Digital Commons Network^™

Neutrosophic Hypersoft Set (Nhss) For Teaching Quality Assessment In University Interior Design Courses, Ruijuan Zhang

Neutrosophic Sets and Systems

Teaching quality evaluation in university interior design courses have different criteria and values. So, we used the multi-criteria decision making (MCDM) approach to deal with various criteria. Two MCDM methods are used such as Entropy to compute the criteria weights and RAFSI method to rank the alternatives. Two MCDM methods are used under the neutrosophic-Z number (NZN) to deal with uncertain and vague information. This study uses the neutrosophic HyperSoft set (NHSS) to find the relationship between different criteria. Seven criteria and eight alternatives are used in this study. An empirical application is applied to show the validation of the …

Prioritization Of Higher Education Management Strategies Based On The Neutrosophic Uncertainty Model For Sustainability, Xinxiu Yang

Neutrosophic Sets and Systems

This study proposes the multi-criteria decision-making methodology (MCDM) to rank the strategies of higher education management. We used the neutrosophic sets to deal with uncertain information in the MCDM solutions. We used two MCDM methods in this study such as CRiteria Importance Through Intercriteria Correlation (CRITIC) and alternative ranking order method accounting for two-step normalization (AROMAN). The CRITIC method is used to compute the criteria weights and the AROMAN method is used to rank the alternatives. We use the Trapezoidal Neutrosophic Z-Number (TNZN) which is an extension of the neutrosophic set to deal with vague data. This study uses nine …

Ground-Arthropod Assemblage Response To Groundwater As A Metric Of Flooding In The Middle Rio Grande, Wesley J. Noe

Water Resources Professional Project Reports

Riparian zones are dynamic ecosystems, crucial for maintaining biodiversity and ecological balance, particularly in arid environments like the Middle Rio Grande (MRG). Ground arthropods, with their sensitivity to environmental changes, serve as bioindicators for assessing the impacts of water regime changes in the MRG, specifically flooding which was historically the main driver of the MRG ecosystem. This study investigated the responses of ground arthropod communities to fluctuations in groundwater and land management practices within MRG riparian habitats. Using a combination of pitfall trapping and habitat assessments, arthropod abundance was assessed in relation to depth to groundwater (DTG). Findings revealed shifts …

Analysis Of The Potential Impacts Of Brine And The Main Challenges Of The Water Importing Project From The Gulf Of California To Phoenix, Arizona (Arizona Water Project Solution), Alejandro Corral Hernandez

Water Resources Professional Project Reports

In December 2022, the Arizona Water Project Solution (AWPS) was presented to the Water Infrastructure Finance Authority of Arizona (WIFA). The project proposes to develop, construct, and operate a Seawater Reverse Osmosis (SWRO) plant in Puerto Peñasco, Sonora, Mexico, and transport potable water through a 200-mile pipeline to supply the city of Phoenix, Arizona, in the United States.

This study includes a cross-multiple-case analysis, incorporating expert data and information, to evaluate the brine impacts and challenges faced in developing the five operational SWRO plants in Israel and the Claude “Bud” Lewis Carlsbad plant in California, United States. By identifying patterns, …

Ground-Arthropod Assemblage Response To Groundwater As A Metric Of Flooding In The Middle Rio Grande, Wesley Noe

Water Resources Professional Project Reports

Riparian zones are dynamic ecosystems, crucial for maintaining biodiversity and ecological balance, particularly in arid environments like the Middle Rio Grande (MRG). Ground arthropods, with their sensitivity to environmental changes, serve as bioindicators for assessing the impacts of water regime changes in the MRG, specifically flooding which was historically the main driver of the MRG ecosystem. This study investigated the responses of ground arthropod communities to fluctuations in groundwater and land management practices within MRG riparian habitats. Using a combination of pitfall trapping and habitat assessments, arthropod abundance was assessed in relation to depth to groundwater (DTG). Findings revealed shifts …

Spatial And Equity Analysis Of The Xeriscape Conversion Rebate Program In Albuquerque, Nm., Claire Jordy

Water Resources Professional Project Reports

With increasing water scarcity concerns threatening water supplies, many cities in the Western U.S. are focusing more effort on their water conservation programs to reduce consumptive water use. The Albuquerque Bernalillo County Water Utility Authority (Water Authority) in Bernalillo County, NM has had several water conservation programs in place since the 1990s, and still, they aim to further reduce water consumption. The Xeriscape Conversion Rebate Program is one of the primary tools to achieve this goal, encouraging customers to convert their high water-use turfgrass lawns to desert-friendly xeriscaping by providing a one-time rebate on their water bill. This rebate program …

Neutrosophic Normal Vague Set Fitting To Trigonometric Concept Via Aggregation Operators And Its Augmentation, M. Palanikumar, Nasreen Kausar, Tonguc Cagin

Neutrosophic Sets and Systems

Using a cotangent trigonometric neutrosophic normal vague set (CotNNVS), we begin this communication article with several novel techniques. Some trigonometric neutrosophic sets and imprecise neutrosophic sets are extended by the novel idea of CotNNVS. We will discuss the various aggregating processes that interpret Cotangent trigonometric neutrosophic normal vague weighted averaging (CotNNVWA), cotangent trigonometric neutrosophic normal vague weighted geometric (CotNNVWG), cotangent trigonometric generalized neutrosophic normal vague weighted averaging (CotGNNVWA), and cotangent trigonometric generalized neutrosophic normal vague weighted geometric (CotGNNVWG) are the new topics covered in this paper

Adaptability Evaluation Of Vocational Education And Economic Development Under The Bipolar Neutrosophic Sets, Chen Yuan, Yongye Chen

Neutrosophic Sets and Systems

This study suggests a decision-making methodology to evaluate the risks in vocational education and economic development. This problem has different criteria and alternatives which must be evaluated. This evaluation can include uncertainty in the evaluation process. So, we use the bipolar neutrosophic sets (BNSs) to deal with uncertainty and vague data. The BNSs are extensions of the neutrosophic sets. We used two decision-making methods for the evaluation of risks in vocational education and economic development such as BWM to compute the criteria weights and the COPRAS method to rank the alternatives based on a set of criteria. This study uses …

Optimizing Horizontal Collaboration In Logistics With Neutrosophic Z-Number Decision Models, Phi-Hung Nguyen, Lan-Anh Thi Nguyen, The-Vu Pham, Hong-Quan Le, Thu-Hoai Thi Nguyen, Tra-Giang Vu, Huong-Giang Hoang Le

Neutrosophic Sets and Systems

Horizontal collaboration (HC) has emerged as a strategic approach to improve efficiency, sustainability, and competitive advantage while reducing CO2 emissions in supply chain operations. Despite its potential, HC implementation faces significant challenges, including trust management, strategic alignment, and decision-making complexities. This study proposes an integrated methodology that combines the Delphi technique and the DEMATEL framework, enhanced by Neutrosophic Z-number (NZN) theories, to identify and prioritize critical success factors (CSFs) influencing HC. A case study in Vietnam validates the robustness and practical applicability of the proposed model. The findings highlight economic factors—such as financial stability, data sharing, and innovation adoption—as key …

Quality Evaluation Of Immersive Virtual Reality Interactive Art Design Under Cultural Heritage Digitization Under Interval Valued Neutrosophic Numbers, Xing She, Ying Liu, Qian Liu, Le Zhang

Neutrosophic Sets and Systems

The integration of disciplines has become a crucial issue that the entire society must deal with due to the economy's and society's rapid development. Particularly for teaching art and design, the new features of quickly iterative technology and the developing theory of the digital age presented new difficulties. Simultaneously, as computer hardware continues to advance, new simulation technologies are continually emerging, opening new avenues for creative design work. As a methodical endeavor, teaching art design should incorporate cutting-edge instructional strategies with scientific theories. This study proposes a multi-criteria decision-making (MCDM) approach to evaluate the immersive virtual reality interactive art design …

Quality Assessment Of Innovation And Entrepreneurship Talent Cultivation In Universities From The Perspective Of Collaborative Education Under Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set, Qing Tan, Chengcheng Wu, Xuan Li, Yao Yao

Neutrosophic Sets and Systems

A technique for representing mathematical models of confusion, ambiguity, confusion, inconsistency, and inconsistency, neutrophilic logic is built on non-standard analysis. While truth membership, indeterminacy membership, and falsity membership are independent, indeterminacy is explicitly quantified in the Neutrosophic set. In many circumstances where we deal with conflicting and partial information, this is crucial. Differential equations are widely used in science and engineering to represent issues, and one of the newest areas of study is the study of differential equations with uncertainty. We used the Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set with the decision-making methods. Two methods are used in this …

Type-2 Neutrosophic Sets (T2nss) For Quality Evaluation Of Project-Based Art And Design Courses: Evaluation Seven Projects, Ruijuan Zhang

Neutrosophic Sets and Systems

Conflicting objectives for alternatives must be valued in a decision-making process, and the optimal option must be chosen based on the decision-makers requirements. For this selection, multi-objective optimization techniques might offer a solution. The purpose of this study is to introduce two relatively new multi-objective optimization techniques: multi-objective optimization based on simple ratio analysis (MOOSRA) and Entropy methods. This study uses the multi-criteria decision-making method (MCDM) to evaluate the project-based art and design courses. The entropy method is used to compute the criteria weights and the MOOSRA method is used to rank the alternatives. The MCDM method is used under …

Similarity Measure And Sine Exponential Measure Of Possibility Interval-Valued Neutrosophic Hypersoft Sets And Their Applications, Eman Hussein, Yousef Al-Qudah, Hm Jaradat, Faisal Al-Sharqi, Saja Elnajar, Ali Jaradat

Neutrosophic Sets and Systems

The Hypersoft set (HSS) has been created as an extension of a soft set (SS) in order to address limitations for the thought of disjoint attribute-valued sets corresponding to distinct attributes. The HSSs melted with several fuzziness structures present in literature to handle real-world scenarios with complexity and uncertainty. One such extension is the interval-valued neutrosophic hypersoft set (iv-NHSS), which focuses on the partitioning of each attribute into its attribute-valued set with these attribute-valued sets, three iv-NHS memberships degree line closed interval [0,1]. However, the iv-NHSS model is short of assessing the vague nature of parameters and sub-parameters that cause …

New Approach Single Valued Neutrosophic Sets For Teaching Quality Challenges Evaluation In College Public English Broad Impacts, Xiao Ma

Neutrosophic Sets and Systems

Previous research on teaching quality challenges in college public English has relied on methods that accept vague or fuzzy inputs. Single-valued neutrosophic Sets (SVNSs) are used to handle uncertain or unclear expert assessments by allowing both precise and imprecise data to be analyzed together. This approach ensures that valuable information is not lost during the evaluation process. To improve decision-making in multi-criteria decision-making (MCDM) problems, this study introduces a new integrated framework that combines the EDAS method with the MEREC method for criteria weight computation under the SVNS environment. The MEREC method is applied to determine the importance of each …

Rethinking Reverse Logistics: Neutrosophic Strategies For Warehouse Management Challenges, Thanh- Ngan Le, Quoc-Hieu Phan, Phi Hung Nguyen, Lan-Anh Thi Nguyen

Neutrosophic Sets and Systems

Implementing warehouse management platforms (WMPs) in Vietnam's smart reverse logistics (SRL) sector faces numerous barriers, hindering operational efficiency and competitiveness. This study develops a robust multi-stage decision-making framework to identify, analyze, and address these barriers, filling a critical research gap in SRL practices. The proposed model integrates Neutrosophic Sets (NS) for managing uncertainties in expert evaluations with the Decision-Making Trial and Evaluation Laboratory (DEMATEL) method to examine cause-and-effect relationships among barriers. Additionally, the Neutrosophic Combined Compromise Solution (NS COCOSO) method ranks solutions for overcoming these challenges. In the first stage, key barriers—such as insufficient strategic planning, lack of expertise in …

High-Quality Development Evaluation Of Cultural And Tourism Integration Empowered By The Digital Economy Under Double Valued Neutrosophic Sets, Jun Wang, Xiong Hu

Neutrosophic Sets and Systems

This study proposed a decision-making approach to evaluate the cultural and tourism integration empowered by the digital economy. Two methods are used in this study, such as Entropy method to compute the criteria weights and the MABAC method to rank the alternatives. These methods are used under the neutrosophic sets. Neutrosophic sets (NSs) are used to represent ambiguous, inconsistent, and unpredictable data that arise in practical issues. Indeterminacy leaning toward truth membership and indeterminacy leaning toward falsity membership are two separate components of double-valued neutrosophic sets (DVNSs), a variant of NSs. Three experts have evaluated the criteria and alternatives. Ten …

Isotopic Properties Of Neutrosophic Soft Quasigroup And Its Application In Decision-Making, Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide

Neutrosophic Sets and Systems

A Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences. This paper seeks to extend the classical examination of quasigroups to include Q-neutrosophic soft quasigroups. It provides a thorough investigation into isotopism, homomorphism, isomorphism, and the direct product concerning the hybrid concept of neutrosophic soft sets under a non-associative structure. This research expands the concept of the Q-set to a groupoid, which facilitates the development of an algorithm for Q-neutrosophic soft quasigroups. The definitions of isotopism and homomorphism for Q-neutrosophic soft quasigroups are introduced, revealing that every isotope of a …

Group Decision-Making Model Based On Triangular Neutrosophic Sets For Service Quality Evaluation In Tourism Mobile E-Commerce, Ying Liu

Neutrosophic Sets and Systems

Triangular fuzzy numbers are frequently used by experts to assess their opinions in the group decision-making (GDM) paradigm. In this research, we used neutrosophic because preference connections with triangular fuzzy numbers are consistent. In GDM, it is crucial to consider the degree of consensus and the consistency of expert opinion. The idea of additive approximation consistency is put out for triangular neutrosophic Sets (TNSs) additive reciprocal matrices to differentiate the typical consistency. The GDM methodology is used to evaluate tourism mobile e-commerce services to select the best one. Two methods are used in this study such as SWARA is used …

Bipolar Neutrosophic Driven Approach For Assessing The Teaching Quality Of English Language And Literature Learning Outcomes, Keyan Zhao

Neutrosophic Sets and Systems

The quality of teaching in English Language and Literature is a crucial factor in enhancing student learning outcomes, fostering critical thinking, and promoting linguistic and literary proficiency. Nevertheless, the procedure of assessing the quality of English teaching remains a thought-provoking task since it typically depends on individual judgments, variety in criteria, and inconsistency in human observation, resulting in intrinsic uncertainty. Bipolar Neutrosophic Sets (BNS) offer an expressive way to model ambiguity in a bipolar manner using three positive and three negative memberships. Motivated by that, we propose to explore the novel approach based on BNS to improve the judgmental process …

Andean Epistemology, Ch’Ixi, And Neutrosophic Logic, Maikel Y. Leyva Vázquez, Florentin Smarandache

Neutrosophic Sets and Systems

This article explores the potential of Andean epistemology—rooted in principles of complementarity (yanantin), interdependence, and indeterminacy—to enrich contemporary science and artificial intelligence (AI). By transcending binary logic through concepts like ch’ixi (simultaneous coexistence of opposites) and yanantin, Andean thought aligns with Florentin Smarandache’s neutrosophic logic, a system that formalizes truth (T), falsehood (F), and indeterminacy (I) to navigate ambiguity. Smarandache’s MultiAlism, which emphasizes the coexistence of multiple perspectives, further resonates with Andean cosmovision, offering a framework to reinterpret mythology and folklore beyond rigid dualities. Integrating these principles into AI could foster systems that better handle uncertainty, cultural context, and ethical …

Inverse Fractional Function Setting Sine Trigonometric Neutrosophic Set Approach To Interaction Aggregating Operators, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin

Neutrosophic Sets and Systems

In this paper we present novel techniques for the interacting aggregating operator of the inverse fractional function sine trigonometric neutrosophic set. Swapping the input and output variables and solving for the original input variable in terms of the original output variable are the steps involved in determining the inverse of a function. The innovative averaging and geometric operations of inverse fractional function sine trigonometric neutrosophic numbers are studied using the universal aggregation function. The inverse fractional function sine trigonometric neutrosophic set is idempotent, boundedness compatible, associative and commutative. Four new aggregating operators are introduced: inverse fractional function sine trigonometric neutrosophic …

Advanced Machine Learning Approaches For Breast Cancer Detection With Neutrosophic Sets, Hussam Elbehiery, Hanaa Fathi, Mohamed Eassa, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Hadeer Mahmoud

Neutrosophic Sets and Systems

Breast Cancer (BC) remains a significant health challenge for women and is one of the leading causes of mortality worldwide. Accurate diagnosis is critical for successful therapy and increased survival rates. Recent advances in medical imaging and computational technologies have enabled more precise methods of detecting and evaluating breast cancer. Accurate analysis and diagnosis utilizing medical imaging have developed as essential research topics, providing important help in clinical decision making for various illnesses, including breast cancer. Machine learning (ML) can accurately predict breast cancer. But the breast cancer data has vague and uncertainty information. So, the neutrosophic sets (NSs) are …

Characterization Of Interaction Aggregating Operators Setting Interval-Valued Pythogorean Neutrosophic Set, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban

Neutrosophic Sets and Systems

In this work, we present novel techniques for the interval-valued Pythogorean neutrosophic interaction aggregating operator. A hybrid of the neutrosophic set and the interval-valued Pythogorean fuzzy set. The innovative averaging and geometric operations of interval-valued Pythogorean neutrosophic interaction numbers are studied using aggregation operator. The interval-valued Pythogorean neutrosophic interaction is boundedness compatible, idempotent, associative, and commutative. Four new aggregating operators are introduced: IPNI weighted averaging operator, interval-valued Pythogorean neutrosophic interaction weighted geometric operator, generalized interval-valued Pythogorean neutrosophic interaction weighted averaging and generalized interval-valued Pythogorean neutrosophic interaction weighted geometric.

Expanded Triangular Fuzzy Neutrosophic Numbers For Safety Risk Evaluation Of Urban Rail Transit Engineering: An Innovative Method For Better Risk Assessment, Xiuli Liu

Neutrosophic Sets and Systems

Safety assessment of urban rail transit (URT) operations plays a crucial role not only in shaping passenger travel choices but also in urban development planning. The findings of such assessments are valuable for both passengers and transport operators. In this study, we propose an integrated multi-stage evaluation framework to assess URT operations from a safety perspective. This framework considers decision-makers' (DMs') risk preferences and the uncertainty of available information. We employ two key methods: the CRITIC method to determine the weights of evaluation criteria and the MOORA method to rank the alternatives. Both methods operate within the framework of triangular …

A Neutrosophic Model For Assessing The Impact Of Artificial Intelligence On Civil Liability, María Gracia Paredes-Morales, Gino Joel Alberdy-Rodriguez, Susy Grey Morales-Cobos, Dessire Amandiz Castro-Valderrama, Gloria Angélica Valderrama-Barragán, Edwin Favio Valderrama-Barragán

Neutrosophic Sets and Systems

The creation of Artificial Intelligence (AI) tools has grown exponentially in recent years. The number of these tools, their capabilities to solve problems and the number of people who use them are increasing rapidly. This constitutes a positive advance for humanity; however, there is also a negative side that can arise from its inappropriate use. To avoid the problems that may arise with the improper use of AI, it is necessary to have a regulatory legal framework that offers the guidelines to follow for evaluating the AI tools that arise and the civil and criminal consequences for those who fail …

Adaptive Triangular Linguistic Neutrosophic Cubic Fuzzy Sets For College English Blended Teaching Mode Evaluation Method, Hongxia Cui

Neutrosophic Sets and Systems

This paper presents a proactive strategy that employs a multiple-criteria decision-making (MCDM) model as an evaluation tool. To assess online and offline blended teaching modes for college English, we propose an evaluation framework called CIMAS-COBRA, which integrates the Criteria Importance Assessment (CIMAS) method for determining criteria weights and the Cost Estimation, Benchmarking, and Risk Assessment (COBRA) method for ranking alternatives. Both methods operate under the Triangular Linguistic Neutrosophic Cubic Fuzzy Sets framework to handle uncertain and vague data. Seven criteria and ten alternatives are examined in this study. The Triangular Linguistic Neutrosophic Cubic Fuzzy Number approach is employed to evaluate …

The Numerical Applications Of (Abm) And (Amm) Numerical Methods On Some Neutrosophic And Dual Problems, Ahmed Salem Heilat

Neutrosophic Sets and Systems

The objective of this paper is to present two neutrosophic numerical methods for finding the numerical solutions for some neutrosophic differential equations, where a numerical comparison between AMM and ABM methods with numerical tables that clarify some numerical results of the previous two methods applied on some neutrosophic initial value problems IVP. Also, we apply the same methods on dual variables problems, and we will show that they will give us the same numerical results

Landscape Design Quality Evaluation Of Abandoned Coal Mine Sites Using Single-Valued Triangular Neutrosophic Numbers, Ye Liang

Neutrosophic Sets and Systems

This research uses Single-Valued Triangular Neutrosophic Numbers (SVTNNs) to address uncertainty and vague problems in the Abandoned Coal Mine Sites evaluation. By adjusting the subjective assessments, Single-Valued Triangular Neutrosophic Numbers handle degrees of affiliation and disassociation as well as additional unclear degrees of neutral opinion. The WENSLO approach is used to compute criteria weights. To develop a hybrid model that handles ambiguity more adaptable, this study combines the WENSLO method with the Single Valued Triangular Neutrosophic Numbers-based REGIME strategy. In conclusion, we used these methods to confirm the precision of the calculations made using the suggested approach. The fundamental idea …

Enhancing Missing Data Imputation For Migrants Data: A Neutrosophic Set-Based Machine Learning Approach, Doaa A. Abdo, A. A. Salama, Alaa A. Abdelmegaly, Hanan Khadari Mahdi Mahmoud

Neutrosophic Sets and Systems

This study tackles the problem of missing data in migrant datasets by introducing a new framework that combines machine learning techniques with neutrosophic sets. These sets, which can represent uncertainty and ambiguity, are well-suited for managing the complex nature of missing information in sensitive fields like migration research. We test the effectiveness of KNN, SVM, decision tree, random forest, and Ada Boost algorithms on a migrant dataset, comparing their results using different imputation methods (mean/mode, model-based imputer (simple tree), and random values). Our research showed that our proposed approach, which used neutrosophic sets, improved imputation accuracy and strengthened model reliability. …

Practical Overview Of Triangular Bipolar Neutrosophic Numbers For Design Effect Evaluation Of Ethnic Minority Clothing: Comprehensive Guide, Haiting Chen

Neutrosophic Sets and Systems

This paper offers a novel multi-criteria decision-making (MCDM) paradigm to handle the problem of assessing and prioritizing design effect evaluation of ethnic minority clothing. The framework incorporates the ARTASI (Alternative Ranking Technique based on Adaptive Standardized Intervals) technique for objective alternative evaluation and CRITIC method for robust weight determination. This novel method, CRITIC-ARTASI, makes use of a unique algorithm for logical reasoning and makes it easier to make decisions while designing effect evaluation of ethnic minority clothing. 7 Criteria and 13 are used in this study. Sensitivity studies were used to thoroughly assess the correctness and stability of the suggested …