Digital Commons Network^™

Quantifying Teaching Quality In University Chemistry Using Bipolar Neutrosophic Decision-Making Framework, Lina Sun, Feng Yi

Neutrosophic Sets and Systems

There is no doubt that the teaching of university Chemistry plays a critical role in enriching the students’ knowledge with analytical and problem-solving skills that are necessary for achieving academic and professional progress in many fields. However, the process of evaluating the quality of Chemistry teaching remains a challenging task because it usually relies on subjective judgments, diversity of criteria, and variability in human perception, leading to inherent uncertainty. Bipolar Neutrosophic Sets (NS) provide appropriate representation for uncertainty setting ls with three levels of membership, each with positive and negative degrees. Inspired by that, this study contributes to the body …

Comprehensive Evaluation Of Green Construction In Building Projects Using An Integrated Mcdm And Plithogenic Set Approach, Yuqian Liu, Xuan Yu, Shuangquan Zheng

Neutrosophic Sets and Systems

Green construction aims to minimize the overall negative impact of the built environment on both human health and the environment by efficiently using energy, water, and other resources. It helps reduce waste, pollution, and environmental impact while enhancing worker productivity and protecting occupant health. This study introduces a multi-criteria decision-making (MCDM) approach to evaluate green construction in building projects. The MCDM approach is integrated into the plithogenic set framework to address uncertainty and vague information. The simple additive weighting (SAW) method is employed to rank the alternatives. Three experts evaluated nine criteria and eight alternatives to determine the criteria weights …

Topsis Approach For Madm Based On Quadripartitioned Single Valued Neutrosophic Refined Hamacher Aggregation Operations, Arokia Pratheesha S V, Annapoorna M S, Radha R, Parul Arora, Ritika Wason, Divya Baliga B

Neutrosophic Sets and Systems

Hamacher operators are extensively utilized in multicriteria attribute group decision-making (MAGDM) problems due to their remarkable adaptability provided by an adjustable parameter. Here, the Hamacher T-norm and T-conorm operations for two QSVNRNs are formulated.Using these Hamacher op erations, we present the quadripartitioned single-valued neutrosophic refined Hamacher weighted averaging (QSVNRHWA) operators within the QSVNR framework and analyze their properties.Finally, we explore a TOPSIS-based approach for multi-attribute decision-making problems that employs the QSVNRHWA opera tors, demonstrating its application in evaluating practical scenarios related to converting solid waste into energy.

Performance Evaluation Of Venture Capital For Small And Medium-Sized Technology Startups Under Uncertainty Environmen, Zhihao Cao

Neutrosophic Sets and Systems

This study presents a novel approach to evaluating venture capital in an uncertain environment using a multi-criteria decision-making (MCDM) methodology integrated with the plithogenic framework. Venture capital decisions often involve numerous conflicting factors and vague information, making precise evaluations challenging. The MARCOS method was applied to rank eleven alternatives based on eight criteria, such as return on investment and market growth. The criteria weights were computed using normalized crisp values, and the plithogenic operator was utilized to handle uncertainty. Sensitivity analysis confirmed the stability of the results, showing that the proposed method effectively ranks alternatives under varying conditions. The findings …

Different Operators Via Weighted Averaging And Geometric Approach Using Trigonometric Neutrosophic Interval-Valued Set And Its Extension, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban

Neutrosophic Sets and Systems

This work presents a new method for generating tangent trigonometric neutrosophic interval-valued sets. This article will cover tangent trigonometric neutrosophic interval-valued weighted averaging, geometric, generalized notions. We used an aggregating model to get the weighted average and geometric. Several sets with substantial characteristics will be further studied using the algebraic techniques

Predicting Customer Satisfaction Based On Neutrosophic Sets: Applied On Mobile Food Ordering Application, Walaa Elsanabary, Nouran M. Radwan

Neutrosophic Sets and Systems

Customers’ satisfaction prediction is a vital process for all business organizations to draw new customers and maintain existing customers. One of the most efficient methods to predict customers' satisfaction is classifying customers' feedback. In the real world, customer’s feedback is ambiguous, confusing and inconsistent. This option can be stated in neutrosophic logic as indeterminacy membership, associated with truth and falsity membership. In this study, a classification model based on neutrosophic sets to handle the inconsistency of customer responses is presented. Also, significant factors that impact customers' satisfaction are defined. In order to show the procedures and the application of the …

Robust Seismic Performance Evaluation Of Super High-Rise Concrete Structures Using Mcdm And Plithogenic-Ram Approach, Kaifeng Xing, Xiaoping Wang, Peng Chen

Neutrosophic Sets and Systems

More reinforced concrete supertall and megatall high-rise structures are being built due to the growing global demand for high-rise buildings, recent advancements in concrete technology, and improvements in construction techniques. When using concrete in these structures, additional care must be taken. Evaluating Super High-Rise Concrete Structures using various criteria is a multi-criteria decision-making (MCDM) challenge. We propose an MCDM method with a set of criteria and alternatives. The Root Assessment Method (RAM) is applied in this study to rank the alternatives. The RAM method is integrated with plithogenic sets to handle uncertain information. Plithogenic operators are used to combine the …

Algebraic Properties Of Interval -Valued Quadri Partitioned Neutrosophic Fuzzy Matrices And Their Application In Multi-Criteria Decision- Making Problem, P. Tharini, C. Devi Shyamala Mary, P. Tharaniya, S. Prathap, S. Ramkumar, G. Dhanavel

Neutrosophic Sets and Systems

– In this study, we introduce two novel matrix concepts in the neutrosophic fuzzy domain: range-symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices and kernel symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices. These matrices are defined analogously to EP-matrices within the complex domain. Initially, we establish fundamental characterizations of range-symmetric matrices and then derive the necessary and sufficient conditions under which an Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices becomes kernel-symmetric . A detailed analysis follows to explore the relationship between range symmetric and kernel-symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices. Additionally, we introduce the concepts of Kernel and k-Kernel Symmetric Interval-Valued …

Distance Measure For Fermatean Neutrosophic Sets: A Comparative Framework For Qualitative Evaluation, S. Bhuvaneshwari, C. Antony Crispin Sweety, Broumi Said

Neutrosophic Sets and Systems

This work introduces a novel distance measure specifically designed for Fermatean Neutrosophic sets (FNS), extending upon existing measures such as the intuitionistic fuzzy distance and single-valued Neutrosophy distance measures. The study proposes a Hypothetical Framework for Fermatean Neutrosophic Sets to evaluate minimum distances and compares six different distance measures. These measures are applied within the contexts of both Fermatean Neutrosophic Sets and Neutrosophic Sets. The primary objective is to identify the shortest distance, enabling precise and appropriate decision-making. The study highlights the importance of false membership in FNS, which alters the ranking of FNS and establishes the Fermatean Neutrosophic set …

Neutrosophic Non-Newtonian And Geometric Measures: A Consistent Analytical Framework, Amer Darweesh, Kamel Al-Khaled, Mohammed Shakhatreh, Mahmood Shareef Ajeel, Nermin Abo Hasan

Neutrosophic Sets and Systems

The neutrosophic measure is a generalization of the classical measure in situations when the space contains some indeterminacy. In this paper, we introduce the concept of the Neutrosophic Geometric Measure, we also provide some results, and examples related to the Neutrosophic Geometric Measure. A classical measure of the objects determinate component, a classical measure of its indeterminate part, and a further classical measure of the objects opposite determinate part are the three classical measures that make up the neutrosophic measure. To de ne the Neutrosophic Geometric Measure, we introduce a new measure on R+ and call it the geometric Lebesgue …

, Combine Knowledge And Similarity Measure To Solve Single Valued Neutrosophic Set Mcdm Problems, Nguyen Xuan Thao, Truong Thi Thuy Duong

Neutrosophic Sets and Systems

The Neutrosophics set have been paid attention of researchers using in many fields in the practice. It is a useful tool to deal with those complex problems. In this paper, we first investigat the knowledge measures on the Single neutrosophic set. Then, we introduce a new similarity measure of SNS that overcomes the restriction of some already existing similarity measure cases. A proposed measure-based multi-criteria decision-making (MCDM) model was constructed. In this model the knowledge measure to determine the weight of each criterion and similarity measure to rank the alternatives. This model applied to solve the agricultural land selection. Finally, …

University Mathematics Classroom Teaching Quality Assessment Based On Core Competencies Using The Dematel Approach And Single-Valued Neutrosophic Hypersoft Sets, Jingjing Qiao

Neutrosophic Sets and Systems

This study proposes a multi-criteria decision-making (MCDM) approach to evaluate the quality of University Mathematics Classroom Teaching based on core competencies. The MCDM approach is applied within the framework of the neutrosophic set to address vague and uncertain data. Unlike the hypersoft set, which handles multiple disjoint attribute-valued sets corresponding to various characteristics, the soft set operates with a single set of attributes. This study introduces the concept of Single-Valued Neutrosophic Hypersoft Expert Sets (SVNS), which integrate single-valued neutrosophic sets and hypersoft expert sets. Eight criteria were employed to construct the pairwise comparison matrix. The Decision-Making Trial and Evaluation Laboratory …

Intuitionistic Quadri-Partitioned Neutrosophic Sets With Extended Operators, Sai Anu P, Arulselvam A, Bobin A

Neutrosophic Sets and Systems

We present the concept of intuitionistic quadri-partitioned neutrosophic sets (IQ-PNSs) and extend it to intuitionistic quadri-partitioned neutrosophic soft sets (IQ-PNSSs). These sets introduce a constraint where the combined membership values for truth and falsity must not exceed one, while the indeterminacy and contradiction membership values are restricted to the interval [01], ensuring the total sum of all membership values remains below three. In addition, we de ne necessity and possibility operators, along with two novel operators, ( and ), on IQ-PNSSs and explore their properties. Furthermore, we introduce and analyze the operators , , and , as well as the …

Neutrosophic Analysis Of The Cultural Impact Of The Pinkullo In Llata: Integrating Chatgpt And Fsqca, Fredy Romulo Marcellini Morales, Betty Leon Trujillo, Esio Ocana Igarza, Roberto Carlos Cardenas Viviano

Neutrosophic Sets and Systems

This study explores the cultural impact of the Pinkullo, a traditional Andean aerophone, on the community of Llata, Peru, through an innovative approach that integrates neutrosophic set theory with computational methods. By employing fuzzy-set Qualitative Comparative Analysis (fsQCA) and a novel application of ChatGPT for neutrosophic sentiment analysis, the research investigates the complex interplay between the Pinkullo and various aspects of community life, including cultural participation, social impact, and cultural preservation. Textual data collected from surveys was analyzed using the "ChatGPT Constructor" add-on in Orange Data Mining to generate neutrosophic scores, representing the truth, indeterminacy, and falsity of expressed sentiments …

Division Of 3-Refined Neutrosophic Numbers By Using The Identification Method And The 3-Refined Ah-Isometry, Yaser Ahmad Alhasan, Mohamed Elghazali Ali Mohieldin Mohamed, Qusay Ahassan, Raja Abdullah Abdulfatah

Neutrosophic Sets and Systems

This paper aims to study the division of 3-refined neutrosophic numbers, where it was discussed through two methods, the first is the identification method, and the second is the 3-refined AH-isometry. In addition to presenting special cases related to division of 3-refined neutrosophic numbers. The most important idea in this paper is that we were able to move from the formula we obtained in the 3-refined AH-isometry to the formula we found in the identification method and vice versa, hence this proves the validity of both formulas.

A Study On Blended Teaching Model Evaluation For English Major Courses In Higher Education: An Uncertainty-Based Approach, Chunmei Xue

Neutrosophic Sets and Systems

As businesses adopt remote work, online learning, and the digital workplace, the idea of blended learning keeps changing. Traditional trainer-led lectures and coaching sessions are still provided to learners, but they are combined with interactive, self-guided experiences that give employees practical training and allow them to operate as a team. The creation of a decision support system that facilitates the evaluation of blended learning of English courses in higher education for aiding students. In addition to qualitative metrics that show evaluation of blended learning, several quantitative metrics also influence blended learning performance. The purpose of this study is to evaluate …

Implication-Based Neutrosophic Finite State Machine Over A Finite Group, S. Jafari, N. Rajesh, G. Nordo, M. Gorgone

Neutrosophic Sets and Systems

In this paper, we define and investigate the concept of the implication-based neutrosophic finite state machine (IB-IFSA) over a finite group. Building upon the framework of neutrosophic logic, we introduce the implication-based neutrosophic kernel and the implication-based neutrosophic subsemiautomaton, establishing their formal definitions and properties. Additionally, we explore the structural interplay between these concepts and their implications within algebraic systems

The Improper Neutrosophic Integrals, Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah, Florentin Smarandache

Neutrosophic Sets and Systems

In light of the expansion of research that dealt with the logic of the neutrosophic and its clear spread at the level of science, it was necessary for us to continue in the series of research that covers the calculus of neutrosophic integration, and this is what led us to study the improper neutrosophic integrals. This study dealt with the types of the improper neutrosophic integrals of the first and second kind. In addition, we discussed the concept of convergent and divergent neutrosophic integrals. As well as providing a set of examples related to these ideas.

Enhancing Competency-Based Learning With Neutrosophic Regression And The Deming Cycle, Dr Hortencio Flores Flores, Dr. Irma Reyes Blácido, Dr. Magda Patricia Ramos Cevallos, Dr. Nemesia Hidalgo Penadillo Hidalgo Penadillo, Mg. Luz Magali Villarroel Nuñez

Neutrosophic Sets and Systems

This article introduces a novel approach to enhance competency-based learning by combining the Deming Cycle with neutrosophic statistics. Competency-based education focuses on practical skills, but uncertainty in student performance and assessment can hinder its effectiveness. Neutrosophic statistics, unlike traditional methods, explicitly models indeterminacy, providing a more complete picture of uncertainty in educational data. This approach integrates neutrosophic numbers into re gression analysis to predict learning outcomes and quantify the confidence level of those predictions. These predictions, with their associated indeterminacy, then inform the Deming Cycle (Plan-Do Check-Act), enabling educators to dynamically adjust teaching strategies based on data-driven in sights. This …

A Concise Introduction To Hyperfuzzy, Hyperneutrosophic, Hyperplithogenic, Hypersoft, And Hyperrough Sets With Practical Examples, Takaaki Fujita, Florentin Smarandache

Neutrosophic Sets and Systems

Various set concepts are widely recognized for effectively addressing u ncertainty, including fuzzy sets, neutrosophic sets, plithogenic sets, rough sets, and soft sets. These concepts have been further extended through hyperstructures (based on powersets) and superhyperstructures (based on n-th powersets, which are sets with repeated power set structures) [5,12–14,32]. These extensions are commonly referred to as HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics, and they were introduced by Smarandache in 2016-2017 [32] as parts of HyperStructures, SuperStructures, and SuperHyperStructures respectively. This paper recalls these concepts along with concrete examples.

Conjugation Of Hypersoft Set And Triangular Neutrosophic To Evaluate Cognitive Digital Twins' Contribution To Smart Manufacturing, Mona Mohamed, Nurhan Alaa

Neutrosophic Sets and Systems

The latest innovation in digital twin technology is called Cognitive Digital Twins (CDT). The sophisticated and autonomous activities made possible by this technology have the potential to revolutionize manufacturing. An overview of CDT in manufacturing is given in this paper, along with an examination of their main features, components, and possible uses. CDT can learn from data, reason about difficult circumstances, and make well-informed judgments by combining artificial intelligence, machine learning, and knowledge representation approaches. The advantages of CDT in smart manufacturing are covered in the paper. Hence, the objective of this paper is evaluating the smart manufacturing that adopts …

Stock Price Predictions With Lstm-Arima Hybrid Model Under Neutrosophic Treesoft Sets With Mcdm Interaction, G. Dhanalakshmi, Dr. S. Sandhiya, Florentin Smarandache

Neutrosophic Sets and Systems

The stock market is regarded as volatile, complex, tumultuous, and dynamic. Forecasting stock performance has proven to be a challenging endeavour due to its increasing need for investment and growth prospects. At the forefront of machine learning, deep learning models facilitate the straightforward and efficient exploration and identification of optimal stocks, the hybrid forecasting models (LSTM and ARIMA) are used in the prediction of stock increase. This paper incorporated the MCDM technique to determine the optimal stocks for investment. The Analytic Hierarchy Process (AHP) is used to assign weights to various financial factors. These weights are then used by the …

Risk Assessment Of Steel Structure Engineering Cost Using Multi-Criteria Decision-Making Approach Under Uncertainty, Bijun Ni

Neutrosophic Sets and Systems

Choosing options with complex, ambiguous, and contradicting criteria is a common challenge for decision-makers. To choose the optimal option, they typically use multicriteria decision-making techniques, in which specialists manage the relative importance of conflicting tangible and intangible criteria to identify and evaluate possible courses of action. Making decisions involves one or more people selecting the best option from a range of potential options. This study proposes multi-criteria decision making (MCDM) method to compute the criteria weights are rank the alternatives. The MCDM approach is applied for risk assessment to cost in steel structure engineering. This problem includes many criteria and …

Single-Valued Neutrosophic Graph With Heptapartitioend Structure, Hanaa Fathi, M. Myvizhi, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Mohamed Eassa, Mohamed S. Sawah, Hussam Elbehiery

Neutrosophic Sets and Systems

This study applies single-valued neutrosophic sets, which extend the frameworks of fuzzy and intuitionistic fuzzy sets, to graph theory. We introduce a new category of graphs called Single-Valued Heptapartitioned Neutrosophic Graphs (SVHNG) and investigate their characteristics through comprehensive proofs and illustrative examples.

Mapping Barriers To Sustainable Fashion Consumption: Insights From Neutrosophic-Z Number And Delphi-Dematel Integration, Phi-Hung Nguyen, Lan-Anh Thi Nguyen, The-Vu Pham, Tra-Giang Vu, Duc-Minh Vu, Thu-Hoai Thi Nguyen, Hong-Quan Le, Huong-Giang Hoang Le

Neutrosophic Sets and Systems

This study investigates the barriers to sustainable consumption within the Vietnamese fashion industry, a critical issue given the sector’s significant environmental impact and growing consumer awareness. The research employs an innovative combination of Neutrosophic Z-number sets (NZN), Delphi, and Decision-Making Trial and Evaluation Laboratory (DEMATEL) methodologies to systematically identify and analyze 47 barriers across five key dimensions: Social and Cultural Factors, Pricing and Affordability, Policy and Education, Perception and Image, and Supply Chain and Industry Practices. Through expert evaluations and causal analysis, the study reveals that Policy and Education are the most influential factors, highlighting the need for robust policy …

Wagon Tracks Volume 40, Issue 1

Wagon Tracks

Table of Contents

2 On the Cover

4 Trail Writings by Chris Day

5 Joanne’s Jottings by Joanne VanCoevern

7 In Memorium: Vern Osborne

8 Save the Dates: SFTA Celebrates 40^th Anniversary

9 DAR Marker Gets Rededicated at Bent’s Fort by Larry Bourne

9 Upcoming Events

10–28 Pikes Peak or Bust: The Untold Story of the Colorado Gold Rush by Larry Obermesik

29 Chapter Reports

32 Calendar

“A Profusion Of Terms And Tests”: Clarifying New Mexico’S Double Description Analysis, Van E. Snow

New Mexico Law Review

The government cannot punish someone twice for the same offense. But determining whether two crimes are the same offense for double jeopardy purposes can be difficult. New Mexico courts approach this problem in a unique way. In 1991, the New Mexico Supreme Court created a multi-step test for double description cases that largely reflected federal law under Blockburger v. United States. Over time, the supreme court modified and expanded the inquiry. These departures have produced an overly complex analysis that has lost sight of the sole limitation on imposing multiple punishments: legislative intent. This Article proposes three changes that would …

Tribal Eminent Domain: Sovereignty Gaps And Policy Solutions, John Beaty

New Mexico Law Review

This Article addresses the existence and scope of the tribal power of eminent domain. American Indian Tribes are sovereign entities within the United States and can exercise many traditional government powers. However, centuries of actions by the United States’ executive, legislative, and judicial branches have eaten away at the fabric of tribal sovereign powers. Currently, the scope of tribal sovereign authority is unclear with regards to eminent domain, the practice of a sovereign taking private property for public use. Eminent domain is important to many tribal governmental interests, including infrastructure development and fighting the fractionation of land interests. Although eminent …

Buy Now, Pay Dearly Later?: Minimizing Consumer Harm Under New Mexico’S Small Loan Regulations, Laura Creech

New Mexico Law Review

American consumers are carrying record-breaking credit card debt. As prices remain high and wages remain stagnant, short-term borrowing is common practice for many and unavoidable for some. Meanwhile, borrowing has never been easier. Several years ago, few consumers could imagine the widespread availability of “zero-interest, no-credit-impact” lending. Now, consumers can quickly obtain these pay-in-four “Buy Now, Pay Later” (BNPL) loans to purchase just about anything. The BNPL companies offering these loans market themselves as the smart shopping credit alternative for responsible budget management, and Millennial and Generation Z shoppers have rapidly embraced this new lending option. Yet, BNPL companies insufficiently …

Incentivizing Diversion, Christina E. Miller

New Mexico Law Review

No abstract provided.