Neighborhood HyperRough Set and Neighborhood SuperHyperRough Set

Takaaki

doi:https://doi.org/10.54216/PMTCS.050104

International Journal of Neutrosophic Science | 2025

On Class of Bi-univalent functions involving Neutrosophic 𝓆-Poisson distribution Series

This paper introduces and investigates a new class of bi-univalent functions constructed through the Neutrosophic 𝓆-Poisson distribution series. The study focuses on estimating the upper bounds of the basic coefficients |a_2 |and |a_3 |   in the Taylor series expansion of these functions.

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Banin Shaker Jubeir mail -

Mohammad El-Ityan mail -

Rafid Habib Buti mail -

Mohammed Hassan Hamza mail

link https://doi.org/10.54216/IJNS.260326

Volume & Issue

Vol. Volume 26 / Iss. Issue 3

Details open_in_new

Journal of Sustainable Development and Green Technology | 2025

Sustainable Economic Development and Principles of Green Economy of Uzbekistan in 2017-2024

The study examines Uzbekistan’s economic development and the implementation of green economy principles from 2017 to 2024. During this period, the country achieved notable progress in economic diversification, the adoption of renewable energy sources, and ensuring environmental sustainability. Nevertheless, challenges such as waste management and the efficient use of water resources remain pressing issues that require future attention and resolution.

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Khodjieva Dilrabo mail

link https://doi.org/10.54216/JSDGT.050103

Volume & Issue

Vol. Volume 5 / Iss. Issue 1

Details open_in_new

American Journal of Business and Operations Research | 2025

Data-Driven Pricing Decisions for Ensuring the Success of Strategic Product Development

By effectively including diffusion into the framework, this study further illustrates whether Optimal Control Theory may be used to identify and address the control of prices issue of technology items. There is a three-stage paradigm that it uses to describe the procedure of adoption process: consciousness, inspiration, and adopting itself. The process is described by the diffusion logistic functions; furthermore, the model takes into account price fluctuations’ sensitivity. The selling price is a choice variable constrained such that the total profit over the relevant planning horizon is optimised. In this paper, the Hamiltonian function is used in obtaining necessary optimality conditions with spectral learning effects and Costate equations complemented by the adoption rates by use of Pontryagin’s Maximum Principle. As the problem is formulated as the continuous optimization problem, it is discretized for its practical applications, and the model is solved with the help of LINGO 15.0 software. The data used to validate the model implemented was derived from historical sales records of the electronics and semiconductor industries to obtain a measure of realism. Analysed sensitivity studies show how variations in adoption parameters including the price elasticity and customer attrition affect adoption rates and profitability. As such, the study offers managerial implications for the management of private sector schemes to focus on the application of dynamic pricing strategies as the optimal balance between consumers’ perceived value and firm revenues. It provides managers with strong tools for the implementation of adoption into a new generation of technology-enabled markets, maximization of revenues, and sustaining of competitive advantage. Outperforming all analysed models, the suggested technique employing Optimal Control Theory obtains an accuracy of 96%. This proves that the suggested strategy is the best at forecasting when a product will be adopted.

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Ramazan Yasar mail -

Sergey Drominko mail

link https://doi.org/10.54216/AJBOR.120205

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new

Journal of Cognitive Human-Computer Interaction | 2025

An Intelligent Framework for Flavor Recommendation and Cost Optimization in Hybrid Cloud Autoscaling

This research presents a flavor recommendation framework that intends to be used in hybrid clouds to address resource provisioning and cost issues. A cloud “flavor” is an instance type that assigns values for CPU, memory, storage, and networking. Today the flavor selection process is manual, and no dynamic technique is used, therefore, the process is inefficient because some flavors are underutilized. The proposed framework also provides flavor recommendations for autopiloted dynamic capacity provisioning using predictor analysis of workload and cost proportional to different CSPs. It uses an RNN_LSTM-based Proactive Predictive Engine (PPE) to quantitatively estimate future resource requirements and a Recommendation Engine consisting of the scoring and flavor engines. This framework receives the application’s actual and predicted consumption of CPU and memory, cost fluctuations, and CSPs’ options and then the selection of various flavors is performed in the runtime. Metrics are gathered, stored, and analyzed in real-time through Telegraf, InfluxDB, and Apache Libcloud for current resource allocation. Experimental results of the system on AWS and OpenStack show the benefit of using the proposed framework, which reduced the number of EBS and VMs by 19% and the cost saving by up to 17% compared with traditional and reactive approaches. This solution turns static resource allocation into a real-time predictive accuracy of how resources are best utilized as well as the expense at the hybrid cloud environment.

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Agnes Osagie mail -

Sandra Terazic mail -

Barbara Charchekhandra mail

link https://doi.org/10.54216/JCHCI.090207

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

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Galoitica: Journal of Mathematical Structures and Applications | 2025

The Characterization of 4-Cyclic Refined Vector Spaces

This paper is dedicated to study 4-cyclic refined vector spaces, where we classify these spaces by using semi-module isomorphisms as direct product of classical complex vector spaces. In addition, we study the inner products defined over these structures and we present sufficient conditions for 4-cyclic refined orthogonality.

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Mohammad Abobala mail -

Hasan Sankari mail

link https://doi.org/10.54216/GJMSA.0120101

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2025

Turiyam Set Based Four Way Mathematical Characterization of Retracted Paper

Recent time retraction analysis is considered as one of the major issues. The retraction is a regular process where some time it is true, some time happen due to conflict, some time due to indescribable parameters or last via self retraction by authors or Editor. It is happening due to pressure on academia and its quality measurement by quantitative publications and citation rather than qualitative. It forces researchers to add the co-authors for increment, promotion, or citation rather than focusing on true research. Some time the retraction happens due to self correction, genuine mistake or conflict of interest with editor. These types of genuine or self retraction happended using Turiyam awareness of authors or editor which can be considered as positive retraction. It is also noted that negative results are also part of the research as equal to positive or noble research. It is difficult to characterize these types of retraction. In this paper author has introduced a mathematical model for precise analysis of retracted paper and its characterization in true (t), false(f), indeterminant (i) and liberal (l) region for intellectual measurement. Same time the extension of work for undefined or unknown paramerters of retraction or unretraction is also discussed using the complement of Turiyam operator with an example.

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Prem Kumar Singh mail

link https://doi.org/10.54216/GJMSA.0120102

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new

Journal of Neutrosophic and Fuzzy Systems | 2025

HyperFuzzy Graph and Hyperfuzzy HyperGraph

Fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, plithogenic sets, and other uncertainty handling frameworks are the subject of intensive daily research. Analogous investigations have been pursued in the contexts of graphs, hypergraphs, and superhypergraphs. In this paper, we introduce new definitions of the hyperfuzzy hypergraph and superhyperfuzzy hypergraph, which extend the notion of the fuzzy hypergraph. We also revisit and refine the concepts of the hyperfuzzy graph and the superhyperfuzzy graph.

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Takaaki Fujita mail -

Prem Kumar Singh mail

link https://doi.org/10.54216/JNFS.100101

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2025

A Short Contribution to the Classification of the Group of Units of the Rings (NCR)_(Z_pq ), (NCR)_(Z_(2^n ) ) and NCRZ_(p^2 )

In this paper, we study the group of units problem of three different non-commutative logical extensions rings, where we classify the group of units of the rings (NCR)_(Z_pq ), (NCR)_(Z_(2^n ) )and (NCR)_(Z_(p^2 ) )as semi direct products of well-known abelian groups as the following: U(N⊂R)_(Z_pq )&cong;(Z_(p-1)×Z_(q-1) )&prop;[(Z_p×Z_q )&prop;(Z_(p-1)×Z_(q-1)), U(NCR)_(Z_(2^n ) )&cong;(Z_2×Z_(2^(n-2)))&prop;(Z_(2^n )&prop;(Z_2×Z_(2^(n-2)))),   U(N⊂R)_(Z_(p^2 ) )&cong;Z_(p^2-p)&prop;(Z_(p^2 )&prop;Z_(p^2-p)).

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Lee Xu mail -

Olalekan Joosati mail

link https://doi.org/10.54216/GJMSA.0120103

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

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Pure Mathematics for Theoretical Computer Science | 2025

HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph

A weighted graph is a graph in which each edge is assigned a numerical value (weight), typically representing cost, distance, or intensity. In this paper, we revisit and further explore three generalizations of weighted graphs: the Hyperweighted Graph, the Superhyperweighted Graph, and the MultiWeighted Graph. These advanced structures were initially introduced in.10 Our objective is to enhance understanding and broaden awareness of their theoretical foundations and potential applications through renewed analysis and formal refinement

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Takaaki Fujita mail

link https://doi.org/10.54216/PMTCS.050103

Volume & Issue

Vol. Volume 5 / Iss. Issue 1

Details open_in_new

Pure Mathematics for Theoretical Computer Science | 2025

Neighborhood HyperRough Set and Neighborhood SuperHyperRough Set

Fuzzy sets,20 rough sets,14 intuitionistic fuzzy sets,3 neutrosophic sets,15 soft sets,13 hesitant fuzzy set,17 plithogenic sets,16 and other uncertainty-handling frameworks have been the focus of intensive and ongoing research. Rough set theory provides a mathematical framework for approximating subsets through lower and upper approximations defined by equivalence relations, effectively capturing uncertainty in classification and data analysis.5, 10 Building upon these foundational concepts, further generalizations such as Hyperrough Sets8 and Superhyperrough Sets have been introduced. In this paper, we investigate the concepts of Neighborhood Hyperrough Sets and Neighborhood Superhyperrough Sets. These models extend the classical Neighborhood Rough Set framework by incorporating the structural richness of Hyperrough Sets and Superhyperrough Sets.

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Takaaki Fujita mail

link https://doi.org/10.54216/PMTCS.050104

Volume & Issue

Vol. Volume 5 / Iss. Issue 1

Details open_in_new