Interval Valued Vector Variational Inequalities and Vector Optimization Problems via Convexificators

Tirth Ram,Rohit Kumar Bhardwaj 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.6

In this study, we take into account interval-valued vector optimization problems $(IVOP)$ and obtain their relationships to interval vector variational inequalities $(IVVI)$ of Stampacchia and Minty kind in aspects of convexificators, as well as the $(IVOP)$ LU-efficient solution under the LU-convexity assumption. Additionally, we examine the weak version of the $(IVVI)$ of the Stampacchia and Minty kind and determine the relationships between them and the weakly LU-efficient solution of the $(IVOP)$. The results of this study improve and generalizes certain earlier results from the literature.

Vector equilibrium problems for trifunction in measurable space and its applications

Tirth Ram,Anu Kumari Khanna 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3

In this work, we introduced and study vector equilibrium problems for trifunction in measurable space (for short, VEPMS). The existence of solutions of (VEPMS) are obtained by employing Aumann theorem and Fan KKM lemma. As an application, we prove an existence result for vector variational inequality problem for measurable space. Our results in this paper are new which can be considered as significant extension of previously known results in the literature.

SETVALUED MIXED QUASI-EQUILIBRIUM PROBLEMS WITH OPERATOR SOLUTIONS

Tirth Ram 경남대학교 기초과학연구소 2022 Nonlinear Functional Analysis and Applications Vol.27 No.1

In this paper, we introduce and study generalized mixed operator quasi-equilibrium problems(GMQOEP) in Hausdorff topological vector spaces and prove the existence results for the solution of (GMQOEP) in compact and noncompact settings by employing 1-person game theorems. Moreover, using coercive condition, hemicontinuity of the functions and KKM theorem, we prove new results on the existence of solution for the particular case of (GMQOEP), that is, generalized mixed operator equilibrium problem (GMOEP).

ON OPTIMAL SOLUTIONS OF WELL-POSED PROBLEMS AND VARIATIONAL INEQUALITIES

Tirth Ram,Jong Kyu Kim,Ravdeep Kour 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.4

In this paper, we study well-posed problems and variational inequalities in locally convex Hausdorff topological vector spaces. The necessary and sufficient conditions are obtained for the existence of solutions of variational inequality problems and quasi variational inequalities even when the underlying set $K$ is not convex. In certain cases, solutions obtained are not unique. Moreover, counter examples are also presented for the authenticity of the main results.

OPERATOR SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEMS IN HAUSDORFF TOPOLOGICAL VECTOR SPACES

Ram Tirth,Lal Parshotam,Kim Jong Kyu 경남대학교 기초과학연구소 2019 Nonlinear Functional Analysis and Applications Vol.24 No.1

In this paper, we consider the generalized equilibrium problems with operator solutions and derive some existence results for generalized operator equilibrium problems in Hausdorff topological vector spaces by employing KKM theorem. The results presented of this paper generalize and unify the corresponding results of the several authors.

Analyst of nanofluids massic temperature quality assessment of artificial intelligence

Tawfiq Al-Mughanam,Vineet Tirth 한양대학교 청정에너지연구소 2023 Journal of Ceramic Processing Research Vol.24 No.2

Nanofluids are a class of fluids that contain a small number of nanoparticles, which have unique thermal and physicalproperties that make them suitable for various industrial and biomedical applications. However, the quality of nanofluids isoften affected by factors such as temperature, concentration, and stability, which can affect their performance. This studyaimed to develop an AI-based method for assessing the massic temperature quality of nanofluids, which can be used tooptimize their performance and ensure their stability. The study used a dataset of massic temperature measurements ofnanofluids, which were collected from experiments. The dataset was then preprocessed and used to train a machine learningmodel, which was able to predict the massic temperature of nanofluids based on their concentration and stability. The resultsshowed that the AI-based method was able to accurately predict the massic temperature of nanofluids, with a mean absoluteerror of less than 1%. The study also investigated the effect of different factors on the massic temperature of nanofluids, suchas the type of nanoparticle, the size of the nanoparticle, and the method of preparation. The results showed that these factorshave a significant impact on the massic temperature of nanofluids and that the AI-based method can be used to optimize theperformance of nanofluids by adjusting these factors. The study utilizes a Mean Absolute Error (MAE) to ensure betterconsistency between predicted and observed values. The results indicate that the heat capacity of the nanofluids improved by57%.

Study on Microstructure Characterisation of Three Different Surface Coating Techniques on 6082-T6 Aluminum Alloy

Essam R. I. Mahmoud,Ali Algahtani,Vineet Tirth 대한금속·재료학회 2021 METALS AND MATERIALS International Vol.27 No.10

The aim of this study was to investigate the detailed macro/microstructures of three different surface coating technologieson the 6082-T6 aluminum alloy surface, namely Plasma Electrolytic Oxidation (PEO), Hard Anodizing (HA), and PlasmaSpray Ceramic (PSC). Some of the PEO coatings were sealed with silicates. The microstructure investigations were performedusing optical microscope, scanning electron microscope equipped with EDX analyzer and X-ray diffractometer. Themicrohardness of the base material and the coated layer were evaluated using Knoop indenter. All the coated layers appearedas two different layers. The PSC coating was the thicker followed by HA then PEO coating. The HA coating had irregularsurface appearance, contained some cracks and appeared as an amorphous structure. The PSC coating was loose and hada poor bond with the substrate. The structure of PSC coating exhibited a lamellar geometry configuring 14% α-Al2O3 and86% γ-Al2O3. The presence of porosity and voids was also observed. The PEO coatings were uniform and comprehensive. Itadhered quite well to the substrate consisting of alumina (α and γ) phases. The ratio of γ alumina to α alumina was 79:31%. The sealed PEO coating with silicate had much lower porosity especially in the outer layer. All the coatings exhibited higherhardness than the substrate. The PEO coating showed the highest hardness compared with other coatings. The hardness ofthe PEO coating improved as the readings were taken away from the base. It displayed a maximum value in the middle andthen started to reduce. The PSC coating has the highest roughness value followed by HA and then PEO coatings.

Automation Monitoring With Sensors For Detecting Covid Using Backpropagation Algorithm

( Pravin R. Kshirsagar ),( Hariprasath Manoharan ),( Vineet Tirth ),( Mohd Naved ),( Ahmad Tasnim Siddiqui ),( Arvind K. Sharma ) 한국인터넷정보학회 2021 KSII Transactions on Internet and Information Syst Vol.15 No.7

This article focuses on providing remedial solutions for COVID disease through the data collection process. Recently, In India, sudden human losses are happening due to the spread of infectious viruses. All people are not able to differentiate the number of affected people and their locations. Therefore, the proposed method integrates robotic technology for monitoring the health condition of different people. If any individual is affected by infectious disease, then data will be collected and within a short span of time, it will be reported to the control center. Once, the information is collected, then all individuals can access the same using an application platform. The application platform will be developed based on certain parametric values, where the location of each individual will be retained. For precise application development, the parametric values related to the identification process such as sub-interval points and intensity of detection should be established. Therefore, to check the effectiveness of the proposed robotic technology, an online monitoring system is employed where the output is realized using MATLAB. From simulated values, it is observed that the proposed method outperforms the existing method in terms of data quality with an observed percentage of 82.

Simulation Guided Microfluidic Design for Multitarget Separation Using Dielectrophoretic Principle

Mohamed Zackria Ansar B.I.,Vineet Tirth,Caffiyar Mohamed Yousuff,Neeraj Kumar Shukla,Saiful Islam,Kashif Irshad,Mohammed Aarif K.O. 한국바이오칩학회 2020 BioChip Journal Vol.14 No.4

Microfluidic technologies have emerged as a potential tool for point of care - diagnostics and therapeutics applications. Isolation of multi-targets (Cancer cells along with platelets, red blood cells (RBCs), white blood cells (WBCs), and antigen-presenting cells (APCs)) simultaneously is of great interest in drug discovery and medical diagnosis. By utilizing dielectrophoresis (DEP) effect inside the micro channel, several attempts were made to separate binary mixtures by precisely controlling and manipulating the motion of the particles. However, all of these methods limit its applicability for multi-target particle separation in a single run. In this paper, we attempt to develop a simulation model with novel electrode arrangements to isolate multiple particles using negative DEP. Our proposed model establishes criteria for separating micron- sized particle mixtures (3μm, 7μm, 15μm, 20μm, 25μm) with various electrode shapes, electrode potentials, inlet velocities, and channel widths. The device efficiency was evaluated for a triangular electrode, square-shaped electrode, and rectangular electrode under various practical design constraints. Our study demonstrates an optimum solution for effective separation of particle mixtures using triangular electrode arrangements (utilizing less voltage) and a wider channel of 300μm width that eventually avoid channel clogging issues due to cells inside main channel and collection channels. While evaluating the separation efficiency of the proposed design, we observe that platelets, RBCs, WBCs, APCs, and CTCs experienced distinct DEP force on each, allowing them to collect in different collection outlets without any crossmixing. Hence our proposed design allows flexibility to the researchers working on DEP by using a wider channel with triangular electrode arrangements enabling them to fabricate the device under resourcelimited constraints

Efficacy of nonsurgical periodontal therapy on glycaemic control in type II diabetic patients: a randomized controlled clinical trial

Ravishankar Lingesha Telgi,Vaibhav Tandon,Pradeep Shankar Tangade,Amit Tirth,Sumit Kumar,Vipul Yadav 대한치주과학회 2013 Journal of Periodontal & Implant Science Vol.43 No.4

Purpose: Diabetes and periodontal disease are two common diseases with high prevalence rates. Recent evidence has shown a bidirectional relationship between diabetes and periodontitis. The aim of this study was to investigate the effects of nonsurgical periodontal therapy on glycemic control in type 2 diabetes mellitus patients. Methods: Sixty subjects aged 35–45 years with blood sugar controlled by oral hypoglycaemic agents were randomly divided equally among 3 groups: group A (scaling, mouthwash, and brushing), group B (mouthwash and brushing), and group C (brushing only). Glycated haemoglobin (HbA1c), fasting blood sugar (FBS), probing pocket depth (PPD), gingival index (GI), plaque index (PI), and the relevant drug history were recorded at baseline and after 3 months of intervention. Comparison of the mean difference among the variables was performed by parametric and nonparametric tests, which were further evaluated using multiple regression analysis. Results: The mean differences between the PPD, FBS, HbA1c, GI, and PI in groups A and B were found to be statistically significant (P<0.001). Multiple regression analysis in group A showed that out of all the independent variables, GI and frequency of drug administration independently (b=0.3761 and b=0.598) showed a significantly greater impact on HbA1c (R2=0.832, P<0.05). Conclusions: Nonsurgical periodontal therapy can effectively decrease HbA1c levels in type 2 diabetes mellitus patients on medication.