its economic growth and development. As a country rich in natural resources, with a young and vibrant workforce, and a strategic geographic location, Pakistan offers significant opportunities for foreign investors seeking to explore new markets and tap into its potential. The foreign investment policies in Pakistan have undergone substantial reforms over the years to create a more investor-friendly environment. These policies are designed to facilitate and incentivize foreign direct investment while ensuring the protection of investors' rights and contributing to the …

The First Resolution Of The Travelling Salesman Problem Under Neutrosophic Octagonal Fuzzy Environment, Mariem Miledia, Taicir Loukilb, Souhail Dhouiba

Neutrosophic Sets and Systems

The Travelling Salesman Problem (TSP) is a challenging combinatorial optimization problem classified as NP-hard. Its objective is to identify the shortest cycle that visits every city precisely once before returning to the initial city. To the best of our knowledge there is no one in the literature who solved the TSP under the neutrosophic octagonal fuzzy environment. That’s why, in this paper the novel heuristic namely Dhouib-Matrix-TSP1 (DM-TSP1) is exploited to optimize the TSP under the neutrosophic octagonal fuzzy domain. So, this research work represents the first application of DM-TSP1 on this mentioned environment. A defuzzification function is used to …

Neutrosophic Soft Sets In One And Two-Dimensions Using Iteration Method, M.N. Bharathi, G. Jayalalitha

Neutrosophic Sets and Systems

This paper introduces a different perspective of Neutrosophic Fractals and Neutrosophic Soft Fractals, merging the principles of Neutrosophic Logic, Soft set theory, and Fractal Geometry to address indeterminacy in complex, self-similar structures specifically the Von Koch curve and the Sierpinski triangle. It sightsees the complex qualities of Neutrosophic soft sets by incorporating attributes of falsification, indefiniteness, and truth into union and intersection operations. The research elucidates the interplay between Neutrosophic Logic and fractal geometry, leading to more precise modeling of complex systems. Proving theorems and providing examples examine the intricate interactions between membership characteristics in these fractal structures, demonstrating self-similarity. …

Some Harmonic Aggregation Operators For N-Valued Neutrosophic Trapezoidal Numbers And Their Application To Multi-Criteria Decision-Making, İrfan Deli̇, Vakkas Uluçay

Neutrosophic Sets and Systems

As an extension of the both trapezoidal fuzzy numbers and neutrosophic trapezoidal numbers, the N-valued neutrosophic trapezoidal numbers, which are special neutrosophic multi-sets on subset of real numbers. Harmonic mean is a conservative average, which is widely used to aggregate central tendency data. In the existing literature, the harmonic mean is generally considered as a fusion technique of numerical data information. In this paper, we investigate a method for the situations in which the input data are expressed in neutrosophic values. Therefore, we propose two aggregations are called harmonic aggregation operators and weighted harmonic mean operators on N-valued neutrosophic trapezoidal …

Innovative Assessment Of Dance Teaching Effectiveness Using The Electre Approach And Neutrosophic Hypersoft Sets For Comprehensive Performance Analysis, Pei Yao

Neutrosophic Sets and Systems

The evaluation of dance teaching quality in universities is a process of assessing the effectiveness of dance courses through multiple dimensions. The focus is on examining students' improvement in dance skills, artistic expression, mastery of theoretical knowledge, teaching methods, and the learning environment. By using scientific evaluation methods, such as multi attribute decision-making models, the quality of teaching is quantified and optimized, promoting students' overall development and the improvement of teaching practices. The evaluation of dance teaching quality is often considered a multiple attribute group decision-making (MAGDM) problem. In this paper, the ELECTRE method is proposed to address MAGDM using …

A Neutrosophic Approach To Solving First-Order Differential Equations: Applications To Heat Convection With Uncertain Initial Conditions, Said Broumi, M. Shanmugapriya, R. Sundareswaran

Neutrosophic Sets and Systems

This study explores the solution of first-order differential equations (����) using trapezoidal neutrosophic numbers (����������������������) as initial conditions. It examines various forms of ���������������������� based on the dependencies of truth (��), indeterminacy (��), and falsity (��). The application first order DE is illustrated through heat conduction problems in fluids. The temperature distribution ��1(��,��), � �2(��,��), ��1′(��, ��), ��1′′(��, ��), ��2 ′(��, ��) and ��2 ′′(��, ��) are analyzed through tables and graphs. A solution procedure for the system of first-order ODEs is developed and demonstrated with numerical examples.

The “Mitssp” Strategy And Its Impact On The Development Of Critical Thinking: A Study Based On Neutrosophic Statistics, Flor De María Ureta-Chávez, Nélida Angela Beraun-Sánchez, Yris Yolanda Bedoya-Campos, Wilber Huamanyauri-Cornelio, Edgar Augusto Salinas-Loarte, Beker Maraza-Vilcanqui, Rosaluz Victoria Bardales-Gonzales, Arcadio Aguirre-Rojas

Neutrosophic Sets and Systems

Nowadays, with the massive use of Information and Communication Technologies and social networks, it is more necessary than ever for citizens to develop critical thinking. Information media such as the Internet are flooded with false ideas, totally or partially. That is why it is necessary to provide young people with critical thinking that allows them to differentiate what is true from what is false, or even to identify dubious information. Based on the scientific method and under the protection of the educational research methodology, this article aims to demonstrate the effectiveness of the MITSSP strategy for the de velopment of …

Energy Of A Neutrosophic Soft Set And Its Applications To Multi-Criteria Decision-Making Problems, Zeynep Baser, Vakkas Ulucay

Neutrosophic Sets and Systems

In our paper, we continue the study of the theory of neutrosophic soft sets and their properties. Based on the singular values of the corresponding matrix, we de ne the energy of a neutrosophic soft set, as well as the lower energy of a neutrosophic soft set and the upper energy of a neutrosophic soft set, allowing us to introduce an e ective method for decision-making. To do this, we rst write a neutrosophic soft set as a matrix and multiply it by its transpose with respect to the given product and the given norm t, s. Then, we consider …

Operators For Uncertain Over/Under/Off-Sets/-Logics/-Probabilities/-Statistics, Florentin Smarandache

Neutrosophic Sets and Systems

In this paper we propose for the first time the operators (intersection/conjunction and union/disjunction) for the Uncertain Over/Under/Off-Sets/-Logics/-Probabilities-Statistics. Practical applications of Fuzzy Over/Under/Off-Sets/-Logics/-Probabilities-Statistics are presented. Similar applications can be designed for any fuzzy-extensions Over/Under/Off-Sets/-Logics/-Probabilities Statistics.

Analytical Solutions Of Heat Transfer Model In Two-Dimensional Case Of Neutrosophic Fredholm Integro-Di Erential Equations, Amer Darweesh, Kamel Al- Khaled, Marwan Alquran, Adel Almalki, Sohad Al-Omari

Neutrosophic Sets and Systems

This article uses the fractional residual power series (FRPS) method to solve a linear neutrosophic fractional integro-di erential equation in two dimensions. In what context does the term fractional derivative appeared, we presented the modi ed fractional power series method, a new technique that uses fractional power series expansion to approximate neutrosophic fractional integro-di erential equations. A modi ed new method has been formulated, which is an improvement on the RPS, named as Modi ed Fractional Power Series Method (MFPSM), to solve the same problem under investigation. Novel results associated with the rate of convergent and error order of the …

On Consistent And Weak Transitive Neutrosophic Fuzzy Matrices, K. Radhika, M. Kavitha, K. Thirumalai, R. Geethanjaliyadav, N. Buvaneswari, V. Kamalakannan

Neutrosophic Sets and Systems

This paper delves into the properties of two specific types of Neutrosophic Fuzzy Matrices (NFM) namely consistent and weakly transitive NFM. A significant focus is placed on nilpotent and transitive NFM, highlighting their critical role in the analysis. It is demonstrated that these two types of matrices are controllable, and a formula is derived for determining the canonical form of a weakly transitive NFM. To support and clarify the findings, counterexamples are provided throughout the discussion. We introduce an operation on NFM, referred to as the Gödel implication operator. Utilizing this operator, we establish several significant results for NFM, with …

An Uncertainty Framework For Development Level Evaluation Of Preschool Education In Rural And Remote Communities, Jing Liu, Songlin Tang, Biqiong Luo

Neutrosophic Sets and Systems

This study proposed an uncertainty framework for evaluation of Integrated Preschool with School in Rural and Remote Communities. This evaluation has various criteria so, we used the concept of multi-criteria decision making (MCDM). There are various MCDM methods to deal with decision making problems. We used the COPRAS method to rank the alternatives. COPRAS is a MCDM method dealing with various criteria and alternatives. This study used the Plithogenic sets to deal with uncertainty and vague information. Three experts are invited to evaluate the criteria and alternatives. Case study with an empirical example with nine criteria and nine alternatives is …

Mappings Of Plithogenic Cubic Sets, S.P. Priyadharshini, J. Ramkumar

Neutrosophic Sets and Systems

Objectives: To introduce novel mappings for plithogenic fuzzy cubic structures and derive core properties of stable and almost stable plithogenic neutrosophic cubic mappings. Methods: This study employs a theoretical approach to develop mappings for plithogenic cubic sets. We conducted a comprehensive analysis of stable and almost stable mappings, utilizing comparative techniques to assess their properties. Unique modifications include the introduction of specific stability criteria and a detailed examination of their implications in decision-making contexts. Findings: Our findings reveal that the newly introduced mappings exhibit distinct stability characteristics, enhancing the theoretical framework of Plithogenic cubic mapping. These mappings not only align …

Weighted Statistical Convergence In Neutrosophic Normed Linear Spaces, P. Jenifer, M. Jeyaraman, M. Mursaleen

Neutrosophic Sets and Systems

In this research, the authors provide a de nition among the Neutrosophic norm(NN)( terms of the summability property ( Nqn). We generalize the idea among Statistical Convergence (SC) in terms of NN by introducing the notion of ( Nqn)-summability with respect to NN( ... ) in ). Here, the novel strategy is referred to by the term neutrosophic weighted statistical convergence. We also investigated its dependence on the NN( ... ) in terms of statistical convergence and ( Nqn)-summability.

Multiple-Criteria Decision-Making And Plithogenic Sets-Based Topsis Framework For 'Dual-Qualified' Teachers Quality Evaluation In The Context Of High-Quality Development Of Vocational Education, Wenjing Liu, Yuemin Gao, Qiongyao Liu, Wenqiang Dai

Neutrosophic Sets and Systems

This study proposed a multi-criteria decision making (MCDM) methodology for evaluating the Dual-Qualified" Teachers Quality. This evaluation has various criteria and factors. So, the MCDM can deal with these factors. This study combines the MCDM methodology with the plithogenic set to deal with uncertainty and vague information. Three experts are invited to evaluate the criteria and alternatives. Then we replace their opinions by using plithogenic numbers. We used plithogenic operators to combine these numbers. Eight criteria and eleven alternatives are used in this study. We used the TOPSIS method under the plithogenic numbers to rank the alternatives. the results show …

Enhanced Approach For Japanese Teaching Quality Evaluation In Higher Education Under Plithogenic Sets, Yifan Liang

Neutrosophic Sets and Systems

Japanese language instruction has drawn more attention in the twenty-first century, a time of frequent international interactions and the rapid advancement of knowledge. Colleges and universities are now concentrating on raising the standard of Japanese education going forward as a result. To improve teaching quality, we must strengthen the entire management of teaching quality, particularly the evaluation of instructors' instruction. However, it is challenging to translate the evaluation results into a mathematical analytical formula because there are several elements that affect the quality of instruction, and the weight of each factor changes. We proposed a multi-criteria decision making (MCDM) methodology …

Development Of Neutrosophic Gamma Distribution For Modeling Neonatal Mortality Data, Fuad S. Alduais, Zahid Khan

Neutrosophic Sets and Systems

This study explores and investigates the key characteristics of the neutrosophic gamma model (NGM) to analyze neonatal mortality data. The proposed model has the ability to handle imprecision, vagueness and uncertainty in data which often exist in health statistics. The key characteristics of the proposed model such as the probability density function, cumulative distribution function, statistical moments and some basic shape coefficients are discussed to clarify its difference from the classical model. Air pollution mortality data are commonly encountered imprecise and incomplete information due to factors such as missing values, measurement errors, reporting inconsistencies. The proposed NGM has the inherent …

Neutrosophic Sets And Systems, Vol. 79,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel. Leyva Vazquez

Neutrosophic Sets and Systems

the whole volume

Module 5 - Project, Karon Klipple, Cheryl Hedden

Module 5 Assessments

For this project, you will create a video in which you TEACH someone how to find the surface area and volume of a box.

Module 5 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 5 Workbook

No abstract provided.

Module 3 - Exam, Karon Klipple, Cheryl Hedden

Module 3 Assessments

Use only class notes and assignments and Use of calculator, computer and internet is forbidden. Do not get help from others and just take it by yourself.

Module 4 - Solar System Activity Cards, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Module 3 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 3 Workbook

No abstract provided.

Module 4 - Rules Of Exponents Game, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Module 3 Barbie Bungie Contest, Karon Klipple, Cheryl Hedden

Module 3 Assessments

Your goal is to have Barbie or Ken safely bungie jump from 218cm above ground.

Whichever group gets their Barbie or Ken closest to the ground, without hitting their head, wins!

Module 3 - 3.3 Activity Cards, Karon Klipple, Cheryl Hedden

Module 3 Workbook

No abstract provided.

Module 4 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Module 4 - Project 4.2 - Mutual Funds, Karon Klipple, Cheryl Hedden

Module 4 Assessments

Mutual funds are another type of investment used by many people. A mutual fund is a company that brings together money from many people and invests it in stocks, bonds, or other assets. Each investor in the fund owns shares, which represent a part of these holdings. Mutual funds are an attractive investment to many people for several reasons.

Module 4 - Project, Karon Klipple, Cheryl Hedden

Module 4 Assessments

Project 4 – Exponential Functions & Properties of Exponents